A scale on a blue print drawing of a house shows that 6 centimeters represents 3 meters.
What number of centimeters on the blue print represents an actual distance of 27 meters?

Answers

Answer 1

The number of centimeters on the blue print is 54 cm.

Given the scale of the drawing of a blue house shows that 6 cm is 3 meters.

The plan says  6 cm is 3 meters. The equation can be written, like this:

6cm = 3m

However, it's not useful for a conversion, so it's better to write it as a ratio, like this:

6cm/ 3m or 3m / 6cm

This as a conversion, take the given number  and multiply it by the appropriate conversion factor. The key to choosing the right one is to think about which units need to be destroyed and how to achieve this. In this problem we are given 27 meters and we want to know it will be  centimeters on the scale. So we have to choose a conversion factor that will remove meters and leave us with centimeters. If in doubt, identify a possible problem and test the units.

Example: 27m × (3m / 6cm)

It is clear that in this form the counters will not be cancelled.

So instead we try:

27m × (6cm / 3m) = 162cm / 3 = 54cm

So the number of centimeters on the blue  represents the actual distance of 27 meters when the scale on the figure shows a house The blue color shows that 6 cm represents 3 meters or 54 cm.

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Related Questions

Find f(-3) if f (x) =|x+5|

Answers

Answer:

the answer is two because the absolute value delete the negative in result not in question

Two brothers, Rick and Charles, each inherit $38000. Rick invests his inheritance in a savings account with an annual return of 1.7%, while Charles invests his inheritance in a CD paying 5.4% annually. How much more money than Rick does Charles have after 1 year?

Answers

Answer:

Rick will have in interest 646.00 for a total of 38646. Charles will have 2052.00 interest for a total of 40052. Charles has a total of 1406.00 more than Rick.

Complete the coordinate proof of the theorem.


The coordinates of parallelogram ABCD are A (0, 0), B (a, 0), C ( , ), and D (0, b).

The coordinates of the midpoint of AC¯¯¯¯¯ are ( , b2).

The coordinates of the midpoint of BD¯¯¯¯¯ are (a2, ).

The midpoints of the diagonals have the same coordinates.

Therefore, AC¯¯¯¯¯ and BD¯¯¯¯¯ bisect each other.

Answers

From the given coordinates, we can say that the Midpoint of AC = a/2, b/2 and the Midpoint of BD = a/2, b/2

Since the midpoints of the diagonals have the same coordinates, then we can conclude that AC and BD bisect each other.

What is the coordinate of the midpoint?

From the given image, we see that the coordinates of parallelogram ABCD are;

A (0, 0)

B (a, 0)

C (a , b)

D (0, b)

Thus;

1) The coordinates of the midpoint of AC are;

Midpoint of AC = (0 + a)/2, (0 + b)/2

Midpoint of AC = a/2, b/2

2) The coordinates of the midpoint of BD are;

Midpoint of BD = (a + 0)/2, (0 + b)/2

Midpoint of BD = a/2, b/2

Since the midpoints of the diagonals have the same coordinates, then we can conclude that AC and BD bisect each other.

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Sienna May John is working a part time job during summer break. The job pays $12 per hour with a $250 signing bonus. John hopes to make $2950 before the fall so he uses the following equation 12t 250 2950 C where t is the number of hours worked, to determine how many hours he must work to reach his goal. How many hours must John work to reach his goal? If John works 25 hours a week, how many weeks will it take to reach his goal?​

Answers

According to the linear equation, He takes 9 weeks will it take to reach his goal.

According to the statement

We have to find that the weeks will it take to reach his goal.

So, For this purpose, we know that the

The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.

From the given information:

The job pays $12 per hour with a $250 signing bonus. John hopes to make $2950 before the fall so he uses the following equation 12t+ 250 = 2950

Then

The given equation is:

12t+ 250 = 2950

12t = 2950 -250

12t = 2700

t = 2700/12

t = 225 hours.

And

If John works 25 hours a week

Then

Number of weeks he takes = 225 /25

Number of weeks he takes = 9

So, According to the linear equation, He takes 9 weeks will it take to reach his goal.

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Estimate: 11.72 • 3.01
36
33
48
44

Answers

The value of the product of the two decimal numbers is 35.2772 which is closest to 36 of all the given numbers.

The outcome of multiplication or an expression that specifies factors to be multiplied is a product.

The commutative law of multiplication states that the result is independent of the order in which real or complex numbers are multiplied. The result of a multiplication of matrices or the elements of other associative algebras typically depends on the order of the factors. For instance, matrix multiplication and multiplication in general in other algebras are non-commutative operations.

The two numbers are 11.72 and 3.01

To multiply this two decimal numbers we will use the fraction property.

11.72 can be written as  [tex]\frac{1172}{100}[/tex] and 3.01 can be written as  [tex]\frac{301}{100}[/tex]

So the product of 11.72 and 3.01 is written as

[tex]=\frac{1172}{100}\times\frac{301}{100}\\\\\\=\frac{352772}{10000}[/tex]

= 35.2772

This number in decimal can be estimated to 36 because it is closest to the given options.

Hence the product is approximately 36.

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substitute the given values into the given formula and solve for the unknown variable. If necessary, round to one decimal place.

Answers

The value of the height is 17

what is expression?

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.

Given:

Volume, V = 1/3πr²h

Volume= 1138.8,

π=3.14

r= 8

h= 3V/πr²

h= 3* (1138.8)/3.14* 8*8

h=3416.4/200.96

h=17

Hence, the value of height is 17

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Estimate each product 13.92*2.7???

Answers

Answer

Estimate each product 13.92*2.7

37.584

What is the best estimate of the area of the figure if each square has a side length of 1 mm?
27 square millimeters
36 square millimeters
39 square millimeters
46 square millimeters

Answers

Answer:

  (c)  39 mm²

Step-by-step explanation:

You want to know an estimate of the area of the irregular figure.

Decomposition

The areas of irregular figures are often easily computed by decomposing the figure into shapes whose areas have formulas. Here, we can draw a vertical line from the upper left vertex to divide the figure into a triangle on the left and a trapezoid on the right.

Triangle

The triangle has a base of 3 squares and a height of 6 squares, so an area of ...

  A = 1/2bh = 1/2(3)(6) = 9 . . . . square mm

Trapezoid

The trapezoid has vertical parallel bases of 6 and 7 squares, and a width of 5 squares. Its area is ...

  A = 1/2(b1 +b2)h = 1/2(6 +7)(5) = 65/2 = 32 1/2 . . . . square mm

Total area

Then the total area of the figure shown is ...

  area = triangle area + trapezoid area

  area = 9 mm² +32.5 mm² = 41.5 mm²

The closest estimate of those offered is 39 square mm.

Alan thinks of a number. He squares it, then takes away 5, next multiplies it by 4, takes away 7, divides it by 3 and finally adds 6. His answer is 9. What number did Alan start with?

Answers

Answer: [tex]\pm3[/tex]

Step-by-step explanation:

[tex][(4(x^{2} -5)-7)/3]+6=9[/tex]

[tex]((4x^{2} -20)-7)/3=9-6[/tex]

[tex]4x^{2} -27=3*3[/tex]

[tex]4x^{2} =9+27[/tex]

[tex]x^{2}=36/4=9[/tex]

[tex]x=\sqrt{9} =\pm3[/tex]

[tex]x = 3[/tex]

Find square root of 456 and 5678 up to 2 d.p by using division method.

Answers

Answer:

*HOPE THIS HELPS*

Step-by-step explanation:

Full explanation given in the picture

pleaseeee help meeeee

Answers

Its between B and c but i reckon C

x+y = 3
x-3y = -9
What is the solution (x, y) to the system of equations above?

Answers

Answer:

(0, 3)

[tex]x=0\\y=3[/tex]

Step-by-step explanation:

You can rewrite the first equation as [tex]y=3-x[/tex]. Then, you can substitute into the second equation as follows:

[tex]x-3(3-x)=-9\\x-9+3x=-9\\4x=0\\x=0\\[/tex]

Now, we can substitute this value into the first equation.

[tex]x+y=3\\0+y=3\\y=3[/tex]

Writing this in the form of [tex](x, y)[/tex] will yield [tex](0, 3)[/tex].

Remember when setting this out, align your equal signs and give good mathematical reasoning as shown above.

Hope this helps you!

The following graph represents the results of a​ survey, in which a random sample of adults in a certain country was asked if a certain action was morally wrong in general. Complete parts​ (a) through​ (c) below. A bar graph titled "Opinion Regarding an Action" with a horizontal axis titled "Percentage of respondents" and labeled from 0 to 100 in increments of 10 contains three horizontal bars. The labels and approximate values of the horizontal bars from top to bottom are as follows: Depends on situation, 7; Morally wrong, 18; Morally acceptable, 75. Opinion Regarding an Action 0 20 40 60 80 100 Depends on situation Morally wrong Morally acceptable Percentage of respondents Question content area bottom Part 1 ​(a) What percent of the respondents believe the action is morally​ acceptable? About 75​% of the respondents ​(Round to the nearest whole number as​ needed.) Part 2 ​(b) If there are million adults in the​ country, how many believe that the action is morally​ wrong

Answers

Using proportions, it is found that:

a) 75% of the respondents believe the action is morally​ acceptable.

b) Supposing there are 217 million adults, 39.06 million believe that the action is morally​ wrong.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

In item a, 75 out of 7 + 18 + 75 = 100 adults believe that the action is morally acceptable, hence the percentage is:

75/100 x 100% = 75%

75% of the respondents believe the action is morally​ acceptable.

In item b, we suppose that there are 217 million adults, hence the amount that believe the action is morally wrong is:

0.18 x 217 = 39.06.

Supposing there are 217 million adults, 39.06 million believe that the action is morally​ wrong.

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-4w-2= |6w+20|

W ends up equaling-9 and -11/5 I just need the show the work steps

Answers

the answer is -5 i think but i’m not hundred percent
Question:-

[tex] - 4w - 2 = |6w + 20| [/tex]

Answer:- Steps:- Part 1:-

[tex] - 4w - 2 = |6w + 20| \\ - 4w - 2 = 6w + 20 \\ - 2 - 20 = 6w + 4w \\ - 22 = 10w \\ \frac{ - 22}{10} = w \\ \frac{ - { \cancel{22}}^{ \: \: 11} }{ \cancel{10}^{ \: \: \: 5} } = w \\ \frac{ - 11}{5} = w[/tex]

Part2:-

[tex] - 4w - 2 = |6w + 20| \\ - 4w - 2 = | - (6w + 20)| \\ - 4w - 2 = - 6w - 20 \\ 6w - 4w = - 20 + 2 \\ 2w = - 18 \\ w = \frac{ - 18}{2} \\ w = \frac{ - \cancel{18}^{ \: \: 9} }{ \cancel2} \\ w = - 9[/tex]

3x-1=2x-3+3x
Solve for x

Answers

Step-by-step explanation:

MAR ME AS A BRAINLIST

THANKS

draW AND LABEL A FIGURE THAT HAS ATLEAST 2 LINES , 2 RAYS

Answers

The figure with 2 lines and 2 rays is drawn and labeled and can be seen in the attached picture.

In the question, we are asked to draw and label a figure that has at least 2 lines and 2 rays.

First, we need to note three things:

Line: A line is a collection of points that continues endlessly in two opposing directions. Arrows at both ends are used to imply that it goes on indefinitely.Line Segment: An element of a line with a start point and an endpoint is called a line segment. It has two terminals that serve as indicators of its length.Ray: A ray is a segment of a line with an undefined endpoint but a start point. It has a single starting point with an arrow at the other end, indicating that it continues in that direction indefinitely.

Now, we are asked to make a figure with 2 lines (that is, two endless collections of points) and 2 rays (that is, a part of the line with a fixed start point, but no end point).

This can be shown in the attached figure.

In the figure, AB and CD are the two lines, and PQ and XY are the two rays.

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Solve equation by factoring.

2x^2=10x

Answers

Answer:

x = 0, x = 5

Step-by-step explanation:

2x² = 10x ( subtract 10x from both sides )

2x² - 10x = 0 ← factor out 2x from each term on the left side

2x(x - 5) = 0

equate each factor to zero and solve for x

2x = 0 ⇒ x = 0

x - 5 = 0 ⇒ x = 5

Give 2 example of number problems and try to solve either trial and error or a Quadratic System, show your solution

Answers

The examples of error and trial method and quadratic system are shows below.

Number problems and try to solve either trial and error or a Quadratic System

Trial and error is a fundamental method of Problem solving. It is characterized by repeated, varied attempts which are continued until success, or until the agent stops trying. Until getting the right answer the problem is repeating through various steps. This type of problem solving is called trial and error method.

A linear quadratic system is a system containing one linear equation and one quadratic equation (which is generally one straight line and one parabola). A simple linear system contains two linear equations (which is two straight lines).

ERROR AND TRIAL METHOD

Question: 44 people live in eight houses (3 on each side of the Albert Square). Each house has a different number of people living in it. Each line of three houses has 15 people living in it. How many people live in each house?

Solution: Simplifying, we have to get 4 sets of numbers, each of which add up to 15. So start guessing.

The average number of people in a house is 44/8 is roughly 4.5. So what numbers should we take? 2, 3, 4, 5, 6, 7, 8, 9. Now, we should also have an average close to 5 for each set. Let's start:

Set 1: 3, 5, 7

Set 3: 2, 4, 9

Now, the other two sets will have an overlap. So let's guess the overlaps:

Set 2: Overlaps are 2 and 7. So the third number will be 6. Because we have not used 6 yet.

Set 4: Overlaps are 3 and 9. Then the third number ends up to 3 again. Wrong guess! So we need to try again. Overlaps are 3 and 4. In this case third number works out to be 8, which we have not used. So here is the answer

The first row: 2,6,7.

Second row: 4,8,3.

First column : 2,9,4.

Second column: 7,5,3.

QUADRATIC SYSTEM:

Find the points of intersection between the line y=2x+1  and the parabola y=x2−2.

Substitute 2x+1  for y in y=x2−2.

2x+1=x2−2

Write the quadratic equation in standard form.

2x+1−2x−1=x2−2−2x−10=x2−2x−3

Use the quadratic formula to find the roots of the quadratic equation.

Here, a=1,  b=−2,  and c=−3.

x=−(−2) ± (−2)2 − 4(1)(−3)√2(1)=2 ± 4 + 12√2=2 ± 42=3,  −1

Substitute the x-values in the linear equation to find the corresponding y-values.

x=3⇒y=2(3)+1

 =7x=−1⇒y=2(−1)+1      =−1

Therefore, the points of intersection are (3,7)  and (−1,−1).

Graph the parabola and the straight line on a coordinate plane.

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Tony rounded each of the numbers and to the nearest hundred. Which choice correctly compares the rounded numbers?






Tony rounded each of the numbers and to the nearest hundred. Which choice correctly compares the rounded numbers?




Tony rounded each of the numbers 1183 and1145 to the nearest hundred. Which choice correctly compares the rounded numbers?

Answers

The rounded numbers are   1200 and 1100

The two numbers that we have been given are 1183 and 1145.

We have been asked to round of each number to the nearest hundred.

Note that when we are rounding of number to the nearest hundred then we have to check the tens place.

If it is greater than or equal to 5 then we will increase the hundred place number by 1

And if it is less than 5 then we will not change anything in the hundreds place.

And after the required changes in the hundred place number, the numbers after that will convert into zero.

Therefore,  

1183 is rounded of to = 1200 as 8 which is in the tens place is greater than 5, we will add 1 to 1 in the hundreds place

1145 is rounded of to = 1100 as 4 is less than 5, 1 will not change

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Yana is in the school computer lab writing a paper for history class. The graph represents the number of words Yana has written after a number of minutes

Answers

Yana opened her saved paper, wrote, took a break, deleted some of the words, and then began writing again. Then the correct option is A.

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

Yana is in the school computer lab writing a paper for history class. The graph represents the number of words Yana has written after a number of minutes.

The graph is given below.

From the graph, Yana opened her saved paper, wrote, took a break, deleted some of the words, and then began writing again.

Then the correct option is A.

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19% of 288 estimated + rounding

Answers

Answer:

54.7

Step-by-step explanation:

19% of 288

0.19 * 288 = 54.72

54.72 = 54.7

Answer:

Estimated 60 and rounded 55 and normal 54.72.

Step-by-step explanation:

To get the estimated answer, first convert the percentage to a decimal: 19% = 0.19. Second, you have to round the 2 numbers so they are easier to multiply: 0.19 = 0.20 and 288 = 300. Now that you have the 2 rounded numbers, you can multiply them to get the estimated answer: 0.20 x 300 = 60 so 60 is your estimated answer.

To get the rounded answer, you first have to multiply the 2 given numbers, the whole number and the percentage (as a decimal), together: 0.19 = 54.72. Now that you have the answer to the multiplication problem, you can round the answer to the nearest whole number: 54.72 = 55 so the rounded answer is 55.

To get the exact answer, all you have to do is multiply the percentage (as a decimal), by the whole number to get the answer: 0.19 x 288 is 54.72 so the exact answer is 54.72.

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You have a gift card for your favorite clothing store for the amount of $60. You found a shirt you want to buy that costs $15. If you don't want to spend more than the amount of the gift card, which of the following inequalities could be used to determine the amount you have left to spend?

Answers

The inequalities could be used to determine the amount you have left to spend will be 60 - 15.

How to calculate the inequality?

From the information, the person have a gift card for your favorite clothing store for the amount of $60 and found a shirt you want to buy that costs $15.

The inequalities could be used to determine the amount you have left to spend will be:

= Total amount - Shirt

= 60 - 15

Therefore, inequalities could be used to determine the amount you have left to spend will be 60 - 15.

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Using each of the digits 3, 5, 7, 9 in two fractions exactly once in an expression of a sum, what is the larger of the two common fractions that would give a sum between 0.75 and 1?

Answers

The two fractions that will give a sum between 0.75 and 1 are 3/7 + 5/9 and the larger fraction is 5/9

How to add fractions?

We want to find two fractions using the digits 3, 5, 7 and 9 to find the one that gives a sum between 0.75 and 1.

Since it has to be a sum between 0.75 and 1, it means that the denominator must be greater than the numerator. Thus, let us try as follows;

3/5 + 7/9

Factorize out 45 to get;

¹/₄₅((3 * 9) + (7 *5))

= ¹/₄₅(27 + 35)

= ¹/₄₅(52)

This will not work because it will lead to a sum greater than 1

Let us try another one;

3/7 + 5/9

Factorize out 63 to get;

¹/₆₃((3 * 9) + (5 *7))

= ¹/₆₃(27 + 35)

= 52/63

= 0.8254

Thus, the two fractions that will give a sum between 0.75 and 1 are 3/7 + 5/9 and the larger fraction is 5/9

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Shadows. If a tree casts a 35-foot shadow at the same
time as a man 6 feet tall casts a 5-foot shadow, how tall is
the tree? [Section 9.5]

Answers

you going to need to drawing a picture


In certain deep parts of oceans, the pressure of sea water, P, in pounds per square foot, at a depth of d feet
below the surface, is given by the following equation:
P = 13+
5d
13
< >
If a scientific team uses special equipment to measures the pressure under water and finds it to be 308 pounds
per square foot, at what depth is the team making their measurements?

Answers

Answer: Depth d = 767 feet.

Step-by-step explanation:

In certain deep parts of oceans, the pressure of sea water, P, in pounds per square foot, at a depth of D feet below the surface, is given by the following equation:

                               P= 13+ 5d/13

If a scientific team uses special equipment to measures the pressure under water and finds it to be 308 pounds per square foot, at what depth is the team making their measurements?

Given data,

The relationship between the pressure, p of sea water in certain deep parts of oceans is and the distance, d below the surface is given by the following equation,

                                 P= 13+ 5d/13

Where,

p is in pounds per square foot.

d is in feet

The pressure of seawater is 308 pounds per square foot at a depth

                             308 = 13+ 5d/13           (eq-1)

                             308 - 13 = 5d/13

Cross multiplying, it becomes                            

                             295 = 5d/13

                             295 * 13 = 5d

                              3,835 = 5d

                               3,835/5 = d

                                d = 767 feet

At a depth of 308 feet below the surface of the water, the pressure of seawater is,

Substitute d value in equation 1,

So, we can write,

                              P= 13+ 5d/13

                              P = 13+ 5 (767) /13

                              P = 13 + 3835/13

                              P = 13 + 295

                              P = 308 pounds per square foot.

Therefore,

                        Depth d = 767 feet.

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The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion
s = 5 sin(t) + 5 cos(t),
where t is measured in seconds. (Round your answers to two decimal places.)
(a) Find the average velocity during each time period.

(1)[1,2]? cm/s
(2)[1,1.1]? cm/s
(3)[1,.101]? cm/s
(4)[1,1.001]? cm/s
(b) estimate the instantaneous velocity of the particle when t = 1? cm/s

Answers

a) the average velocity during each time period.

(1) 4.87 cm/s(2) 4.90 cm/s(3) 4.95 cm/s(4)  4.91 cm/s

(b) 0.08 cm/s is the instantaneous velocity of the particle when t = 1.

Step-by-step explanation:

Given that

the equation of motion

                s = 5 sin(t) + 5 cos(t),

To find

a) The average velocity during each time period.

                (1)[1,2]? cm/s

                (2)[1,1.1]? cm/s

                (3)[1,.101]? cm/s

                (4)[1,1.001]? cm/s

b) The instantaneous velocity of the particle when t = 1? cm/s

So, according to the question

a) The average velocity during each time period.

                (1)[1,2]? cm/s

                (2)[1,1.1]? cm/s

                (3)[1,.101]? cm/s

                (4)[1,1.001]? cm/s

We have the displacement equation at time t :

                s = 5 sin(t) + 5 cos(t)

Now differentiate it by t to get velocity.

               v(t) =  ds/dt

                     [tex]= \frac{d}{dt} (5sint+5cost)\\= 5(\frac{d}{dt} sint+\frac{d}{dt}cost)\\\\[/tex]

              v(t)  [tex]= 5( cost - sint)[/tex]    

velocity at t = 1,

               v(1) = 5 { cos(1)- sin(1) }    = 5( 0.99-0.017) = 5 x 0.982 = 4.91 cm/s        

velocity at t = 2,

               v(2) = 5 { cos(2)- sin(2) }    = 5( 0.999 - 0.0348)  = 4.82 cm/s  

velocity at t = 1.1,

               v(1.1) = 5 { cos(1.1)- sin(1.1) }    = 5( 0.999 - 0.0191)  = 4.90 cm/s  

velocity at t = 0.101,

          v(0.101) = 5 { cos(0.101)- sin(0.101) } = 5( 0.999 - 0.0176)  = 4.99 cm/s

velocity at t = 1.001,

         v(1.001) = 5 { cos(1.001)- sin(1.001) } = 5( 0.999 - 0.0174)  = 4.911 cm/s    

Now,

The average velocity at [1,2]

          = (4.91+4.82)/2 = 4.87 cm/s

The average velocity at [1,1.1]

          = (4.91+4.90)/2 = 4.90 cm/s

The average velocity at [1,0.101]

          = (4.91+4.99)/2 = 4.95 cm/s

The average velocity at [1,1.001]

          = (4.91+4.911)/2 = 4.91 cm/s

b) instantaneous velocity at 1s.

        instantaneous velocity[tex]= \frac{instantaneous\; displacement }{instantaneous\; time}[/tex]

                                   v(1) = [tex]\frac{s(1)-s(0)}{1-0}[/tex]

  s(1) = 5 {sin(1) + cos(1)} = 5 (0.017 + 0.999) = 5.08 cm

  s(0) = 5 {sin(0) + cos(0)} = 5 (0 + 1) = 5.0 cm

Now, putting the all values

                v(1) = (5.08 - 5.0)/1 = 0.08 cm/s

Answer:

   a) the average velocity during each time period.

(1) 4.87 cm/s(2) 4.90 cm/s(3) 4.95 cm/s(4)  4.91 cm/s

  (b) 0.08 cm/s is the instantaneous velocity of the particle when t = 1.

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For the word problems below, you MUST show work to earn full credit
(a.) Hailey's plane took 90 seconds to climb 4,500 feet.

(i)What is the speed of her plane in feet per
second?

(ii) How high was the plane at 35 seconds?

Answers

Answer:

(i) 50 ft/s

(ii) 1750 ft

Step-by-step explanation:

(i)

The vertical speed is:

4500 ft / 90 seconds = 50 ft/s

(ii)

50 ft/s × 35 s = 1750 ft

The eighth-grade math class keeps a flower garden in the front of the building. The garden is in the
shape of a right triangle. The two smaller sides measure 9 feet and 12 feet. The class wants to install a
3-foot-high picket fence around the garden to keep students from stepping onto the flowers. The picket
fence they need costs $5 per foot. How much will the fence cost? Do not calculate sales tax. Show your
work and justify your solution.

Answers

Answer: $180

Step-by-step explanation:

a right triangle has three sides: the two smaller ones and the big one. the two smaller ones squared add up to the bigger one squared.

this is the pythagorean theorem, a^2 + b^2 = c^2.

in this case, it would be 9 squared + 12 squared = c squared.

81 + 144 = 225

225 is the square of 15, so the third side is 15.

now, solve for the perimeter.

the perimeter is the 3 sides added up, so 9+12+15 = 36 feet of perimeter.

each foot costs $5, so 36x5= 180.

$180 is the answer.

show how to rewrite multiplication problem 24 x 6

Answers

Answer:

144

Step-by-step explanation:

24x6

24 6 times

24 + 24 + 24 + 24 + 24 + 24 = 144

i hopw this helped

if it did pls mark brainliest!

Value of sin if csc=13/9 and 0° < theta < 90°

Answers

Answer: 9/13 ==> A

Step-by-step explanation:

sin is between 0 and 1 if 0° < theta < 180° ==> sin is positive when y is positive

sin is between -1 and 0 is 180° < theta < 360° ==> sin is negative when y is negative

sin theta * csc theta = 1

sin theta * 13/9=1

sin theta * 13/9 * 9/13 = 1 * 9/13

sin theta = 9/13 ==> A

Yep their right The answer is A :)
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