Kelsey orders several snow globes that each come in a cubic box that measures 14
foot on each side. Her order arrives in the large box shown below. The large box is completely filled with snow globes.

Answers

Answer 1

The number of snow globe in box is  x³/ 2744.

What is Volume?

Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

Given:

length of one small cube = 14 foot.

Volume of small cube = l³

                                     = 2744 ft³

let the edge of one large cube be x.

So, volume of large cube= x ft³

Thus, number of globes in larges box

= Volume of large box/ Volume of small box

= x³/ 2744

Learn more about Volume here:

https://brainly.com/question/1578538

#SPJ1


Related Questions

A researcher tested two groups (females and males) of rats on memory performance. The following scores are for the number of correct choices they made on the task:

Answers

The probability distribution does not add up to 1.0, in other words.

What is meant by probability?Probability, in its simplest form, gauges the likelihood that something will happen. When we are unsure of how an event will turn out, we might talk about the likelihood of different outcomes.The study of events susceptible to probability is known as statistics. The probability is frequently stated as a ratio between the total number of outcomes in the sample space and the number of positive outcomes.This is how it is written: Number of Favorable Outcomes P(E) = Probability of an Event (Sample space).Probability can be divided into four main categories: axiomatic, axiomatic, classical, and empirical. The area of mathematics known as probability studies the likelihood that a random event will occur.

The complete question is:

A researcher records the number of mistakes made during a memory skills task. He finds that the probability that participants in this study made 0 mistakes is p = .22; made 1 mistake is p = .30; made 2 mistakes is p = .16; made 3 mistakes is p = .12; and made 4 or more mistakes is p = .25. Is this probability distribution accurate?

To learn more about probability, refer to:

https://brainly.com/question/24756209

#SPJ1

Answer:

It is not accurate

Step-by-step explanation:

If the complete question is:

A researcher records the number of mistakes made during a memory skills task. He finds that the probability that participants in this study made 0 mistakes is p = .22; made 1 mistake is p = .30; made 2 mistakes is p = .16; made 3 mistakes is p = .12; and made 4 or more mistakes is p = .25. Is this probability distribution accurate?

THEN:

To determine whether the probability distribution is accurate, we need to check two conditions:

The sum of the probabilities should be equal to 1.

All probabilities should be between 0 and 1.

Let's check these conditions:

Sum of probabilities:

p(0) + p(1) + p(2) + p(3) + p(4 or more) = 0.22 + 0.30 + 0.16 + 0.12 + 0.25 = 1.05

The sum of the probabilities is greater than 1, which violates the first condition. Therefore, this is not a valid probability distribution.

All probabilities should be between 0 and 1:

The probability of making 0, 1, 2, or 3 mistakes are all between 0 and 1, so they satisfy this condition.

However, the probability of making 4 or more mistakes is 0.25, which is a valid probability, but it implies that the probability of making 0, 1, 2, or 3 mistakes is negative, which is impossible. Therefore, this distribution does not satisfy this condition.

Since this probability distribution violates both conditions for a valid probability distribution, it is not accurate, and the researcher should revise their data.

12. Find (a) the perimeter and (b) the area of the
figure. Dimensions are in meters.
8
8

Answers

The perimeter of the given figure is: 36 +16√5 ft ≈ 71.777 ft

The area of the figure is: 288 ft²

How to find the area of a region?

Supposing that there is no direct formula available for deriving the area, we can derive the area of that region by dividing it into smaller pieces, whose area can be known directly. Then summing all those pieces' area gives us the area of the main big region.

We know that the perimeter is the total length of all the sides. The length of the horizontal sides is; 8 ft + 10 ft = 18 ft.

The length of the slant sides can be found by the Pythagorean theorem.

For side length s, we have;

s^2 = 8^2 + 16^2

 s^2 = 64 +256 = 320

 s = √320 = 8√5

Then the perimeter;

 P = 2(8√5 + 18) = 36 +16√5 ≈ 71.777 . . . feet

Area,  A = bh

where b is the base and h is the height.

 A = (18 ft)(16 ft) = 288 ft²

Learn more about area here;

https://brainly.com/question/23996767

#SPJ1

pls help with this
Find the length of side x in simplest radical form with a rational denominator.

Answers

The length of x is 6 in the given triangle.

What is Trigonometry?

The branch of Mathematics which studies relationships between side lengths and angles of triangles.

We have to find the value of x in the given triangle.

We know that tan theta is the ratio of opposite side by adjacent side.

The opposite side is x and the adjacent side has √12

tan60=x/√12

√3=x/√12

x=√12√3

x=√36

x=6

Hence, the length of x is 6.

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ9

decimal of 3\4 and percent

Answers

What does it mean to have something be equal (Equivalent)?

Equivalence means to be same, whether it be value, temperature, size, etc.

First, let's convert [tex]\frac{3}{4}[/tex] into a different fraction.

[tex]\frac{3}{4}[/tex] = [tex]\frac{75}{100}[/tex]

We know this because each side of the fraction [tex]\frac{3}{4}[/tex] can be multiplied by 25 to get [tex]\frac{75}{100}[/tex].

3 × 25 = 754 × 25 = 100

Now that we know this, we can convert the fraction [tex]\frac{75}{100}[/tex] into a percentage.

What is a percentage?

A percentage is a ratio, or a number expressed in the form of a fraction of 100. Percentages are often used to express a part of a total.

if we know that percentages are expressed as a fraction of 100, we know that [tex]\frac{75}{100}[/tex] is equal to %75.

To convert percentages into decimals, we can just take the percentage (%75) and fit it into 0.00, making it 0.75.

Therefore, the fraction [tex]\frac{3}{4}[/tex] as a percentage is %75, and as a decimal it is 0.75.

Rewrite in simplest terms:-2(-10v+1)-6v

Answers

Answer:

14v-2

Step-by-step explanation:

1. distribute

2. combine like terms

see photo for more information

14v-2
Because
20v-2 -6v
Then u get 14v-2

A cylinder shaped dispenser holds 5,652 cubic centimeters of liquid soap and is now full. The radius of the dispenser is 7. 5 centimeters. What is the difference between the height of the soap in the full dispenser and the height when 4,239 cubic centimeters of soap remains in the dispenser? use 3. 14 for pi. Enter your answer in the box.

Answers

Answer:

The difference in height is 8cm

Step-by-step explanation:

Volume of a cylinder=hπr²

When the bottle is full 5652:

5652=hπr²

5652=h*3.14*7.5²

5652=h*176.625

5652/176.625=h

Height=32cm

When the bottle is full by 4239:

4239=hπr²

4239=h*3.14*7.5²

4239=h*176.625

4239/176.625=h

Height=24cm

Difference in height:

32-24=8

The difference in height is 8cm

Explain in words the graphical transformations that f(x) undergoes to become
f(x + 9) − 1.

Answers

The transformations taking place in the given function is a horizontal left ward shift of 9 units and 1 unit upward vertical shift.

What is transformation?

A Transformation in Math is a process of moving an object (two-dimensional shape) from its original position to a new position.

Given that, a function f(x) undergo some transformations to become f(x+9)-1,

We know that,

Vertical Shifting:

Adding a constant to a function will shift its graph vertically (i.e. y = f (x) + c). Adding a positive constant c will shift the graph upward c units, while adding a negative constant c will shift it downward c units.

Horizontal Shifting:

Horizontal shifts are inside changes that affect the input (x-) axis values and shift the function left or right. Combining the two types of shifts will cause the graph of a function to shift up or down and right or left.

Therefore, there is transformation of a horizontal and vertical shift.

Hence, the transformations taking place in the given function is a horizontal left ward shift of 9 units and 1 unit upward vertical shift.

Learn more about transformations, click;

https://brainly.com/question/29194193

#SPJ9

Learning Page
QUESTION
We'd like to simulate the probabilities involved when Ivanna shoots two penalty kicks.
The table below gives a simulation of Ivanna shooting penalty kicks.
The table shows 10 trials. Each trial has two simulated penalty kicks.
Each simulated penalty kick is a random number from 1 to 100.
Trial
1
2
3
4
5
6
7
8
an
First
penalty kick
91
10
33
88
92
56
More Practice
4
92
45
40
39
Second
penalty kick
43
82
29
58
86
45
11
36
6
43

Answers

The correct answers are given below:

(a) 1 to 55

(b) 40%

How to solve this

Since Mansour scores 55% of his kicks, we'd want exactly 55% of the simulated numbers to denote Mansour scoring a penalty, thus, 1 to 5 is a possible range.

To find the percentage of trials where Mansour scored exactly one penalty, we have to count the trials where one of the simulated numbers is in the range of 1 to 5 (denoting Mansour scoring the penalty) and the other is in the range of 56 to 100 (denoting Mansour missing the penalty)

Trails 1, 3, and 4, 6 are such trials. Thus, Mansour scored exactly one penalty kick in 40% of the trials.

Read more about probability here:

https://brainly.com/question/24756209

#SPJ1

Given: log a 2 = 4, log a 3 = 5, log a 5 = 8. Find log a 60.
A. 2.9
B. 1.46
C. .32
D. 2.1​

Answers

The solution of the logarithm expression  logₐ 60 is 2.1. Therefore, the answer is D.

How to solve logarithm?

The logarithm expression can be solved as follows; Using the logarithm rule,

Law of multiplication of logarithm,

logₐ x + logₐ y = logₐ xy

Therefore,

logₐ 2 = 4

logₐ 3 = 5

logₐ 5 = 8

Hence, let's find logₐ 60.

logₐ 5 + logₐ 3 + logₐ 2 + logₐ 2 = logₐ (5 × 3 × 2 × 2) = logₐ 60

Hence,

0.8 + 0.5 + 0.4 + 0.4 = 2.1

Therefore,

logₐ 60 = 2.1

learn more on logarithm here: https://brainly.com/question/29081306

#SPJ1

The value of log a 60 is 21. The correct option is D.

What is a Logarithm?

Logarithms are another way of writing exponents.

Logarithm is nothing but another way of expressing exponents and can be used to solve problems that cannot be solved using the concept of exponents only.

log a 60 = log a (12 x 5)

log a 60 = log a 12 x log a 5

log a 60 = log a (4 x 3) x log a 5

log a 60 = log a 4 x log a 3 x log a 5

log a 60 = 2 log a 2 x log a 3 x log a 5

Substituting the values for the logs

log a 60 = 2 (4) + 5 + 8

log a 60 = 21

Learn more about logarithms here: https://brainly.com/question/25710806

#SPJ1

find the sum of 10+3x,25-4x+2x^,3x^-5x and -x^+2x+15​

Answers

Answer:

50 + 5x^2 + 4x.

Step-by-step explanation:

To find the sum of the expressions, we need to simplify each expression first and then add them up.

10 + 3x represents the first expression.

25 - 4x + 2x^2 represents the second expression. By simplifying this expression, we get 25 + 2x^2 - 4x.

3x^2 - 5x represents the third expression.

-x^2 + 2x + 15 represents the fourth expression.

Adding all four expressions gives us:

10 + 3x + 25 + 2x^2 - 4x + 3x^2 - 5x - x^2 + 2x + 15

By combining like terms, we get:

10 + 5x^2 + 4x + 25 + 15

The final simplified sum is:

50 + 5x^2 + 4x.


Guess the value of the following limit (if it exists) by evaluating the function at the given numbers.

Answers

The value of the limit of the rational function evaluated x = - 5 is equal to - 6.

How to determine the exact value of a limit at a given value

In this problem we find the limit of rational function evaluated at a given value. According to the statement, there is apparently a discontinuity at x = 5. The expression can be simplified by algebra properties:

[tex]\lim_{x \to - 5} \frac{x^{2} + 4 \cdot x - 5}{x + 5}[/tex]

[tex]\lim_{x \to -5} \frac{(x + 5)\cdot (x - 1)}{(x + 5)}[/tex]

[tex]\lim_{x \to - 5} (x - 1)[/tex]

Then, we can complete the table by means of the following expression:

f(x) = x - 1

x = - 5.01

f(- 5.01) = - 5.01 - 1

f(- 5.01) = - 6.01

x = - 5.001

f(- 5.001) = - 5.001 - 1

f(- 5.001) = - 6.001

x = - 5.0001

f(- 5.0001) = - 5.0001 - 1

f(- 5.0001) = - 6.0001

x = - 5

f(- 5) = - 5 - 1

f(- 5) = - 6

x = - 4.9999

f(- 4.9999) = - 4.9999 - 1

f(- 4.9999) = - 5.9999

x = - 4.999

f(- 4.999) = - 4.999 - 1

f(- 4.999) = - 5.999

x = - 4.99

f(- 4.99) = - 4.99 - 1

f(- 4.99) = - 5.99

To learn more on limits: https://brainly.com/question/20512128

#SPJ1

Question content area top
Part 1
Find the measure of side a.

Answers

Side a will be 58cm.In mathematics, a side is a feature of a geometric shape.

A side: What is it?

The "A-side" of a record, which is the main song, is issued as a single. The "A-side" of an album is the side that this track is on. The word "side" is most frequently employed as a noun, however it can also be used as an adverb or a verb. The shapes we observe are made of points and lines (line segments) (vertices).

Finding the side, we obtain:

Given ∠A= 30°, b =100 cm .

In ΔABC,

tan A = [tex]\frac{a}{100}[/tex],

tan 30°=  [tex]\frac{a}{100}[/tex]

0.577×100=a

a=57.7≅58 cm.

To know more about side visit:

https://brainly.com/question/29082532

#SPJ1

Stats Determine the y-intercept and slope from the equation: y = 5.8 +2.5x

Answers

The slope is 2.5

The y-intercept is 5.8.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

y = 5.8 + 2.5x

This is in the form of y = mx + c

So,

m = 2.5

And,

The y-intercept is when x = 0.

So,

y = 5.8 + 2.5x

Substitute x = 0,

y = 5.8

Thus,

Slope is 2.5

The y-intercept is 5.8.

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ1

An older person is 5 years older than four times the age of a younger person.
The sum of their ages is 30. Find their ages.


Their ages are _____


(Use a comma to separate answers as needed.)

Answers

Their ages are 5 years, 25 years

How to find their ages?

Word problems are sentences describing a 'real-life' situation where a problem needs to be solved by way of a mathematical calculation.

Let L and Y represent the age of the older person and younger person respectively.

Using the given information, we can write:

L = 4Y + 5 --- (1)

L + Y = 30 --- (2)

From (2):

L = 30 - Y --- (3)

Put (3) in (1):

L = 4Y + 5

30 - Y = 4Y + 5

4Y + Y = 30 - 5

5Y = 25

Y = 25/5

Y = 5 years

Put Y = 5 into (3):

L = 30 - Y

L = 30 - 5

L = 25 years

Their ages are 5 years, 25 years

Learn more about word problems on:

brainly.com/question/13818690

#SPJ1

If Z₁=3-2i
Z2=-2+3i
Z3=4+2i
Evaluate Z₂ Z3/Z₁

Answers

To evaluate Z₂ Z3/Z₁, we need to multiply Z₂ and Z3 and then divide by Z₁.

First, we'll multiply Z₂ and Z3:

Z₂ Z3 = (-2 + 3i)(4 + 2i)
= -8 - 4i + 12i + 6i²
= -8 + 8i + 6(-1)
= -2 + 8i

Next, we'll divide this result by Z₁:

Z₂ Z3 / Z₁ = (-2 + 8i) / (3 - 2i)

We can simplify this fraction using complex numbers:

= ( (-2) * (3 + 2i) + (8i) * (3 - 2i) ) / ( (3 - 2i) * (3 + 2i) )

= (6 + 4i + 16) / (9 + 6)

= 22 / 15

So the answer is Z₂ Z3 / Z₁ = 22/15.

Answer:

32/13

Step-by-step explanation:

To evaluate the expression Z₂ * Z3 / Z₁, we first need to find the complex numbers Z₂ * Z3 and Z₁.

Z₂ * Z3 = -2 + 3i * 4 + 2i = (-8 + 14i) + (-6 + 6i) = -8 + 8i

Z₁ = 3 - 2i

So, Z₂ * Z3 / Z₁ = (-8 + 8i) / (3 - 2i)

We can simplify this expression by multiplying the numerator and denominator by the complex conjugate of the denominator, which is (3 + 2i).

Z₂ * Z3 / Z₁ = (-8 + 8i) / (3 - 2i) * (3 + 2i) / (3 + 2i) = (-8 + 8i) * (3 + 2i) / (3 - 2i) * (3 + 2i)

Z₂ * Z3 / Z₁ = ((-8 * 3 + 8 * 2i) + (8 * 3 + 8 * 2i)) / (3^2 + (-2i)^2) = (16 + 16i) / 13

Therefore, Z₂ * Z3 / Z₁ = (16 + 16i) / 13.

Samir made a scale drawing of a city. He used the scale 5 inches = 1 yard. What scale factor
does the drawing use?
Simplify your answer and write it as a fraction.

Answers

Answer:

the scale factor that Samir used in his drawing is 5/1.

Step-by-step explanation:

Here's a step by step explanation of how to find the scale factor of a drawing:

Identify the scale used in the drawing. In this case, the scale used in Samir's drawing is 5 inches = 1 yard.

Express the scale as a ratio between the two sizes. In this case, the ratio is 5 inches : 1 yard.

Simplify the ratio, if possible. In this case, the ratio 5 inches : 1 yard can be simplified to 5/1.

The simplified ratio, 5/1, is the scale factor of the drawing. This means that for every 5 inches on the drawing, the actual length in the real world is 1 yard.

So, the scale factor that Samir used in his drawing is 5/1.

A rectangular field is four times as long as it is wide. If the perimeter of the field is 400 yards, what are the field’s dimensions?

Answers

Answer:

Answer is in the attached photo.

Step-by-step explanation:

Solution

The solution is in the attached photo, do take note the perimeter of the rectangle is:

2 x Length + 2 x Width.

Answer:

2 x Length + 2 x Width.

Step-by-step explanation:

Put the equation y=x^2-8x+12 into the form y= (x-h)^2+k

Answers

Answer:

y = ( x - 4 )² - 4

Step-by-step explanation:

a² ± 2ab + b² = ( a ± b )²

~~~~~~~~~~~~

y = x² - 8x + 12

y = ( x² - 2(4)(x) + 4² ) - 4² + 12 = ( x - 4 )² - 4

y = ( x - 4 )² - 4

A) In a geometric sequence, t_(1)=625 and the common ratio is r=(1)/(5). For what value of n is t_(n)=(1)/(25)?
b) Determine whether each sequence is arithmetic, geometric, or neither. Then find a formula for the n-th term of the sequence.
(2)/(5),(3)/(6),(4)/(7),(5)/(8),dots

Answers

Answer:

Step-by-step explanation:

A) In a geometric sequence, t_(1)=625 and the common ratio is r=(1)/(5). For what value of n is t_(n)=(1)/(25)?

Step 1: Write the formula for the nth term

The formula for the nth term of a geometric sequence is t_n = t_1 * r^(n-1), where t_1 is the first term and r is the common ratio.

Step 2: Substitute the given values into the formula

t_n = 625 * (1/5)^(n-1)

Step 3: Solve for n when t_n = (1/25)

(1/25) = 625 * (1/5)^(n-1)

(1/25) / 625 = (1/5)^(n-1)

(1/5)^(n-1) = (1/25) / 625

(n-1) = log base (1/5) of ((1/25) / 625)

Step 4: Solve for n

n = 1 + log base (1/5) of ((1/25) / 625)

The value of n is the number of terms that have passed when t_n = (1/25).

B) (2)/(5),(3)/(6),(4)/(7),(5)/(8),...

Step 1: Determine the type of sequence

A sequence is an arithmetic sequence if the difference between any two consecutive terms is constant. Since this sequence does not have a constant difference, it is not an arithmetic sequence.

A sequence is a geometric sequence if the ratio between any two consecutive terms is constant. We can see that the ratio between any two consecutive terms is constant, so this sequence is a geometric sequence.

Step 2: Find the common ratio

To find the common ratio, we can divide any two consecutive terms. For example, the common ratio is (3/6) / (2/5) = (3/2) / (6/5) = 5/6.

Step 3: Write the formula for the nth term

The formula for the nth term of a geometric sequence is t_n = t_1 * r^(n-1), where t_1 is the first term and r is the common ratio.

Step 4: Substitute the given values into the formula

To use this formula, we need to know the value of t_1. We are given t_1 = (2/5), so:

t_n = (2/5) * (5/6)^(n-1)

This is the formula for the nth term of the sequence (2)/(5),(3)/(6),(4)/(7),(5)/(8),...

Isabel wants to pour 90.45 grams of salt into a container. So far, she has poured 55.2 grams. How much more salt should Isabel pour?

Answers

By subtraction we get that, Isabel has to pour 35.25 grams of salt into the container.

What is subtraction?

The operation or process of finding the difference between two numbers or quantities is known as subtraction. To subtract a number from another number is also referred to as 'taking away one number from another'.

According to the information in question:

Total salt = 90.45 grams

Amount of salt poured = 55.2 grams

Thus, the total amount of salt left with her which has to be poured will be calculated by subtraction:

Amount of salt left = 90.45 - 55.2

                               = 35.25 grams

To learn more about equation, visit the link below

https://brainly.com/question/29657992

#SPJ1

Each worker at a store gets paid $15.90 for that first 40 hours worked. After 40 hours, they earn time and a half wages. Every employee has a 28% of his/her gross pay deducted for taxes, insurance etc. how much of a net pay does each worker take home?

Answers

Each worker would take home a net pay of $586.71.

What is the net pay?

The net pay is the amount of money that an employee takes home after all deductions have been made from their gross pay. Gross pay is the total amount of money an employee earns before taxes and other deductions are taken out.

To calculate net pay, you need to subtract all the required deductions from the employee's gross pay.

To calculate the net pay for each worker, we first need to determine their gross pay. The gross pay will depend on the number of hours they worked and whether they worked any overtime.

For the first 40 hours worked, each worker earns $15.90 per hour, so their gross pay for those hours would be:

Gross Pay for 40 hours = $15.90/hour x 40 hours = $636

For any hours worked beyond 40, the worker earns time and a half wages. This means they earn 1.5 times their regular hourly wage of $15.90, or $23.85 per hour. So, if they worked, for example, 45 hours in total, the additional 5 hours would be paid at the overtime rate, resulting in an additional gross pay of:

Gross Pay for 5 overtime hours = $23.85/hour x 1.5 x 5 hours = $178.88

Therefore, their total gross pay would be:

Total Gross Pay = Gross Pay for 40 hours + Gross Pay for 5 overtime hours = $636 + $178.88 = $814.88

Now, we need to calculate the deductions, which we are told are 28% of the gross pay. So the total deductions would be:

Total Deductions = 28% x $814.88 = $228.17

Finally, to determine the net pay, we need to subtract the total deductions from the gross pay:

Net Pay = Gross Pay - Total Deductions = $814.88 - $228.17 = $586.71

Therefore, each worker would take home a net pay of $586.71.

To learn more about the net pay, visit:

https://brainly.com/question/2141572

#SPJ1

A helicopter hovers 1025 feet above a small island.The figure shows that the ang;e of depression from the helicopter to point P is 32 degrees. How far off the coast, to the nearest foot, is the island?

Answers

Answer:

The island is 728 feet off the coast.

Step-by-step explanation:

7. Jane was shopping for oranges, which were listed $0.75 each. She brought seven the discount, she was charged $4.30 before tax. What was the percent discount on each oranges to the checkout lane, where she learned that there was a sale on oranges. With orange?

Answers

The discount on each orange is 81.3%

What is discount?

The discount equals the difference between the price paid for and it's par value. Discount is a kind of reduction or deduction in the cost price of a product.

A sales discount is a reduced price offered by a business on a product or service.

The total price for the oranges is;

0.75 × 7 = $5.25

She paid $ 4.30 for the oranges, this means that the discount = 5.25-4.30 = $0.95

Therefore the percentage discount on all the oranges = 0.95/5.25 × 100

= 18.1%

by discount each orange = 4.30/7 =$ 0.61

Therefore the discount on each orange = 0.61/0.75 ×100 = 81.3 %

Therefore the discount on each orange is 81.3%

learn more about discount from

https://brainly.com/question/1548141

#SPJ1

A spotlight is fixed on the ground 35m from the town hall. It is switched on at night to illuminate the building. When Dirk stands 5m in front of the light, his shadow is as tall as the building, If Dirk is 1.40m tall, how tall is the town hall?​

Answers

To answer this question, we need to use some basic trigonometry. We know that Dirk's shadow is as tall as the town hall and that Dirk is 1.40m tall. So, if we can determine the angle of elevation of the spotlight, we can calculate the height of the town hall.

Let's call the angle of elevation "α" and the distance from the spotlight to the town hall "d". To determine α, we can use the tangent function.
tan α = opposite/adjacent = (d-5)/35 = (30/35) = 0.8571

The angle of elevation is arctan(0.8571) = 53.13°.

Now, we can use the sine function to calculate the height of the town hall:
sin α = opposite/hypotenuse = 1.4/d
d = 1.4/sin 53.13° = 16.2m

Therefore, the town hall is 16.2m tall.

2.2 Kiri's older brother asked the 25 students in his class. 11 students said they think aliens exist. Which class has a greater percentage of students who think aliens exist: Kiri's or her brother's? Explain your thinking.​

Answers

Answer:

The percentage of students in Kiri's brother's class who think aliens exist is 11/25 = 44%.

Since the number of students in Kiri's class is not given, it's not possible to compare the percentage of students in Kiri's class who think aliens exist to the percentage in her brother's class. We need to know the number of students in Kiri's class and the number of students who believe in aliens in order to compare the percentages.

help me please dont know what im doing

Answers

The amount of natural oil needed to make 869 liters of Petrolyn oil is given as follows:

1520.75 liters.

How to obtain the amount of natural oil?

The necessary amount of natural oil is obtained applying the proportions in the context of this problem.

Considering the ratio given in the problem, a rule of three is established, as follows:

7 liters of natural oil - 4 liters of Petrolyn oil.

n liters of natural oil - 869 liters of Petrolyn oil.

Applying cross multiplication, the desired amount is obtained as follows:

4n = 7 x 869

n = 7 x 869/4

n = 1520.75 liters.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Solve.
√4x-3 /9-2x =0
Choose all answers that apply:
A. 1
B. 2
C. 3
D. 6
E. The equation has no solutions

Answers

The value of the expression √4x-3 /9-2x =0 will be B. 2.

How to calculate the value

Rearrange the radical on the left side of the equation:

√4x-3=√9-2x

Power on both sides: (√4x − 3)²=(√9 – 2x)² -

Simplify the radical expression: 4x-3=9-2x Rearrange unknown terms to the left side of the

equation: 4x+2x=9+3

Combine like terms: 6x=9+3

Calculate the sum or difference: 6x=12

Divide both sides of the equation by the coefficient

of variable: x=12÷6

Calculate the product or quotient: x=2

Substitute into one of the equations: √4 x 2 3-√9-2 × 2=0

Calculate the product or quotient: √8

9-2×2

Calculate the product or quotient: √8 3 - √9 4

Calculate the sum or difference: √5-√9

Calculate the sum or difference: √5-√5

Calculate the sum or difference: 0=0

Combine the results: x=2

x=2

Learn more about expressions on:

https://brainly.com/question/1859113

#SPJ1

Courtney can run a 1/4 mile in 2 minutes. At this rate, how many minutes will it take Courtney to
run 1.25 miles?

Answers

Answer:

10 minutes

Step-by-step explanation:

1/4 in 2 minutes

1 1/4 = 1/4 x 5

2 x 5 = 10

(That's REALLY good honestly)

Teresa needs to make a total of 95 deliveries this week. So far she has completed 76 of them. What percentage of her total deliveries has Teresa completed?​

Answers

Answer:

Step-by-step explanation:

its Reduced to 2 / 5, which is 40 percent. Maria has 40 percent of her work completed

Biketown is a 100-year-old manufacturer of bicycles. It has a loyal customer base who appreciate the workmanship of its bicycles and are willing to pay more for its products. In order to compete with lower priced manufacturers, biketown has purchased a new automated machine to assemble bicycles that is more efficient and less costly than the existing manual assembly process. Select who would not be a stakeholder in this business decision.

Answers

Someone who is not a stakeholder in this business does not have any interest or concern in Biketown's decision to purchase a new automated machine.

In this scenario, stakeholders for Biketown's decision to purchase are Customers who appreciate the workmanship of Biketown's bicycles, Employees who are involved in the assembly process, Shareholders who have invested in the company, Suppliers who provide materials or components for the bicycles.

Local community members who may be impacted by the company's operations or decisions. An individual who has no knowledge of or interaction with Biketown or the bicycle industry, and therefore has no stake in the decision.

To know more about Stake holders:

https://brainly.com/question/28404310

#SPJ4

Other Questions
consider the compression of air by means of (a) shock compression and (b) isentropic compression. starting from the same initial conditions of p1 and v1, plot to scale the pv diagrams for both compression processes on the same graph. from the comparison, what can you say about the effectiveness of shock versus isentropic compression? modes of behavior and understanding that are not universal or natural are called:______. carlee has taken an aptitude test which revealed that she is best suited for an occupation that requires analytical skills, working with people, and following a protocol. which of the following occupations is most ideal for carlee? question 3 options: dietitian researcher executive chef accountant How could I compare only the 1st letter of strings in the "names" list with the input? Arrange the following terms into the order in which a compound must pass through to move from plasma to CSF. Drag and drop options into correct order and submit. For keyboard navigation SHOW MORE O Pericyte O Capillary endothelium O Extracellular matrix O Astrocyte Unanswered. FMR ULC, or Fidelity investments, is the holding company for Fidelity.com, a large online investment company. Run by CEO Abby Johnson, Fidelity provides its clients with investment advice, retirement planning, portfolio guidance, and other financial products and services. Fidelity clients include individuals, institutions, and financial intermediaries. As of September 30, 2014, the company was actively managing$1,741billion in mutual funds. Fidelity employees do everything they can to help Fidelity funds grow. In addition, they are committed to education, actively supporting local schools through volunteer work. Although Fidelity is a privately owned firm, held closely by the Johnson family, various Fidelity funds use boards of trustees to help supervise management activities. These boards are generally comprised of senior-level executives from Fidelity and other organizations Who have the wisdom to help Fidelity managers run their companies effectively, In 2015 , Fideliny had approximately 41,000 workars. Dr. wagner is investigating a newly discovered, disease-causing agent. she determines that one structure in the agent is double-stranded rna. what kind of agent is dr. wagner studying? The official religion of Argentina is Christianity. If Jesus of Nazareth lived in Jerusalem, close to the Mediterranean Sea, how did Christianity MOST likely make its way to Argentina?Group of answer choicesThe last Roman emperor took it to Argentina when he fled Rome.Argentina was settled by Jewish refugees from Jerusalem.European missionaries took Christianity to Argentina when it was colonized.Argentinians were taught Christianity by Paul of Tarsus. Lauren and Aidan left their offices at 6:15 P.M. and drove to meet at a restaurant the samedistance away from their offices for dinner. Lauren drove at a constant speed of 39 milesper hour. Aidan drove at a constant speed of 42 miles per hour. Aidan reached the restaurantaway was Lauren from the restaurant when Aidan reached?at 6:35 P.M. How far away 2. Economic systemsa. Do not depend on limited natural resourcesb. Rarely balance the costs and benefits of everyactionc. Should not include the costs of pollution with thecosts of an actiond. Must operate within the environment Trigonometry question recall that your chambers had a set amount of co2 entering each chamber and then you measured how much co2 was exiting the chamber. suppose you conducted your experiment and discovered one of your chambers had a lower in-flow of air relative to the other chambers. what would this do to your data in that chamber?It would not change the results. It would bias the results toward more respiration. It would bias the results toward less photosynthesis. It would bias the results toward more photosynthesis. how many ml of 0.656 m hno3 are needed to dissolve 6.31 g of baco3? 2hno3(aq) baco3(s) ba(no3)2(aq) h2o(l) co2(g) A 523 N force is applied to an object, causing it to accelerate 12 m/s2. The mass of the object is ____. Examine the right triangle below, solve for x, round to two decimal places ifnecessary. Place the labels in order denoting the flow of blood through the structures of the heart beginning with the vena cavae Systemic capillaries Ascending aorta1 8 15 Bicuspid valve (mitral) Pulmonary valve 2 9 6 Superior vena cavae Pulmonary artery 3 10 L. subclavian artery Right ventricle Aortic valve Left ventricle 4 Pulmonary trunk Lungs 5 Tricuspid valve Left atrium 13 Right atrium Coronary arteries Pulmonary vein Question 1Identify the function type represented by the graph. Explain your reasoning, and include at least one key feature tosupport your choice. if you are outside in the cold, your body temperature may drop causing you to shiver. this is an example of Emma is writing a customer survey for a new diet pill that her company has just released. As she is working on thesurvey questions, she is including questions that ask about how colorful and creative the product's packaging is andhow enticing it is for the customer to pick that product. This type of survey question BEST describes what researchlimitation? need help asap. pls somebody help.