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nordsb [41]
2 years ago
5

21 5/8% as a decimal

Mathematics
1 answer:
Hitman42 [59]2 years ago
4 0
21.625 is the answer
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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
dmitriy555 [2]

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.

3 0
3 years ago
“7a - 17 = 4a +1”<br><br> Step by step pls
Monica [59]

Answer:

a = 6

Step-by-step explanation:

7a-17 = 4a +1 ; Subtract 4a from both sides

3a - 17 = 1 ; Add 17 to both sides

3a = 18 ; Divide both sides by 3

a = 6

6 0
2 years ago
Read 2 more answers
Evaluate the expression: –(31 + 2) + 72 – (–5)2.
Rudiy27

Answer:

 14

Step-by-step explanation:

Order of operations rules require that we do any work inside parentheses first.  Thus,

–(31 + 2) + 72 – (–5)^2

becomes:

     -33    + 72 -  25, or

               14

Important:  Please use " ^ " to denote exponentiation; (-5)2 is incorrect, whereas (-5)^2 or (-5)² is correct.

4 0
2 years ago
What is the answer to <br> 7y + 5 + (3 - y)?
Nataliya [291]
Answer with factoring: 2(3y+4)

Answer with simplifying: 6y+8
4 0
3 years ago
Read 2 more answers
6,000 multiplied by power of 10
larisa86 [58]
An easy way of finding the answer to your question is by using a scientific calculator. When I plugged in 6,000^10 it gave me 6.0466176x10^37. Yes the answer is in scientific notation, but if you want the answer shortened out to the nearest hundredth place the answer is 6.05.
7 0
3 years ago
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