The perimeter of the base of a square pyramid is 16 feet and it stands 20 ft tall. Calculate the volume.​

Answers

Answer 1

Answer: [tex]1706.67 feet[/tex]

Step-by-step explanation:

Formula: Volume = [tex]\frac{1}{3} \alpha^{2}h[/tex]

a is the length of the base's edge and h is the height. Since 16 is the length we would square it as it is the length, then we would multiply it by the height which is 20 ft.

Steps: Multiply

Volume = [tex]\frac{1}{3} \alpha^{2}h[/tex]

= [tex]\frac{1}{3} * 16^{2} * 20[/tex]

= [tex]1706.67 feet[/tex]

~I hope I helped you :)~


Related Questions

what is the answer to –(d+1)>3

Answers

Answer:

−(d+1)>3

Step 1: Simplify both sides of the inequality.

−d−1>3

Step 2: Add 1 to both sides.

−d−1+1>3+1

−d>4

Step 3: Divide both sides by -1.

[tex]\frac{-d}{-1}[/tex] >  [tex]\frac{4}{-1}[/tex]

d < -4

What is the midpoint of the segment shown below ? A. (1,5) B. (2,5), C ( 1 1/2,5), D. (2 1/2, 5)

Answers

The midpoint of the line segment is (2,5) (option B)

How do you find the midpoint of a line segment in a coordinate?

When given the end points of a line segment, you can find out its midpoint by using the midpoint formula. As the name might have already suggested, midpoint is basically the halfway between two end points. All you need to do is dividing the sum of x-values and the sum of y-values by 2.

The sum of x coordinate is -1+5 = 4

half of sum of x coordinate = 4/2 = 2

The sum of y coordinate = 5+5= 10

half of sum of y coordinate = 10/2 = 5

therefore the midpoint of the line is ( 2,5)

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Which of the following shows the lengths of the sides of a right triangle?

A. 2, 3, 4

B. 5, 7, 11

C. 6, 8, 10

D. 8, 12, 15

Answers

Answer:

C

Step-by-step explanation:

use the formula a²+b²=c²

At Imelda's fruit stand, you bought 555 apples and 444 oranges for \$10$10dollar sign, 10, and your friend bought 555 apples and 555 oranges for \$11$11dollar sign, 11. Using this information, is it possible to determine the cost of one apple and one orange from the fruit stand? If so, what do they cost? If not, why not? Choose 1 answer:

Answers

Answer:

Each apple would cost 1.20 and each orange would cost 1

Step-by-step explanation:

Answer:

See Attached!

Step-by-step explanation:

I need help on this please

Answers

Answer:

25/3

Step-by-step explanation:

Set the equations equal to each other since the lines are parallel.

(x+20)=(4x-5)

-x  +5       -x   +5

25/3 = 3x/3

x = 25/3

Since these equations are consecutive interior angles, they will add up to 180.
The equation will be (x+20)°+(4x-5)°=180.

(x+20)+(4x-5)=180
5x+15=180
5x=165
165/5x
=33°

You can make sure your answer is correct by putting your x back into the equation.
(33+20)+(4•33-5)
53+132-5
53+127
180

Please helppp number 11

Answers

Answer:

(1/3)⁷

Step-by-step explanation:

negative exponents work like this:

x⁻²=(1/x)²

Apply this theory to this equation:

3⁻⁷=

(1/3)⁷

I need help anyone I'll give you 50 points, asap !!!​

Answers

Answer:

Step-by-step explanation:

d

Answer:

Letter d

Step-by-step explanation:

pls mark this as brainliest! thx :)

Maddie has saved $375 for a new mountain bike. Her grandmother will also give her
$215 to help pay for the bike. Which inequality can be used to find p, the price of the
bike that Maddie can afford?

Answers

Answer:

375+215 is greater than or equal to p

Step-by-step explanation:

quick maths

Can someone pls help me?

Answers

Answer:

BCD?

Step-by-step explanation:

Find the distance between the two points rounding to the nearest tenth (if necessary).
(-4,2) and (2, -6)
Answer: _____

Answers

Answer:

         d = 10

Step-by-step explanation:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\(-4,2)\quad\implies\quad x_1=-4\,,\ y_1=2\\\\(2,-6)\quad\implies\quad x_2=2\,,\ y_2=-6\\\\d=\sqrt{(2+4)^2+(-6-2)^2}= \sqrt{6^2+(-8)^2}= \sqrt{26+64}= \sqrt{100}=10[/tex]

Which of the following is the factored form of the expression 18 + 12?​

Answers

6(3 + 2)

thats the answer

Answer:

30 the answer to it question

megan solved the following exponential equation for x. what did she do wrong​

Answers

Answer:

take a better photo this is blurry

Step-by-step explanation:

7.501 in expanded form

Answers

I think the answer is 7 + 0.5 + 0.001. Sorry if that wasnt what you were looking for

If , which equation describes the graphed function? A. y = f(-x) − 3 B. y = -f(x) + 3 C. y = -f(x) – 3 D. y = f(-x) + 3

Answers

Answer:

y=-f(x)-3

Step-by-step explanation:

when f is negative it is reflected over the x-axis and -3 means to translate 3 units down

y = -f(x) – 3 describes the graphed function.

When f is negative it is reflected over the x-axis.

-3 means to translate 3 units down.

How do you identify a function?

By using inspecting the inputs (x-coordinates) and outputs (y-coordinates), you could decide whether or no longer the relation is a function. Keep in mind, that this is a feature each input has only one output.

What are examples of graph functions?

Function Graphs.Linear. Quadratic. Cubic. Square Root. Cube Root. Absolute Value. Reciprocal.

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A convex polyhedron has faces that consist of 5 congruent squares and 4 congruent equilateral triangles. The
polyhedron has 16 edges. How many vertices does it have?
O 5 vertices
O 9 vertices
O 13 vertices
O 14 vertices

Answers

Answer:

9

Step-by-step explanation:

trust

Answer:

9

Step-by-step explanation:

bing bong

Natalee wanted to demonstrate the volume of a square pyramid. To do this, she took a hollowed out pyramid that has a base of 25 square inches and a height of 5 inches and filled it with water. She then dumped this water into a hollowed out cube that has a volume of 125 cubic inches. Enter the amount of times that she will need to dump the water from the pyramid into the cube to completely fill the cube

Answers

Answer:

The answer is below

Step-by-step explanation:

Natalee transferred water from a square pyramid to a cube. To calculate how many times she will need to dump the water from the pyramid into the cube to completely fill the cube, we divide the volume of the cube by the volume of the square pyramid. Hence:

Number of times = volume of cube / volume of pyramid

The perimeter of the pyramid base = 25 in, hence the length of one side of the bae = 25 / 4 = 6.25 in

Volume of square pyramid  = base² × (height / 3) = (6.25 in)² * (5 in / 3) = 65.1 in³

Volume of cube = 125 in³

Number of times = 125 in³ / 65.1 in³ = 1.92

The amount of times that she will need to dump the water from the pyramid into the cube to completely fill the cube is 1.92.

What is volume?

The capacity of a container of any shape is called the volume.

Natalee transferred water from a square pyramid to a cube. Then,

Given is the perimeter of the pyramid base = 25 in

So, the length of one side of the base b= 25 / 4 = 6.25 in

Volume of square pyramid  = b² × (h/ 3) = (6.25 in)² * (5 in / 3) = 65.1 in³

Volume of cube = 125 in³

Number of times = volume of cube / volume of pyramid

Number of times = 125 in³ / 65.1 in³ = 1.92

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Question 3 of 10
Which choice is the solution to the inequality below?
8x <56

A.x >27
B.x < 7
C.x <48
D.x < 8

Answers

Answer:

That is quite simple,7 is the best choice

hghghgghgghghghghghghghgghhgghhghghghghghghghghhghghghghghg

Answers

wow thanks is the answer

In the figure above, rectangle V'W'X'Y' is a dilation of rectangle VWXY. What is the scale factor of the dilation?

A. 0.25
B. 2
C. 343 fourths
D. 14

Answers

Answer:

D. [tex] \frac{1}{4} [/tex]

Step-by-step explanation:

Given that rectangle V'W'X'Y' is a dilation of rectangle VWXY, this means that the dimensions of rectangle VWXY was reduced by to get the dimensions of V'W'X'Y'.

Therefore, the ratio of any segment of V'W'X'Y', to a corresponding segment of VWXY would be equal to the scale factor.

W'X' = 5

WX = 20

Therefore:

Scale factor = [tex] \frac{5}{20} = \frac{1}{4} [/tex].

A scale factor that is a fraction tells us that the original figure reduced in size resulting into another new figure whose sides are of proportional lengths to the original figure.

In other words, the original figure was compressed go form a new figure.

how to solve using Substitution or Elimination?
y=3x-1

y=2x+2

Answers

By elimination:

y = 3x - 1

y = 2x + 2

Subtract the second equation from the first

0 = x - 1

y = 2x + 2

Subtract the first equation from the second

0 = x - 1

y = x + 3

Subtract the first equation from the second again

0 = x - 1

y =      4

Subtract x from both sides of the first equation

- x =  - 1

y =      4

Divide the first equation by (-1)    

x =  1

y =  4

So, the solution is  x = 1  and  y = 4   {or: (1, 4)}

A bakery has 36 glazed donuts on display. This is 80% of the total number of donuts. What is the total number of donuts in the bakery?

Answers

Answer:

it is 64.8, but you have to round to the nearest number, so i would say 65 :)

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

% means out of 100, so 80% is 80/100

Let's divide 100/80 to find a scale we can use to multiply 36, 100/80 =

36 times 1.25 = 45

There's 45 donuts

Double check:

45(80/100) = 36, we're right

Figure ABCD has vertice A (5,9) B (7,5) C (5,1) D (3,5)
Which names describe ABCD?

Answers

ABCD describes a rhombus.

PLZ HELP I BEG I REALLY NEED HELP :)

Answers

Answer:

A

Step-by-step explanation:

A. Ur welcome if it’s wrong sorry

Please help me solve these 3 problems. Solve for x state the properties used and check your answer. I’ll mark as brainliest.
a) 5(x - 2) - 6 = 24
b) 22 = (3x+5) - 18
c) -48 = -4(2x+5)+ 5x - 1

Answers

Answer:

a) 5x=8 use a calculator and use distributive property

b) 22=3x+5 -18

22=3x-13

9=3x

x=3

distributive property

c)-48= -8x-20+5x-1

-48= -3x-21

-27= -3x

x=7

distributive property

Step-by-step explanation:

which of the following recurisive formula's represents the same geometric sequence as the formula an=2x3^(n-1)

Answers

Answer:

{a1=2

{an =an-1 (1/2)

Step-by-step explanation:

a1 = 2(1/2)0 = 2

a2 = 2(1/2)1 = 1 = a1(1/2)

a3 = 2(1/2)2 = 1/2 = a2(1/2).

an = an-1(1/2)

Answer:

[tex]a_{n}[/tex]= [tex]3[/tex] · [tex]a_{n}[/tex] -1.

You work as a cashier for a grocery store and earn $5 per hour. You also mow lawns and earn $10 per hour. You want to earn at least $50
per week, but would like to work no more than 10 hours per week.
Which system of inequalities, along with y0 andx
0, would you use to solve the real-world problem?

Answers

The required inequalities are x + y ≤ 10 and 5x + 10y ≥ 50

What is an inequality?

A relationship between two expressions or values that are not equal to each other is called inequality.

Given that, You work as a cashier for a grocery store and earn $5 per hour. You also mow lawns and earn $10 per hour. You want to earn at least $50 per week, but would like to work no more than 10 hours per week.

Let, you work at grocery story (x), and you work mowing lawns (y)

You want to work no more than 10 hrs

So, first inequality will deal with hrs.

x + y ≤ 10....(i)

A less than or equal to sign tells that you do not want to work more than 10 hrs, but you can still work 10 hrs, so we include the equal sign as well.

And,

Grocery store (x) earning $5 per hr and lawn mowing (y) earning $10 per hr, making at least $50...

Now we will make an inequality dealing with the $

5x + 10y ≥ 50.....(ii)

A greater than or equal to sign tells that, you want to make 50 or more, so we include the equal sign.

So, the inequalities are :

x + y ≤ 10

5x + 10y ≥ 50

Learn more about inequalities, click;

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uhhh help me , i give brainliest

Answers

Answer:

36

Step-by-step explanation:

x² + 12x - 40 = 0

x² + 12x    = 40

Now, 12/2 = 6. So add 6² = 36 to each side

x² + 12x + 36 = 40 +36

Consider the enlargement of the triangle.

A small triangle has a base of 1.7 feet and height of 9.3 feet. A larger triangle has a base of 3.5 feet and height of x feet.
Not drawn to scale

Rounded to the nearest tenth, what is the value of x?
15.8 feet
19.1 feet
23.3 feet
32.6 feet

Answers

Answer:B 19.1 feet

Step-by-step explanation:

The value of the x is 19.1 feet.

What is ratio?

"It is an ordered pair of numbers a and b, written [tex]\frac{a}{b}[/tex] where b does not equal 0."

What is proportion?

"When two ratios are equal then they are said to be in proportion."

For given question,

A small triangle has a base of 1.7 feet and height of 9.3 feet.

A larger triangle has a base of 3.5 feet and height of x feet.

Since it is the enlargement of the triangle, the sides of both the triangle must be in proportion.

[tex]\Rightarrow \frac{1.7}{3.5}= \frac{9.3}{x}\\\\\ \Rightarrow 1.7\times x=3.5\times 9.3\\\\ \Rightarrow 1.7\times x=32.55\\\\ \Rightarrow x=19.14[/tex]

Therefore, the value of the x is 19.1 feet.

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help please asap!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The answer is 3.

Step-by-step explanation:

Plug in, combine, solve.

[tex]m = - 3 \\ {m}^{2} + 5m + 9\\ ( - 3)^{2} + 5( - 3) + 9 \\ 9 + 5( - 3) + 9 \\ 9 - 15 + 9 \\ - 6 + 9 \\ 3[/tex]

What is the slope of the line y= -121x + 200 ??

Answers

Answer:

Slope = - 121

Step-by-step explanation:

Step 1:

y = mx + b         Slope Intercept Form

Step 2:

m = Slope      

Step 3:

y = - 121x + 200        Equation

Answer:

Slope = - 121

Hope This Helps :)

Answer:

-121X

Step-by-step explanation:

In an equation, x= the slope, and the number that comes after is the y intercept. So 200 would be where the line starts, and would have a negative slope of -121x

I hope this helps! :)

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