What is the volume in cubic centimeters if the
pyramid has a height of 27 centimeters?

What Is The Volume In Cubic Centimeters If Thepyramid Has A Height Of 27 Centimeters?

Answers

Answer 1

Answer:

The volume of the pyramid would be 4500 cm³.

Step-by-step explanation:

Formulas you would be using:

Volume of a pyramid: [tex]V = \frac{bh}{3}[/tex]  b = base, h = height

Area of a trapezoid: [tex]A = \frac{a+b}{2} h[/tex]  a = base₁ , b = base₂ , h = height

First, we're going to find the area of the trapezoid, which is the base of the pyramid.

We are given that a = 20, b = 30, h = 20

Plug it in:

[tex]\frac{20+30}{2} (20)[/tex] = 500 cm²

Now that we have found the base of the pyramid, we can plug it in along with the height of the pyramid.

[tex]V = \frac{(500)(27)}{3}[/tex] = 4500 cm³

Hope this helps :D


Related Questions

Keta sold tickets for her school play at $6 for students, and $9 for adults. She sold 15 adult tickets and made a sales total of $315. How many student tickets were sold 48 points

Answers

Answer:

Let x be the number of tickets sold to adults and y the number sold to students:

x + y = 315. But we know that y was double x, then :

y = 2x

Plug the value of y (in the 1st equation) by 2x:

 x+ 2x = 315

3x = 315

and x = 105 (which is the number of tickets sold to adults

Read more on Brainly.com - https://brainly.com/question/4429543#readmore

Step-by-step explanation:

Keith has 3 3/4 books left to read for school. Keith read 1 1/4 books on Monday.
How many more books does Keith have to read?

Answers

Answer:

2 2/4 or 2 1/2

Step-by-step explanation:

since its like denominators,

3 minus 1= 2

then you move onto fractions

3/4 minus 1/4= 2/4

and if you wanted to simplify 2/4= 1/2

The regional manager of a chain of department stores created the following stem and leaf plot showing the number of pairs of glasses at each of the stores how many department stores have exactly 37 pairs of glasses

Answers

Answer:

The stem and leaf plot is not shown, so I will answer the question in a general way.

Suppose you have the following stem and leaf plot

I 2 I 0 5 8

I 3 I 4 4 7 8

I 4 I 0

Then, the data is: 20, 25, 28, 34, 34, 37, 38, 40. In consequence, one department stores has exactly 37 pairs of glasses. But if your stem and leaf plot is:

I 2 I 0 5 8

I 3 I 7 7 7 8

I 4 I 0

then, three department stores have 37 pairs of glasses, and none of them have 34 pairs of glasses.

a reflection over the x-axis and y-axis produces the same result as what other transformation?

Answers

Answer:

A mirror

Step-by-step explanation:

thats all

A tower is composed of a prism with a square base and
a pyramid. The base length is 20 meters, and the
height of the prism is 40 meters, while the slant height
of the pyramid is 10v2 meters. What is the total surface
area, including the bottom base?
O 400V2 + 3,600 m2
O 200V2 + 3,600 m2
0 40012 + 400 m2
O 400012 m2

Answers

Answer:

a)400V2 plus 3,600 m2

Step-by-step explanation:

Answer:

400V2 + 3,600 m2

Step-by-step explanation:

Got it right on edge

Please help and explain. Thank you! :)

Answers

Answer:D

Step-by-step explanation:

The answer to the equation-12^6/12^4 is -144

So is-12^2.

Both equations equal -144 making -12^2 equivalent to -12^6/12^4

Hope I helped

Question 1 Please help. I'm not sure if I'm correct.
If mIJ⌢=46∘, what is the measure of angle HOK?

Answers

Answer:

HOK =167

Step-by-step explanation:

HOK = HOI +IOJ + JOK

         = 44+46+ 77

          =167

2x+9=3(4x-7) help show work

Answers

Answer:

2x+9=12x-21

-2.      -2

9=10x -21

+21           +21

30=10x

Divide by 10 on both sides

30/10

x=3

Step-by-step explanation:

Write an equation of the line that passes through (−1, 3) and is perpendicular to the line y=1/9x−1.

Answers

Answer:

Step-by-step explanation:

General equation of line

y = mx + c

m is slope

y = (1/9)x - 1

1/9 is slope

Since the other line that passes through the point is perpendicular, the product of both slopes is -1

1/9 * m = -1

m = -9

Using point-slope method

y-y1 = m(x-x1)

y-3 = -9(x-(-1))

y-3 = -9(x + 1)

y-3 = -9x -9

y = -9x-6

The value of which of these expressions is closest to e?
A. (1+1/19)^19
B. (1+1/22)^22
C. (1+1/20)^20
D. (1+1/21)^21

Answers

Answer:

B.

Step-by-step explanation:

Given: expressions

To find: the expression whose value is closest to e

Solution:

Value of e is 2.718

[tex]\left ( 1+\frac{1}{19} \right )^{19}=\left ( \frac{20}{19} \right )^{19}=2.65\\\left ( 1+\frac{1}{22} \right )^{22}=\left ( \frac{23}{22} \right )^{22}=2.659\\\left ( 1+\frac{1}{20} \right )^{20}=\left ( \frac{21}{20} \right )^{20}=2.653\\\left ( 1+\frac{1}{21} \right )^{21}=\left ( \frac{22}{21} \right )^{21}=2.656[/tex]

Therefore, value 2.659 is closest to the value of e.

So, option B. is correct.

Answer:

B

Step-by-step explanation:

Which graph represents the function f(x) =1/3 |x|?

Answers

Step-by-step explanation:

f(x) = 1/3|x|

then

f(x) = 1/3x  , if x ≥ 0

and

f(x) = -1/3x  , if x ≤ 0

the slope of f(x) = 1/3x is 1/3

the slope of f(x) = -1/3x is -1/3

this two above conditions apply on to the fourth graph to the right.

When solving a word problem why is it important to check if the final answer makes sense for the problem?

Answers

To make sure your answer is right

8+n the answer is 45

Answers

Answer:

n=37

Step-by-step explanation:

45-8=37

Answer:

n=37 easy math :)

please help!! thank you

Answers

Answer:

Step-by-step explanation:

[tex]3d^{-4}*4d^{4}=3*4*d^{-4+4}\\\\ =12d^{0}\\\\=12*1\\\\=12[/tex]

Answer:

12

Step-by-step explanation:

[tex]3 {d}^{ - 4} .4{d}^{ 4} \\ \\ = 3.4 \frac{{d}^{ 4}}{{d}^{ 4}} \\ \\ = 12[/tex]

05.01 MC)
What is the equation in point-slope form of the line passing through (0, 5) and (−2, 11)? (5 points)

Question 4 options:

1)

y − 5 = −3(x + 2)

2)

y − 5 = 3(x + 2)

3)

y − 11 = −3(x − 2)

4)

y − 11 = −3(x + 2)

Answers

the answer is number 2)

Solve for n.
n + 1 = 4(n - 8)
n = 1
T
n = 8
n = 11
n = 16

Answers

Answer:

n=11

Step-by-step explanation:

n+1=4(n-8)

11+1=4(11-8)

12=4(3)

12=12

n= 11


question:
n+1= 4(n-8)

first step: distribute 4 through the parenthesis:
n+1= 4n-32

next step: move the variable to the left hand side and change the sign:
n-4n+1= -32

next step: collect the like terms:
-3n= -32-1

last step: divide both sides by -3:
-3n= -33

solution: n= 11

Find the product.
(6y+2) (y-7)

Answers

Foil:

6y•y= 6y^2
6y•-7= 42y
2•y= 2y
2•-7= -14

Therefore:

6y^2 + 42y + 2y - 14 is almost the answer, now collect like terms:

6y^2 + 44y - 14 is your answer
the answer is 6y^2 + 44y - 14

guys i need help lol

Answers

Answer:

x = 17°, m∠ A = 114°

Step-by-step explanation:

We can tell that these pair of angles are corresponding, provided;

Line 1 ║ Line 2, AB ∩ Line 1 and Line 2 ⇒ corresponding ∠s ≅,

m∠ A = m∠ B ⇒ Substitute values of A and B,

6x + 12 = 3x + 63 ⇒ Subtract 3x on either side,

3x + 12 = 63 ⇒ Subtract 12 on either side of equation,

3x = 51 ⇒ Divide either side by 3,

x = 17 ⇒ Substitute value of x to solve for m∠ A,

m∠ A = 6 * ( 17 ) + 12,

m∠ A = 102 + 12,

m∠ A = 114

Solution; x = 17°, m∠ A = 114°

Answer:

x = 17, ∠A = 114°

Step-by-step explanation:

I'm 8 years old and I know how to do this.

6x + 12 = 3x + 63

3x + 12 = 63

3x = 51

x = 17

6(17) + 12

102 + 12 = 114

Anna takes 2 minutes to perform each exercise of her workout routine at the gym. She has already been at the gym for 20 minutes and wishes to be there no longer than 1 hour in total. Anna wonders if she has time to do 18 more exercises.

(1.) Write an inequality to find the maximum number of exercises x Anna can perform without leaving the gym later than she planned.
(2.) Does Anna have time to do 18 more exercises. Explain.

Answers

Answer:

1. 20 + 2x ≤ 60

2. Yes, see explanation

Step-by-step explanation:

Let x equal the amount of exercises Anna can perform.

The inequality will look like this:

20 + 2x ≤ 60

Let's go over each of the values and why there in the equation.

20: The amount of minutes Anna has already spent in the gym

2: The amount of minutes per exercise

x: The amount of exercises Anna can perform

≤: The amount of exercises must be less than or equal to the amount of time Anna is willing to spend in the gym.

60: The amount of minutes in an hour; the amount of time Anna is willing to spend at the gym.

Now, plug in 18 for x for question 2.

20 + 2(18) ≤ 60

Evaluating 2*18, the inequality becomes 20 + 36 ≤ 60.

Evaluating 20 + 36, the inequality becomes 56 ≤ 60.

Since 56 is less than 60, we can determine that Anna has time to do 18 more exercises.

What are all solutions to the equation lxl = 4?

Answers

Answer:

x= -4, x = 4

Step-by-step explanation:

3) The sum of three consecutive numbers is 72. What are the smallest of these numbers?

Answers

Answer:

23

Step-by-step explanation:

23 + 24 + 25 = 72

i just need the work for 11 & 12. i know the answer for 11 is (16,4) and 12 is (5,7) but i don’t know how to work it out to get those answers. (solving a system of linear equations)

Answers

Answer:

Step-by-step explanation:let x be the number of bicycles,

let y be the number of tricycles

given x+y=20→equation 1

also given 2x+3y=44→equation 2

from eq 1, y=20-x

substitudin ineq 2

2x+3(20-x)=44

2x+60-3x=44

60-x=44

-x=44-60

=-16

x=+16

then y=20-16=4

no of bicycles=16

no of tricycles=4

hope this helps

plzz mark me brainliest


20 POINTS EACH PERSON

The perimeter of a rectangular swimming pool is represented by the expression 8x – 2. If the width of the swimming pool is represented by the expression x – 1, which expression represents the length of the pool? 7x – 1 6x – 4 3x 6x

Answers

Answer:

61 ft

Step-by-step explanation:

Answer:

The length of rectangle is 3x.

Step-by-step explanation:

Given that the perimeter of rectangle formula is P = 2l + 2w where l represents length and w is width. Then you have to substitute the expressions into the formula :

[tex]p = 2l + 2w[/tex]

Let p = 8x - 2,

Let w = x - 1,

[tex]8x - 2 = 2l + 2(x - 1)[/tex]

[tex]8x - 2 = 2l + 2x - 2[/tex]

Next you have to find the expression for length by moving all the unrelated terms to the other side :

[tex]8x - 2 - 2x + 2 = 2l[/tex]

[tex]2l = 6x[/tex]

[tex]l = 3x[/tex]

Mrs. Harless surveyed 18 students about the number of movies they watched this past summer. She displayed the results in a circle graph and a line graph. Which is the better display? Why?

Answers

The line graph is bettee.

The better display for the survey of 18 students about the number of movies they watched this past summer is a circle graph.

What is graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.

Given that, Mrs. Harless surveyed 18 students about the number of movies they watched this past summer, she used a circle graph and a line graph.

Since, a line graph used to track changes over short and long periods of time, It represents the change in a quantity with respect to another quantity. It shows how the value of something changes over time, or compare how several things change.

Whereas, a circle graph helps organize and show data as a percentage of a whole, it is divided into slices to illustrate numerical proportion.

Therefore, if Mrs Harless used a circle graph, it would be better to understand the data of the students.

Hence, the better display for the survey of 18 students about the number of movies they watched this past summer is a circle graph.

Learn more about graph, click;

https://brainly.com/question/17267403

#SPJ3

Please help me with this.

Answers

Answer:

the ancer is 1

Step-by-step explanation:

4. Find the surface area of the space figure represented by the net.
A 75 cm
B 96 cm2
C 90 cm2
D 69 cm

Answers

The correct answer is C. 20 characters

Find the value of x and the value of y.

Answers

Answer:

B.

Step-by-step explanation:

If you extend the middle line, you will find that the two angles that the line makes are 60° and 40° by alternate interior angles.

Then, you can just make an equation:

2x + 2x - y + y + 60 + 40 = 360

4x = 260

x = 65°

Now you can use same side interior angles to make another equation:

2x - y + 60 = 180

130 + 60 - y = 180

y = 10

In the expression 16x + 2x – 5y + 17, which terms are “like terms”?

Also i didn't mean to say exam on last question, turns out it was a quiz, my bad it just has alot of questions over 4, it has 6.

Answers

the like terms are 16x and 2x

Answer:

16x and 2x have like terms

A cylinder has a volume of 100 (pi) cubic cm. It has a height of 4 cm. What is the length of its diameter?​

Answers

Answer:

5.64

Step-by-step explanation:

v=pi(r)2h

hope this helps

Which values are solutions to the inequality below
Check all that apply

Answers

Answer:

3 and -3

Step-by-step explanation:

because both have the same which is equal to 9 so it not above 25 or equal to 25

Answer:

c & F

Step-by-step explanation:

A. 25>25 true

B.144>25,true

C.9>25false

D.25>25 true

E.144>25 true

F.9>25 false

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