Answer:
A) 5x²(x^(8) - 16)
B) 5x²[(x⁴ + √16) • (x² + ∜16) • (x + (8√16) • (x - (8√16))]
Step-by-step explanation:
We are given the expression;
5x^(10) - 80x²
A) Since the expression is, 5x^(10) - 80x², the greatest common factor is 5x². So we will factorize that out.
So, we have;
5x²(x^(8) - 16)
B) The complete factorization of 5x²(x^(8) - 16) will be;
5x²[(x⁴ + √16) • (x⁴ - √16)]
Now, (x⁴ - √16)] can be broken than further into;
(x² + ∜16) • (x² - ∜16)
Also, (x² - ∜16) can be broken down into;
[(x + (8√16) • (x - (8√16))
So, our complete factorization gives us;
5x²[(x⁴ + √16) • (x² + ∜16) • (x + (8√16) • (x - (8√16))]
Divide 2160 by 150 to get the answer. You should get a round number. If not, plz comment below.
Answer:
4.75 feet
Step-by-step explanation:
Let the height of the flagpole be x
Sin 53 = x/12
x = 12 × Sin 53
x = 12 × 0.3959
x = 4.75 feet