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Rasek [7]
3 years ago
9

What is the volume of the square pyramid with base edges 54 yd and slant height 45 yd?

Mathematics
1 answer:
Effectus [21]3 years ago
7 0
The answer is V = 34,992 y^3

You can answer this using an online calculator - calculator soup dot com under geometry then pyramid. Select given a (side length) and s (slant height). Enter the amounts to find V (volume).

To manually compute, get the h (height) first before computing for V (volume).

h^2 = l^2 - (s/2)^2  :  l (slant height), s (base edge/side)
h = √((45^2) - (54/2)^2)
h = 36

Then find V (volume) : s (side), h (height)

V = 1/3 (s^2)(h)
V = 1/3 (54^2)(36)
V = 34,992 y^3

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Sara is working on a Geometry problem in her Algebra class. The problem requires Sara to use the two quadrilaterals below to ans
EleoNora [17]

Answer:

For the perimeters, x must be equal to 2.

For the areas, it is either undefined, or something.

Step-by-step explanation:

You can first find the perimeters for both sides.

For the left shape, we add the two sides of 6 and x + 4 to get x + 10.

Then we multiply x + 10 by 2 because there are 4 sides, and we only got 2 sides.

The perimeter of the first shape is 2x + 20.

The second shape can be solved by doing the same thing by adding 2 and 3x + 4 to get 3x + 6.

3x + 6 times 2 is 6x + 12.

The second perimeter is 6x + 12.

If both sides are supposed to be equal, then we can write these two expressions we solved for like:

6x + 12 = 2x + 20.

Subtraction property of equality

6x + 12 - 12 = 2x + 20 - 12

Simplify

6x = 2x + 8

Again

6x - 2x = 2x - 2x + 8

Simplify

4x = 8

Division property of equality

4/4x = 8/4

Simplify

x = 2

So if x = 2, the perimeters will be the same.

You can confirm this by plugging it back into either equation.

For the areas, we just multiply the length and width for both shapes, so we get

6(x+4)  =  2(3x+4)

Since they are supposed to be equal.

We simplify and get

6x + 24 = 6x + 8

We know this is false and is not possible, since we can remove the 6x because it is on both sides.

We also know that 24 is not equal to 8 (who thought!)

:D

24 ≠ 8

So it is undefined or whatever you call it.

3 0
3 years ago
The radius of a semicircle is 9.1 centimeters. What is the semicircle's perimeter?
Sloan [31]

Answer:

<u>46.77 cm</u>

Step-by-step explanation:

Perimeter of the semicircle = Circumference + 2r

  • πr + 2r = r (π + 2)
  • 9.1 (3.14 + 2)
  • 9.1 (5.14)
  • <u>46.77 cm</u>
8 0
2 years ago
Montraie has a coin collection. He keeps 10 of the coins in his box, which is 20% of the collection. How many total coins are in
jek_recluse [69]

By definition of percentages, we conclude that Montraie has 10 coins saved in his box that come from a collection with a total of 50 coins.

<h3>How to calculate the quantity of coins in a collection</h3>

In this question we know the quantity of coins in a box and such coins are part of the <em>coin</em> collection. By definition of percentage we have the <em>total</em> quantity of coins in the collection:

x = 10*(100/20)

x = 50

By definition of percentages, we conclude that Montraie has 10 coins saved in his box that come from a collection with a total of 50 coins.

To learn more on percentages: brainly.com/question/13450942

#SPJ1

4 0
2 years ago
Please answer ASAP!!!
Gwar [14]

Answer:

Wheres the question

Step-by-step explanation:

4 0
3 years ago
Sarawongs school is selling tickets to the anual talent show on the first day of ticket sales the school sold 1 adult ticket and
vaieri [72.5K]

Price of one adult ticket is $9 and price of one student ticket is also $9.

Step-by-step explanation:

Let,

Adult ticket = x

Student ticket = y

According to given statement;

x+2y=27   Eqn 1

2x+2y=36   Eqn 2

Subtracting Eqn 1 from Eqn 2;

(2x+2y)-(x+2y)=36-27\\2x+2y-x-2y=9\\x=9

Putting x=9 in Eqn 1;

9+2y=27\\2y=27-9\\2y=18

Dividing both sides by 2;

\frac{2y}{2}=\frac{18}{2}\\y=9

Price of one adult ticket is $9 and price of one student ticket is also $9.

Keywords: linear equations, subtraction

Learn more about linear equations at:

  • brainly.com/question/10081622
  • brainly.com/question/10341324

#LearnwithBrainly

4 0
3 years ago
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