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GREYUIT [131]
3 years ago
14

Find the island height of a pyramid with a volume of 432 ft^3 if the base is a square with a side length of 12 ft. Round to the

nearest tenth.
I would appreciate some help with this question as I don't fully understand what it's asking, abit of an explanation would be appreciated too!

Mathematics
1 answer:
dmitriy555 [2]3 years ago
3 0

So the picture below shows what the slant height is. It also shows that the pyramid can form a right triangle, in which we can use the pythagorean theorem, which is leg^2+leg^2=hypotenuse^2 .

But first, we have to find the height of this pyramid. The volume formula for a square pyramid is A=\frac{lwh}{3} . Since we know its a square pyramid, the length and width are going to be the same (12 ft), and we know that the volume is 432 ft^3. Using this info, we can solve for the height:

432=\frac{12*12*h}{3}\\ 1296=12*12*h\\ 1296=144*h\\ 9=h

So now we can use the pythagorean theorem (remember to split the 12 by 2, since the right triangle has only half the length of the base). Our equation will be solved as such:

6^2+9^2=s^2\\ 36+81=s^2\\ 117=s^2\\ 10.8=s

In short, the slant height is 10.8 ft.

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Answer:

42 books

Step-by-step explanation:

The ratio percent for nonfiction is 0.78%

You multiply the amount of book by the percent that is nonfiction which give you the answer of 42.

54(0.78) = 42

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2 years ago
What major contribution to both government in England and in the colonies was made by the Roman style of government?
Lera25 [3.4K]

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B

Step-by-step explanation:

8 0
3 years ago
Can you help me with 12-3(x+1)=30
inysia [295]
Greetings!

12-3(x+1)=30
Distribute the Parenthesis.
12-3x-3=30
Combine like terms.
9-3x=30
Add -9 to both sides.
(15-3x)+(-9)=(30)+(-9)
-3x=21
Divide both sides by -3.
(-3x)/-3=(21)/-3
The Answer Is:
x=-7

Hope this helps.
-Benjamin
7 0
3 years ago
The dimensions of the swimming pool and the gym are proportional.
Paladinen [302]
<h3>The dimensions of the gym floor could be 150 feet by 120 feet</h3><h3>The dimensions of the gym floor could be 225 feet by 180 feet</h3>

<em><u>Solution:</u></em>

Given that,

The dimensions of the swimming pool and the gym are proportional

The pool is 75 feet long by 60 feet wide

To find: set of possible dimensions for the gym

To determine the possible dimensions for the gym, you would use the same number to multiply both 75 and 60

<em><u>One set of dimensions are:</u></em>

75 x 2 = 150

60 x 2 = 120

The dimensions of the gym floor could be 150 feet by 120 feet

<em><u>Other set of dimensions:</u></em>

75 x 3 = 225

60 x 3 = 180

The dimensions of the gym floor could be 225 feet by 180 feet

4 0
3 years ago
Kate Alexander worked 40 hours last week. Her pay rate is $8.50 per hour. Assuming 7.65% social security withholding, how much s
Harman [31]
The answer is 40*8.50 * 7.65/100 = 26.01 and that's your answer
4 0
3 years ago
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