Hi, could you help me with this substitution question?
I'd really appreciate if you added workings out as I'm terribly confused.
Thanks,

Hi, Could You Help Me With This Substitution Question?I'd Really Appreciate If You Added Workings Out

Answers

Answer 1

Answer:

[tex]-\dfrac{69}{14}[/tex]

Step-by-step explanation:

Substitute the given values of the variables into the given expression:

[tex]\implies \dfrac{60 \left(\dfrac{1}{3}\right)\left(-\dfrac{1}{5}\right)\left(\dfrac{1}{4}\right)\left(\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{4}\right)}{\left(\dfrac{1}{3}-\dfrac{1}{5}\right)\left(\dfrac{1}{3}+\dfrac{1}{4}\right)}[/tex]

When multiplying fractions, simply multiply the numerators and the denominators:

[tex]\implies \dfrac{60 \left(\dfrac{1 \cdot -1 \cdot 1}{3\cdot 5 \cdot 4}\right)\left(\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{4}\right)}{\left(\dfrac{1}{3}-\dfrac{1}{5}\right)\left(\dfrac{1}{3}+\dfrac{1}{4}\right)}[/tex]

[tex]\implies \dfrac{60 \left(-\dfrac{1}{60}\right)\left(\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{4}\right)}{\left(\dfrac{1}{3}-\dfrac{1}{5}\right)\left(\dfrac{1}{3}+\dfrac{1}{4}\right)}[/tex]

[tex]\implies \dfrac{\left(-1\right)\left(\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{4}\right)}{\left(\dfrac{1}{3}-\dfrac{1}{5}\right)\left(\dfrac{1}{3}+\dfrac{1}{4}\right)}[/tex]

When adding or subtracting fractions, make the denominators the same:

[tex]\implies \dfrac{\left(-1\right)\left(\dfrac{20}{60}-\dfrac{12}{60}+\dfrac{15}{60}\right)}{\left(\dfrac{5}{15}-\dfrac{3}{15}\right)\left(\dfrac{4}{12}+\dfrac{3}{12}\right)}[/tex]

Now add the numerators and put that over the denominator:

[tex]\implies \dfrac{\left(-1\right)\left(\dfrac{20-12+15}{60}\right)}{\left(\dfrac{5-3}{15}\right)\left(\dfrac{4+3}{12}\right)}[/tex]

[tex]\implies \dfrac{\left(-1\right)\left(\dfrac{23}{60}\right)}{\left(\dfrac{2}{15}\right)\left(\dfrac{7}{12}\right)}[/tex]

Again, multiply the fractions:

[tex]\implies \dfrac{\left(-1 \cdot \dfrac{23}{60}\right)}{\left(\dfrac{2 \cdot 7}{15 \cdot 12}\right)}[/tex]

[tex]\implies \dfrac{-\dfrac{23}{60}}{\dfrac{14}{180}}[/tex]

To divide the fractions, turn the second fraction upside down, then multiply it by the first fraction:

[tex]\implies -\dfrac{23}{60} \cdot \dfrac{180}{14}[/tex]

[tex]\implies -\dfrac{4140}{840}[/tex]

Finally, simplify:

[tex]\implies -\dfrac{4140 \div 60}{840 \div 60}[/tex]

[tex]\implies -\dfrac{69}{14}[/tex]


Related Questions

(x+2)^2-3 evaluate and simplify the equation

Answers

Answer:

[tex](x^{2} +2)-3\\x^{2} +2-3\\x^{2} -1\\(x+1)(x-1)[/tex]

Answer:

x^2+4x+1

Step-by-step explanation:

(x+2)^2-3

(x+2)(x+2)-3

x^2+2x+2x+4-3

x^2+4x+4-3

x^2+4x+1

Hi can someone assist me with this question and help me solve it?

Answers

Answer:

40°

Step-by-step explanation:

Given l \\ m,

m∠13 = m∠7 (alternate interior angles)

m∠13+m∠15 = 180° (Sum of angles in a straight line)

[tex]6x+4+(14x-4)=180\\6x+4+14x-4=180\\20x=180\\x=\frac{180}{20} \\=9\\\\[/tex]

Substitute x to find m∠13

m∠13= 6x+4 = 6(9)+4 = 36 + 4 = 40°

Estimate the original volume of the pyramid in Fig. 15.28, given that its frustum has a 4 m by 4 m square top which is 12 m vertically above the square base which is 20 m by 20m.

Answers

The volume of the pyramid is 2496 cu.m.

What is a Pyramid ?

A pyramid is a three dimensional structure which has a polygon base and  in general triangular faces which join at the top .

It is given that

A pyramid [tex]\rm frustum[/tex] has a 4 m by 4 m square top

Height = 12 m

Base = 20 m

The volume of a square pyramid with a  [tex]\rm frustum[/tex] is given by

V = (1/2) * ( Area of base + Area of  [tex]\rm frustum[/tex] ) * height of the  [tex]\rm frustum[/tex] from the base

V = 0.5 * ( 20 *20 + 4*4 ) * 12

V = 2496 cu.m

The volume of the pyramid is 2496 cu.m.

To know more about Pyramid

https://brainly.com/question/13057463

#SPJ1

1/4+1/10 Add or subtract. Write the answer in simplest form.

Answers

Answer:

7/20

Step-by-step explanation:

To add fractions, the first step is to get a common denominator

1/4 + 1/10

The common denominator is 20

1/4 *5/5 = 5/20

1/10 *2/2 = 2/20

5/20 + 2/20 = 7/20

Use the expression 8a+16c
What is the value of the expression when a = –5 and c = –1?

Answers

Answer:

i think its 8(a+2c)

Step-by-step explanation:

The GCF or greatest common factor of 8 and 16 is 8.

8a+16c

8(a+2c)

Therefore the answer is 8(a+2c)

Help please this is stressing me out.

Answers

Step-by-step explanation:

As far as I understand, they can use all 26 letters (alphabet) and all 10 digits (0, 1, ..., 9), and the password looks like this:

letter-letter-letter-letter-letter-letter-number-number (6 letters, 2 numbers).

▪︎ They can reuse the letters, so they can choose the 1st letter out of 26 possible letters, then they still can choose the 2nd letter out of 26 (it's ok if they have both A's for example, they can reuse them) and so on. So each time they can choose one letter out of 26. Thus, it's 26*26*26*26*26*26.

▪︎ The same thing with numbers. Each time they can choose one number out of 10, so it's 10*10.

▪︎ Therefore, the answer is 26*26*26*26*26*26*10*10 = 30,891,577,600. That's almost 31 billion passwords.

Mila is designing a necklace with 12 platinum spherical beads that each have a radius of 7 millimeters. she has 350 grams of platinum to use. if pure platinum has a mass of 21.5 grams per cubic centimeter, does she have enough to make the 12 spherical beads? explain how you found your answer.

Answers

Volume is a three-dimensional scalar quantity. Mila only has 350 grams of platinum, therefore, she does not have enough platinum to make a necklace.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of 12 bead = 12 × (4/3) × π × R³

                                        = 12 × (4/3) × π × (0.7)³

                                        = 17.241 cm³

Given the density of platinum as 21.5 grams per cubic centimeter, therefore,

Mass = density × Volume = 370.682

Since Mila only has 350 grams of platinum, therefore, she does not have enough platinum to make a necklace.

Learn more about Volume:

https://brainly.com/question/13338592

#SPJ1

25.
A ladder stands against a wall at an angle of 45° to the floor. The foot of the ladder is 3 m
from the wall. If the ladder slides 1 m down the wall, then the angle between the ladder
and the floor is such that:

Answers

Using the slope concept, it is found that the angle between the ladder and the floor will be of 33.69º.

What is a slope?

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem, we have that:

The angle is of 45º.The vertical distance is the height of h.The horizontal distance is of 3m.

Hence:

tan(45º) = h/3.

1 = h/3.

h = 3 m.

If the ladder slides 1 m down, the height will be of 2m, hence the angle will be given as follows:

[tex]\tan{\theta} = \frac{2}{3}[/tex]

[tex]\theta = \arctan{\left(\frac{2}{3}\right)}[/tex]

[tex]\theta = 33.69^\circ[/tex]

More can be learned about the slope concept at https://brainly.com/question/18090623

#SPJ1

does this table represent a function? yes or no

Answers

Answer:

D

Step-by-step explanation:

The table does not represent a function because their are two x values with the same y value.

Answer:

C. No, one x --- two different y's

Step-by-step explanation:

In order to be a function, every x can have only one y partnered with it. So if the function is written in this two-column format, if no x's repeat, you can say it is a function. If an x does repeat, it MUST have they same y both times. Here 2 repeats in the x column, but at first it is with 1 and in the next row it is with 4. Can't have that! So this is not a function!

(Btw, it doesn't matter at all the 4 repeats in the y-column nor that it is paired with different x's. Doesn't matter. Not a thing)

i rlly need help with this :(

The air force reports that the distribution of heights of male pilots is approximately normal, with a mean of 72.6 inches and a standard deviation of 2.7 inches.

Part A: A male pilot whose height is 74.2 inches is at what percentile? Mathematically explain your reasoning and justify your work. (5 points)

Part B: Air force fighter jets can accommodate heights of soldiers between 70 inches and 78 inches without compromising safety. Anyone with a height outside that interval cannot fly the fighter jets. Describe what this interval looks like if displayed visually. What percent of male pilots are unable to fly according to this standard? Show your work and mathematically justify your reasoning. (5 points)

Answers

Using the normal distribution, it is found that:

a) The pilot is at the 72th percentile.

b) 19.13% of pilots are unable to fly.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 72.6, \sigma = 2.7[/tex].

Item a:

The percentile is the p-value of Z when X = 74.2, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{74.2 - 72.6}{2.7}[/tex]

Z = 0.59

Z = 0.59 has a p-value of 0.7224.

72th percentile.

Item b:

The proportion that is able to fly is the p-value of Z when X = 78 subtracted by the p-value of Z when X = 70, hence:

X = 78:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{78 - 72.6}{2.7}[/tex]

Z = 2

Z = 2 has a p-value of 0.9772.

X = 70:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{70 - 72.6}{2.7}[/tex]

Z = -0.96

Z = -0.96 has a p-value of 0.1685.

0.9772 - 0.1685 = 0.8087 = 80.87%.

Hence the percentage that is unable to fly is:

100 - 80.87 = 19.13%.

More can be learned about the normal distribution at https://brainly.com/question/4079902

#SPJ1


2. Compare and contrast a function and its inverse. Represent your
answer in a table of values and in a mapping diagram.

Answers

The table of values for the comparison of a function and its inverse function is shown in the image attached below.

What is an inverse function?

An inverse function refers to a type of function that is obtained by reversing the operation of a given function (f(x)).

In Mathematics, a given function (f(x)) and its inverse function has the following property f⁻¹(f(x)) = x. By applying this property to the table (see attachment), we have:

f(-6) = -10f⁻¹(-10) = -6f⁻¹(f(3)) = -9.

Read more on inverse function here: https://brainly.com/question/15635761

#SPJ1

Find the slope of the line whose equation is 3x - 4y = 7.

Answers

Answer:

0.75

Step-by-step explanation:

slope is the coeffecient of x when the equation is in the order yb= mx + b

3x - 4y = 7

-4y = 7 - 3x

4y = 3x - 7

y = (3x - 7) / 4

y = 3x / 4 - 7 / 4

slope = 3/4

What is the distance formula?
OA. √y₂-y₁)2-(x2-x2)2
OB. √(x₂+x1)²-(y₂+y₁)2
OC. √x₂-x₁)+(y₂-y1)
OD. √(x₂-x1)²+(y₂-y₁)2

Answers

Your answer is D.
Will always be x2 and y2 starting off

A packet of low fat vegetable soup has a mass of 70.5 g. find the mass of 50 such packets

Answers

Answer:

300.25

Step-by-step explanation:

The mass of 1 packet of low fat vegetable soup is 70.5g, the mass of 50 packets is 300.25g(70.5x50).

The mass of 50 low-fat vegetable soups has a mass equal to 300.25 g.

Given : The mass of 1 packet of low-fat vegetable soup is 70.5g

To find: The mass of 50 such packets

Concept: In mathematics, a product is the result of multiplication, or an expression that identifies factors to be multiplied. For example, 30 is the product of 6 and 5

The mass of 50 such packets is 70.5x50 i.e., mass of 1 pkt* number of packets given which is given to be 70.5 and 50 respectively

= 300.25 g.

For more information about multiplication, visit https://brainly.com/question/10873737

#SPJ4

A box is to be constructed with a rectangular base and a height of 5 cm. If the rectangular base must have a perimeter of 28 cm, which quadratic equation best models the volume of the box?.

Answers

Answer:

Volume = 7WH - (1/2)W^2H

Step-by-step explanation:

The base consists of the length (L) and the width (W).  It is rectangular, so the perimeter would be the sum of all four sides:

Perimeter = L + W + L +W,

or      Perimeter = 2L + 2W

We are told that 2L + 2W = 28cm     [The perimeter is 28 cm]

------

The volume of the box is given by:  

Volume = L*W*H     [Length x Width x Height]

=====

Let's rearrange the first equation and use it in the second:

2L + 2W = 28cm

2L = 28cm - 2W

L = (28cm - 2W)/2

L = (14 - W)

Now use this definition of L (14 - W) in the second equation:

Volume = L*W*H

Volume = (14 - W)/2)*W*H

Volume = (7-(1/2)W)*W*H

Volume = 7WH - (1/2)W^2H

This can also be written as:  Volume = WH(7 - (1/2)W)

The number of DVDs in a random person's home collection is counted for a sample population of 80 people. The mean of the sample is 52 movies, the entire population is known to have a standard deviation of 12 movies. Assuming a 99% confidence level, find the margin of error.

A) 59.4671

B) 2.6296

C) 38.6536

D) 3.4547​

Answers

In a case whereby the number of DVDs in a random person's home collection is counted for a sample population of 80 people the mean of the sample is 52 movies, the entire population is known to have a standard deviation of 12 movies then the margin of error is 3.46 moves.

How can the the margin of error be calculated?

The concept that will be used here is the formular to find the error

E=z∝/2 σ/√ n

n= number of the samples= 80

σ = standard deviation = 12 moves

confidence level = (1-∝) = (1- 0.99) = 0.001

σ/2 = 0.005

Then the looking up for Z value of Z(0.005) = 2.58

E= 2.58 *12/√80

= 3.46 moves.

Therefore, option D is correct.

Learn more about standard deviation at:

https://brainly.com/question/24298037

#SPJ1

Could someone explain why the value of x is (-2).​

Answers

Answer:

x = -2

Step-by-step explanation:

2x^3 +16 = 0

We are solving for x

Subtract 16 from each side

2x^3 +16- 16 = 0-16

2x^3 = -16

Divide each side by 2

(2x^3 ) /2 = -16/2

x^3 = -8

Take the cube root of each side

[tex]\sqrt[3]{x^3} = \sqrt[3]{-8}[/tex]

x = -2

Answer:

[tex]x=-2[/tex]

Step-by-step explanation:

Given equation:

[tex]2x^3+16=0[/tex]

To solve for the unknown variable x, apply arithmetic operations to isolate the variable.

Subtract 16 from both sides:

[tex]\implies 2x^3+16-16=0-16[/tex]

[tex]\implies 2x^3=-16[/tex]

Divide both sides by 2:

[tex]\implies \dfrac{2x^3}{2}=\dfrac{-16}{2}[/tex]

[tex]\implies x^3=-8[/tex]

Take the cube root of both sides:

[tex]\implies \sqrt[3]{x^3}=\sqrt[3]{-8}[/tex]

[tex]\implies x=-2[/tex]

When taking the cube root of a negative number, the result will be negative.  To understand why, examine what happens when we cube a negative number.

When a number is cubed, it is multiplied by itself, then by itself again.

When multiplying a negative number by another negative number, the result is always positive.

When multiplying a positive number by a negative number, the result is always negative.

Therefore:

[tex]\begin{aligned}\implies (-2)^3 &= -2 \cdot -2 \cdot -2\\ & = 4 \cdot -2\\& = -8\end{aligned}[/tex]

So if -8 is cube rooted, the result is -2.

Andy fed his dog about 16kilogram of food in one week. he fed his cat about 2 kilogram of food in one week what is the best estimate for the total amount of food he feeds his dog and cat in2 weeks. each animal represent 4 kilogram of food

Answers

Answer:

36kg

Step-by-step explanation:

The dog eats 16kg per week, which is 32kg in 2 weeks

The cat eats 2kg per week, which is 4kg in 2 weeks

32+4=36

Select the correct answer from each drop-down menu. one person working alone will take 30 days to paint an apartment. if d represents the number of days taken to complete the work and p represents the number of people working, the equation that represents this situation is . if 10 people work on this job, they take days to complete it.

Answers

It took 3 days to complete a work by 10 people.

         

What is Efficiency?

The efficiency is the output of the work which we divide by the work input and then express it in a percentage form.

Here, Efficiency of 1 person to complete a piece of work in 30 days is 1/30.

The number of days to complete the work = n days

Number of person to complete the work = p.

Now, according to question

Number of days to complete the work by 10 people = 30 / 10

                                                                                      = 3 days.

Thus, it took 3 days to complete a work by 10 people.

                                                                                       

Learn more about Efficiency from:

https://brainly.com/question/13828557

#SPJ1

Hey I need help on this question. Could I have a simple explaination as I find it difficult to understand things

Answers

Answer:

9

Step-by-step explanation:

The surface, in this case, describes the number of squares that are painted. On the left hand side, we have a cube, so we know we're going to have 6 faces. And each face on the cube has 9 little squares, they can be counted on the diagram. So, the total number of squares that are painted on the left cube = [tex]9 * 6 = 54[/tex]

The star means multiplication.

We are told in the question that it takes 9 litres of paint to cover the surface of the left hand cube, meaning it takes 9 litres of paint to cover 54 squares.

This can be written in the ratio = [tex]9:54[/tex]

If we divide both sides of the ratio by 9, we can figure out the amount of squares that 1 litre of paint covers, [tex]1:6[/tex].

The ratio tells us that 1 litre of paint covers 6 squares.

Let's look at the shape on the right. It is still a cube, however, some segments have been removed. Some faces still remain the same as in the shape on the left, such as the bottom face, the back face and the face to the left. Those faces may not be so apparent on the diagram, however, they exist. So we have to count them.

The number of small squares on these faces = [tex]9 * 3=27[/tex]

If you look on the inside of the cube, which can be seen on the diagram, we can see three faces, each having four squares. So, the total number of squares here = [tex]3*4=12[/tex]

Also, we have some squares on the top, and if you count these, there are 5.

This also applies for the front and the right hand side if you count, so we add 10 squares to the total as there are another two lots of five.

So, the total number of squares on the right cube = [tex]27 + 12 + 5 + 5 + 5 = 54[/tex]

Let's bring back the ratio of litres of paint to the number of squares covered: [tex]1:6[/tex]

In the ratio, there are 6 squares per litre. We know that 6 × 9 = 54 (our total). So, we multiply left hand side of the ratio by 9 as well, bringing the total amount of paint required to 9 litres.

I hope this helps.

The surface area of cuboid = [tex]$400 \mathrm{~cm}^{2}$[/tex].

How to estimate the surface area of cuboid?

If the left cube takes 9 liters of paint to cover the surface. Then, also right cube takes 9 liters of paint to cover the surface.

Cuboid dimension [tex]$\frac{10 \mathrm{~cm}}{(l)} \times \frac{10 \mathrm{~cm}}{(b)} \times\frac{5 \mathrm{~cm}}{(h)}$[/tex]

Surface area = 2(lb + lh + bh)

= 2((10 [tex]\times[/tex] 10)+(10 [tex]\times[/tex] 5)+(10 [tex]\times[/tex] 5))

= 2(100+50+50)

= [tex]400 \mathrm{~cm}^{2}[/tex]

Therefore, surface area of cuboid = [tex]$400 \mathrm{~cm}^{2}$[/tex].

To learn more about surface area of cuboid

https://brainly.com/question/26403859

#SPJ2  

Which choice is the most efficient first step to solve this set of
equations?
y=3x-5
2x+6y=20

Answers

Answer:

b) Substitute (3x - 5) for y in the second equation.

Step-by-step explanation:

If using the substitution method, then the second choice is the most efficient first step.

What is the substitution method?

The substitution method can be used to solve a system of equations. It is when you isolate any of the variables from one of the equations and then substitute that value into the other equation.

Here, the first equation already has an isolated variable, y. We can then substitute its value into the second equation. Like so:

⇒ 2x + 6y = 20

⇒ 2x + 6(3x - 5) = 20

Learn more about the substitution method here:

brainly.com/question/27728118
brainly.com/question/26094713

What is the point slope form of an equation of the line through the points (-2, 6) and (3, -2)

Answers

-2-6 = -8/5 (3- -2)

first off, it’s important to know that the formula for point slope form is y-y1=m(x-x1). since you already have both points, you can plug them into the equation to get -2-6=m(3- -2). Next, you must find the slope by using the formula y2-y1/x2-x1. Plug the points in to get -2-6/3–2. Simplify to -8/5, and that’s your slope. Put the slope into the equation to get your final answer of -2-6 = -8/5 (3- -2). Hope this helped!!

How many solutions does this equation have?
17q - 13- 3q = 14g + 14

no solution
one solution
infinitely many solutions

Answers

The equation 17q - 13- 3q = 14q + 14 have no solution option first "No solution" is correct.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The question is incomplete.

The complete question is:

How many solutions does this equation have?

17q - 13- 3q = 14q + 14

no solution

one solution

infinitely many solutions

We have a linear equation:

17q - 13- 3q = 14q + 14

After solving:

14q = 14q + 27

0 ≠ 27 (false)

No solution

Thus, the equation 17q - 13- 3q = 14q + 14 have no solution option first "No solution" is correct.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

Consider this function.
ƒ(=) =-3x + 3
Which graph represents the inverse of function??

Answers

Answer: The first graph

Step-by-step explanation: A graph’s inverse will have all of their roots inverted as well. If you put the graph f(x)= 3x+3 into a graphing calculator, you’ll be able to see all the roots. From there, just invert (switch) the roots. Since on the original graph the most prominent roots are {(0,3), (-1,0),(-2,-3)}, you just need to invert those roots and find them ALL on one of the graphs, then you have your answer. So, the inverted roots will be {(3,0),(0,-1),(-3,-2)}.

Still, I find the simplest thing is to put them into a graphing calc like GeoGebra.

0123456 7 8 9 10 what is this called.........ence.fill in the missing space.​

Answers

Answer:

sequence

Step-by-step explanation:

a sequence is essentially a set [group/list] of numbers, and each number has a specific placement [meaning that there is an order]

hope this helps!!

Answer: this, a set of number in an order, is called a sequence

fill in the blank: sequence

A T-shirt that costs $12 is now on sale for 15% off. What is the sale price of the t-shirt?

Answers

Answer:

$14.18

Step-by-step explanation:

just multiply 12 with 100 for percentage and divide it by 85 because there was 15 percent off and you'll get the answer

What division problem does this area model represent?

Enter your answer in the boxes.

÷ 75 =
R
Rectangle with left side labeled 75. Vertical lines divide the rectangle into three parts. The left part has 40 above it and 3000 inside it. The middle part has 4 above it and 300 inside it. The right part has 53 inside it and nothing above it.

Answers

The division problem that's illustrated based on the information is 3000/75 = 40 without remainder.

How to calculate the rectangle?

A rectangle is defined as a two-dimensional shape having four-sided and opposite sides equal and parallel.

From the information, it was stated that the rectangle with left side labelled 75 and the middle part has 4 above it and 300 inside it.

Therefore, the division problem that's illustrated based on the information is 3000/75 = 40 without remainder.

Learn more about rectangles on:

brainly.com/question/25292087

#SPJ1

In the square pyramid shown below, the slant height is 12 centimeters and the height of the pyramid is 7 centimeters.

To the nearest whole number, find the diagonal length of the base of the pyramid. In your final answer, include your calculations with reasoning for each step.

Answers

The diagonal of the square pyramid will be equal to 33.10 centimetres.

What is diagonal?

The lines which connect the two opposite corners of any quadrilateral are called diagonal. here we have a square pyramid whose slant height and the vertex height are given and we have to find the diagonal length of the base.

Let the side of the square base of the pyramid is "a". Now the side will be calculated by the following relation.

[tex](\dfrac{a}{2})^2[/tex] =  s² - H

[tex](\dfrac{a}{2})^2[/tex]  = 12² - 7 = 137

a²   = 137 x 4  = 548

a  =  √548 = 23.40 cm

Now the diagonal will be calculated by using the Pythagorean theorem

D² = 23.04²  + 23.40²

D² = 548 + 548

D  = √1096

D  = 33.10 centimeter

Therefore the diagonal of the square pyramid will be equal to 33.10 centimetres.

To know more about diagonal follow

https://brainly.com/question/654982

#SPJ1

Two planes that do not intersect are _____ parallel.
sometimes always never

Answers

Two planes that do not intersect are always parallel.

ALWAYS………………………………..

Choose all of the following angles that cannot
be an interior angle in a regular polygon.
24° 72°
72°
135°
135° 164° 179⁰

Answers

In a regular polygon, all interior angles have equal measures because the polygon has congruent sides and angles. The sum of all interior angles in a polygon can be found using the formula:

(n-2) * 180°,

where n represents the number of sides of the polygon.

Based on this, we can determine which angles cannot be interior angles in a regular polygon.

24°: This angle can be an interior angle in a regular polygon because it is smaller than the interior angles of any polygon with more than 6 sides.

72°: This angle can be an interior angle in a regular pentagon (5 sides) or any polygon with more sides, as it satisfies the requirement for interior angles.

135°: This angle cannot be an interior angle in a regular polygon because it is larger than the interior angles of any polygon with less than 8 sides.

164°: This angle cannot be an interior angle in a regular polygon because it is larger than the interior angles of any polygon with less than 9 sides.

179°: This angle cannot be an interior angle in any regular polygon because it is larger than the maximum measure of interior angles in any polygon.

For such more questions on polygon

https://brainly.com/question/29425329

#SPJ8

Other Questions
Select all that apply The four general accounting principles include: (Check all that apply). Multiple select question. going concern measurement expense recognition time period revenue recognition full disclosure business entity what are the efforts made by Nepal for peace Now that you have x - 8x 16 = 9 16, apply the square root property to the equation. Which time period began around 1550 BCE, when Ahmose I reunited Egypt? Suppose y varies directly as x, and y = 160 when x = 4. Find y when x = 6. You toss a coin and roll a number cube. Find P(heads and an even number.) Arrange these elements into a table showing metals and non-metals: phosphorus, P, barium, Ba, vanadium, V. mercury, Hg, krypton, Kr, potassium, K, and uranium, U. f(x) = x+3 f ( x ) = x + 3 Which utility uses the internet control messaging protocol (icmp)? cisco P()P(A)0.40.1P(B)0.20.3 What did the Supreme Court order US schools to do in 1957? Participating providers contract to participate in a BCBS plan preferred provider network (PPN), which is a program that requires providers to adhere to __________ care provisions. a. managed b. hospital c. prospective d. retrospective The CRISPR-Cas9 system can be used to repair a mutant version of a gene in living cells. How does that process occur work out the size of resistance. Repost 8th grade 50 POINTS+BRAINLIEST: How do you graph a quadratic equation in vertex form when the equation is a perfect square? Use x -4x+4 as an example Suppose that the electricity consumption in your home last month was 354 kWh. In your contract with the electricity company, you agreed to pay 11.3 cents per kWh. If you also have to pay a regular fixed charge of $15.63, determine the total amount due on your electricity bill. Solve for x and show your steps. Is the solution extraneous? Check your work to show how you determined if the solution is extraneous or not.[tex]\sqrt{4x-3}=5[/tex] AABC=AADC, LACB=143, AC=33 LACD=? x(x+3)-2(-5x+1)x=x^2-3(4-2x) Sunspot populations quickly rise and more slowly fall on an irregular cycle about every 11 years. Significant variations of the 11-year period are known over longer spans of time. For example, from 1900 to the 1960s the solar maxima (the period of greatest activity in the solar cycle of the sun) trend of sunspot count has been upward; from the 1960s to the present, it has diminished somewhat. The Sun is presently at a markedly heightened level of sunspot activity and was last similarly active over 8,000 years ago. The number of sunspots correlates with the intensity of solar radiation over the period (since 1979) when satellite measurements of absolute radiative flux were available. Since sunspots are darker than the surrounding photosphere it might be expected that more sunspots would lead to less solar radiation and a decreased solar constant. However, the surrounding margins of sunspots are hotter than the average, and so are brighter; overall, more sunspots increase the sun's solar constant or brightness. During the Maunder Minimum in the 17th Century there were hardly any sunspots at all. The Maunder Minimum is the name given to the period roughly from 1645 to 1715, when sunspots became exceedingly rare, as noted by solar observers of the time. It is named after the solar astronomer Edward W. Maunder (1851-1928) who discovered the dearth of sunspots during that period by studying records from those years. During one 30-year period within the Maunder Minimum, for example, astronomers observed only about 50 sunspots, as opposed to a more typical 40,000-50,000 spots. This coincides with a period of cooling known as the Little Ice Age. 1) Which of the following is a true statement?: A. There were more sunspots in 1965 than in 1701 B. The Little Ice Age had nothing to do with sunspots C. The Sun is presently at a low level of sunspot activity D. No one is counting sunspot activity any more