the pyramid below has a rectangular base and E is directly above A. The volume of the pyramid is 600cm^3. Work out the height of the pyramid, AE

Answers

Answer 1

Answer:The volume of the pyramid = (1/3)*area of base *height

= (1/3)*10*24*13 = 1040 cubic units.

The total surface area = area of rectangular base + area of 2 isosceles triangles with a base of 24 units + area of 2 isosceles triangles with a base of 10 units.

Area of rectangular base = 24*10 = 240 sq units.


Related Questions

2. A city council had a proposal for a new traffic light at an intersection that had a recent
accident. The council decided to take a poll of 284 randomly selected residents and asked if
they would support the construction. Of those polled, 219 stated that they would support the
new traffic light and 45 said they would not. Identify the problem with the study.

Answers

Answer:

A non-response occurred.

Step-by-step explanation:

The study is wrong because the number of people who participated in the pole is not equal to the  number of people who support the pole and the number of people who does not support the pole.

What is Survey?

A survey is conducted in order to collect a piece of specific information from a group of people chosen from the entire population who denotes the entire population for those questions.

Given that the council decided to take a poll of 284 randomly selected residents.

Also, it is given that the 219 stated that they would support the new traffic light and 45 said they would not.

Now, for the pole to be true the number of people who support the pole and the number of people who does not support the pole should be equal to the number of people who participated in the pole.

Further, the total number of people who support the pole and the number of people who does not support the pole is,

Total number of people = 219 + 45 = 264

Since the number of people who participated in the pole is not equal to the  number of people who support the pole and the number of people who does not support the pole. Therefore, the study is Wrong.

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HELPPPPPPP PLEASEEE!!!

Answers

Answer: A. (-1,-10)

The x-coordinate of the vertex can be calculated using [tex]x=-\frac{b}{2a}[/tex].

According to the equation given a = 1, and b = 2.

[tex]x=-\frac{b}{2a} =-\frac{2}{2(1)}=-\frac{2}{2} =-1[/tex]

The y-coordinate of the vertex can be calculated by subbing in the x-value from the previous equation (x = -1) for x, and solving for y.

[tex]y=x^{2}+2x-9=(-1)^{2}+2(-1)-9=1-2-9=-10[/tex]

∴ the vertex is (-1,-10).

Mr. Cho made a two-way table to describe members of his family. Which could describe the row and column headings for Mr. Cho’s table? whether the relative was born in Korea; whether the relative speaks Korean whether the relative was born in Korea; what their favorite Korean meal is what city in Korea is their favorite; whether the relative speaks Korean what city in Korea is their favorite; what their favorite Korean meal is

Answers

Answer:

A is correct

Step-by-step explanation:

The person above me is correct that why it have 4.7 rating

whether the relative was born in Korea; or whether the relative speaks Korean could describe the row and column headings for Mr. Cho’s table.

What is a two-way frequency table?

A two-way or contingency table is a statistical table that shows the observed number or frequency for two variables, the rows indicating one category and the columns indicating the other category.

Given, Mr. Cho made a two-way table to describe members of his family.

Items in the row are aligned from left to right, even as columns are aligned from pinnacle to bottom. A row is a horizontal alignment of information, even as a column is vertical. Data in a row carries records that describe an unmarried entity, even as information in a column describes a subject of records all entities possess.

Since Mr. Cho wants to describe his family in a proper way

Thus, he needs to Represent in such a form that every quality can be expressed evenly.

Therefore, whether the relative was born in Korea; or whether the relative speaks Korean could describe the row and column headings for Mr. Cho’s table.

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We now want to solve for x.

-4x + 11 = -1
-4x = BLANK?
X= BLANK?

can you help?

Answers

-4x=-12

X=3
I’m pretty sure that is correct
The answer is -4x = -12

What is f(0)?
4
5
6
7

Answers

Answer with a Step-by-step explanation: We are given the table as:

x    f(x)

0     6

2      7

4      0

7      5

i.e. corresponding to different values of x we are given the values of f(x)

we have to find the value of f(0)

i.e. we have to find the value of f(x) when x=0

As we can see from the table the value of f(x) at x=0 is 6

Hence, Correct option is:

C) 6

Answer:

C.

Step-by-step explanation:

6

Blake used b blocks to build a bridge. Bridget used 6 more than 3 times as many blocks as Blake did to build a bridge. Which expression represents how many blocks Bridget used?
A) b+(3x6)
B) b+3+6
C) 3(b+6)
D) 3b+6

Answers

Answer:

c

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Three times is 3 x b + 6

The point-slope form of the equation of the line that passes through (-9, -2) and (1, 3) is y-3 = {(x - 1). What is the slope-intercept form of the equation for this line?
O y = 2 x + 2
O y = 2 x - 4
O y = 2 x + 3 / 3
O y = 1/2 x - 1 / 2

Answers

Answer:

y=1/2x - 1/2

Step-by-step explanation:

Slope intercept form is y=mx+b

The m is the slope of the line and the b is the y-intercept.

You must first the slope. The formula of a slope is (y1-y2)/(x1-x2). In this example it is (-2-3)/(-9-1) which equals 1/2. By order of elimanation we can see that y=1/2x-1/2 is correct.

HELP ASAP!!!! There is a clip below.

Answers

Answer:

3.125

Step-by-step explanation:

We just multiply the dimensions together and when we do so we get 3.125.

Which system type is a linear system with infinitely many solutions?

A. Consistent dependent
B. Inconsistent
C. Consistent independent
D. Inconsistent dependent

Answers

Answer: C

Step by step explanation-

Answer:

A

Step-by-step explanation:

It is consistent dependent system , since:

inconsistent has no solutions

consistent independent has one solution,

while...

consistent dependent means that two linear functions are merged into a single line, and they always cross, giving an infinite number of solutions to the linear system

Your cousin Vinny wants to borrow $23750. He’s willing to pay you back over 8 years with simple interest. Your alternative is to invest in the $23750 into an account paying 7.75% compounded monthly.
A) How much interest would you earn in your investment if you deposit $23750 into an investment account for 8 years? Round to nearest cent.
B) What annual interest rate to you charge Vinny in order to make the same amount of interest on his loan as your investment account? Round to nearest hundredth of a percent.

Answers

Answer:

A)You will earn $20311.62 as interest  if you deposit $23750 into an investment account for 8 years.

B) The annual interest rate to you charge Vinny in order to make the same amount of interest on his loan as your investment account is 10.69%

Step-by-step explanation:

We are given that Your cousin Vinny wants to borrow $23750. He’s willing to pay you back over 8 years with simple interest.

Your alternative is to invest in the $23750 into an account paying 7.75% compounded monthly.

a)How much interest would you earn in your investment if you deposit $23750 into an investment account for 8 years?

Principal = 23750

Rate of interest = 7.75%

No. of compounds per year = 12

Time = 8 years

Formula : [tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Where A is the amount

P is the principal

r = rate of interest

n = No. of compounds

t = time

Substitute the value sin the formula :

[tex]A=23750(1+\frac{7.75}{1200})^{12 \times 8}[/tex]

A=44061.6163406

Interest = Amount - Principal

Interest = 44061.6163406-23750

Interest =20311.62

You will earn $20311.62 as interest  if you deposit $23750 into an investment account for 8 years.

B)What annual interest rate to you charge Vinny in order to make the same amount of interest on his loan as your investment account

Principal = 23750

Simple interest =[tex]\frac{P \times T \times R}{100}[/tex]

[tex]20311.62=\frac{23750 \times 8 \times R}{100}\\\frac{20311.62 \times 100}{23750 \times 8}=R\\10.69\%=R[/tex]

Hence The annual interest rate to you charge Vinny in order to make the same amount of interest on his loan as your investment account is 10.69%

Ok, sorry, I'm back hehe >:3 (Find the volume of a right cone that has the radius of 4 inches and the height of 12 inches) (Again, will give brainliest to first responder, and if CORRECT!) TwT

Answers

Your answer should of been B

What is the distance from
23, 5) to (33, -12)

Answers

Answer: 19.723083

Step-by-step explanation:

The answer is 19.7 for sure

In "The Gift of the Magi," O. Henry most likely uses the irony of the couple’s gifts to express the theme thatWhat number should be added to both sides of the equation to complete the square? x2 – 10x = 7

Answers

Answer:

Step-by-step explanation:

To complete the square, divide that 10 in the 10x by 2, then square that answer.

10/2 = 5

5^2 = 25

Add 25 to both sides

Factor completely 3x2 − 11x + 8
A. (x + 4)(3x - 2)
B. (x − 2)(3x − 4)
C. (x + 1)(3x − 8)
D. (x − 1)(3x − 8)

Answers

Answer:

The Answer is D. (x - 1) (3x - 8)

Step-by-step explanation:

So, we start with [tex]3x^2 - 11x +8[/tex].

First step is to break the expression into groups, by doing this, you get:

[tex]\left(3x^2-3x\right)+\left(-8x+8\right)[/tex]

Next, factor out the 3x from  [tex]\left(3x^2-3x\right)[/tex]. By doing this, you should get:

3x(x - 1)

Then, factor out the 8x from  [tex]\left(-8x+8\right)[/tex]. By doing this, you will get:

-8(x - 1)

Last, factor out the common term, x - 1, When you do this, you get:

(x - 1) (3x - 8)

Hope this helps!

Answer:

D.(x − 1)(3x − 8)

Step-by-step explanation:

Help please! I appreciate all of you people helping me:))

Answers

Answer:

∠ b = 12°

Step-by-step explanation:

Complementary angles sum to 90°, thus

a + b = 90 ← substitute a = 78

78 + b = 90 ( subtract 78 from both sides )

b = 12

That is ∠ b = 12°

One of the advantages to an employer of paying employees fuoco rate or commission is that the employee is paid based on
their performance What is one disadvantage of this type of pay?

Answers

Answer:

Becomes too focused on earning commission

Step-by-step explanation:

A person can become to focused on earning the commission to the exclusion of the best interests of the customer and the company.

Answer:

The employee becomes too focused on earning commission, so much so that they neglect the interests of the company they work for and its clients.

Hope this helps!

Martina read that approximately 10% of all people are left-handed. She wants to design a

simulation to approximate the probability of selecting exactly 2 right-handed people when 3

people are randomly selected.

Part A

In the simulation, Martina has a spinner with sections of equal size. One section is labeled "L"

(left) and the rest of the sections are labeled "R" (right).

For this simulation to be as accurate as possible, what is the total number of

sections that the spinner should have?

Answers

Answer:

15%

Step-by-step explanation:

9a. Which equation is set up correctly
to solve for x in the following
diagram?
7 + 18x
20.x - 5
1) 20x - 5+ 7 + 18x = 90
2) 20x - 5 + 7 + 18x = 180
3) 20 X - 5 = 7 + 18x
4) 20x - 5 + 7 + 18x = 360

Answers

The answer is: 2) 20x-5+7+18x = 180

Over the first 20 games of the season, the distribution of a basketball teams scores is bell shaped with
a mean of 94 points per game and a high of 109. Over the next 10 games, the team scored 94, 110, 102,
93, 98, 99, 121, 96, 94, and 108 points. Which statement best describes the change in the team's average
number of points per game?

Answers

The statement that most adequately recounts the change in the average of the team's no. of points per game would be:

A). The new mean is greater than the previous mean.

Given,

[tex]Mean = 94[/tex]

Now,

The points per game [tex]= 94, 110, 102, 93, 98, 99, 121, 96, 94, and 108[/tex]

New mean = (sum of observations)/No. of observations

[tex]= 1015/10[/tex]

= [tex]101.5[/tex]

Since [tex]101.5[/tex] is greater than [tex]94[/tex], the previous mean.

Thus, option A is the correct answer.

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the length of segment TQ= 29. explain how to find the length of segment QV. make sure to put the sentence in this form. statement then the because.
helpppp ):

Answers

Answer:

Length of segment QV = 35 units

Step-by-step explanation:

As shown in the figure attached,

Diagonals of TQVS are perpendicular to each other. Therefore TQVS will be a kite. By the property of a kite,

"There are two pairs of the sides which are equal in measure."

Therefore, TS ≅ TQ and SV ≅QV

Since TS ≅ TQ,

3x + 2 = 29 [Given: TQ = 29 units]

3x = 29 - 2

3x = 27

x = 9

Another pair of the consecutive sides is,

SV ≅ QV ≅ (4x - 1)

By substituting the value of x,

QV = (4 × 9) - 1

     = 36 - 1

     = 35 units

Therefore, length of segment QV = 35 units

Can someone help me out

Answers

The answer is g4 -2 hope this helps
G4 -2 is the answer for this question!

If P(-4,-2) and Q(1, -3) represent points in a coordinate
plane. If Q is the midpoint of segment PM, find M.
O (6,-4)
o(-5, -5)
O(-4,6)
(3,1)

Answers

Answer:

the answer is (6, -4)

Step-by-step explanation:

Find the area of the kite.

Answers

Answer:

30 m

Step-by-step explanation:

We use the area of a kite which is diagonal 1 multiply it by diagonal 2 then divide by two


Help me please!! Anyone

Answers

Answer:

180-88

92

Step-by-step explanation:

x=92

Answer:

I think its 92

Step-by-step explanation:

Supplementary angles always add up to 180

10 = 2 + a help meeeee

Answers

Answer:

8 = a help mee

btw variables cant have spaces

:)

Answer:

A=8

It is 8 because when you subtract 2 from 10, you get 8.

If you want to check your answer, 8 + 2 is 10

Step-by-step explanation:

Hope this helps (pls brainliest)

Ellen thinks that if a line has no slope, then it never touches the y-axis. Which line proves that her statement is incorrect?
A. x = 0
B. y = 0
C. x = 1
D. y = 1

Answers

Answer:

Option D

Step-by-step explanation:

A horizontal line has no slope. The equation 'y=1' graphs as a horizontal line. It passes (0,1). So, it touches the y-axis.

A line with an undefined slope does not touch the y-axis. It is vertical.

Option D should be the correct answer.

I know its not 3 or 4, is it 1 or 2 pls explain how u got it ASAP i always give brainliests and thx i am really stumped

Answers

the answer is number 2

What is (-4,4) reflected on the x-axis

Answers

Answer:

(-4, -4)

Step-by-step explanation:

When reflecting coordinates onto x-axis, x sign doesn't change, y sign changes.

Answer:

(4,-4)

Step-by-step explanation:

That is the answer because it is like you are flipping the object so the opposite of -4 is 4 and the opposite of 4 is negative 4.

help me please asap!!!!!

Answers

Answer:

x=10

Step-by-step explanation:

In order to solve this equation we must break it down. This question is going to require the Pythagorean theorem [tex]a^{2} +b^{2}=c^{2}[/tex]. To use this we need a right triangle which happens to be half of the triangle shown. Now we can plug in the numbers.

[tex]7^{2}+\frac{1}{2} x^{2} =\sqrt{74}^{2}[/tex]

[tex]49+\frac{1}{2} x^{2} =74[/tex]

[tex]\frac{1}{2} x^{2} =25[/tex]

[tex]\frac{1}{2} x=5[/tex]

[tex]x=10[/tex]

This ends in x equaling 10. I hope this helps you!

Each exterior angle of a regular polygon is 24º.
How many sides does the polygon have?​

Answers

Answer: 360 / 24 = 15

Step-by-step explanation :

Since the sum of the exterior angles is always 360 degrees, if you divide 360 degrees by 24 degrees you get 15 which is the number of equal exterior angles and therefore 15 vertices and sides to the polygon.

15 sides

The polygon has 15 sides

360/24=15

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