Lets say pi is 3.14
The area of a circle is: pi*radius squared
The radius is half the diameter so it is 5 inches.
3.14*5 squared 2
3.14*25
78.5inches squared
Answer:
31/6
Step-by-step explanation:
Write all numbers above the common denominator so 6-5/6
Multiply 6 by 6
Then we have 36 -5 / 6
Subtract the numbers so 36 -5 = 31 and 6 stays the same
We end up with 31/6 or 5 1/6 or 5.16 as Alternative form
Answer:
B
Step-by-step explanation:
![~~~2x^{16} - 32x^4\\\\ = 2x^4(x^{12} -16)\\\\=2x^4\left[(x^6)^2 - 4^2 \right]\\\\=2x^4(x^6 -4)(x^6 +4)~~~~~~~~~~~~~~~~~~;[a^2 -b^2 = (a+b)(a-b)]\\\\=2x^4\left[(x^3)^2 - 2^2\right] (x^6 +4)\\\\=2x^4(x^3 -2)(x^3 +2)(x^6 +4)](https://tex.z-dn.net/?f=~~~2x%5E%7B16%7D%20-%2032x%5E4%5C%5C%5C%5C%20%3D%202x%5E4%28x%5E%7B12%7D%20-16%29%5C%5C%5C%5C%3D2x%5E4%5Cleft%5B%28x%5E6%29%5E2%20-%204%5E2%20%5Cright%5D%5C%5C%5C%5C%3D2x%5E4%28x%5E6%20-4%29%28x%5E6%20%2B4%29~~~~~~~~~~~~~~~~~~%3B%5Ba%5E2%20-b%5E2%20%3D%20%28a%2Bb%29%28a-b%29%5D%5C%5C%5C%5C%3D2x%5E4%5Cleft%5B%28x%5E3%29%5E2%20-%202%5E2%5Cright%5D%20%28x%5E6%20%2B4%29%5C%5C%5C%5C%3D2x%5E4%28x%5E3%20-2%29%28x%5E3%20%2B2%29%28x%5E6%20%2B4%29)
Let x be the angle. The complement is 3x + 10. The sum of two complementary angles is 90. So,
x + 3x + 10 = 90
4x + 10 = 90
4x = 80
x = 20
Plug x into the complement
3(20) + 10 = 70
The angle is 20 degrees and the complement is 70 degrees
Answer:
the 2nd option is correct.
Step-by-step explanation:
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