Answers:
hypotenuse = 20 feet
longer leg = 16 feet
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Explanation:
c = x = length of the hypotenuse
a = x-4 = length of one of the legs
b = 12 = length of the other leg
Use the pythagorean theorem
a^2 + b^2 = c^2
12^2 + (x-4)^2 = (x)^2
144 + x^2 - 8x + 16 = x^2
144 - 8x + 16 = 0 .... the x^2 terms cancel
160-8x = 0
160 = 8x
8x = 160
x = 160/8
x = 20 is the hypotenuse
x-4 = 20-4 = 16 is the longer leg
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Check:
12^2+16^2 = 144+256 = 400
20^2 = 400
Since 12^2+16^2 = 20^2 is true, this means we have a right triangle with legs of 12 and 16, while the hypotenuse is 20. The answer is confirmed.
Do the split method, by splitting it in the middle
Factor 3x^3 + 4x^2 and -15x - 20 seperately
x^2 (3x + 4) - 5(3x + 4)
(x^2 - 5)(3x + 4) is your answer
hope this helps
Square root 27 is 3squer root 3 so the answer is 2 square root three
Length of the cylinder = 84.5 cm
Diameter of the cylinder = 2.40 cm
The circumference is
π(2.40 cm) = 2.4π cm.
The area is
A = (2.4π cm)*(84.5 cm) = 637.1 cm²
Answer: a. 637 cm²
The answer is 4733%
I did this by multiplying 47.33 by 100 to convert to percent.
47.33*100=4733%
