ANSWER:
A. 6
STEP-BY-STEP EXPLANATION:
We have the following expression;
Now, to the value of N we apply the cube root and we are left with the following:
![\begin{gathered} \sqrt[3]{N}=\sqrt[3]{2^6\cdot5^{12}}=2^{\frac{6}{3}}\cdot5^{\frac{12}{3}}=2^2\cdot5^4 \\ \\ \text{ Therefore, a = 2 and b = 4} \\ \\ \text{ so, we replacing} \\ \\ a+b=2+4=6 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Csqrt%5B3%5D%7BN%7D%3D%5Csqrt%5B3%5D%7B2%5E6%5Ccdot5%5E%7B12%7D%7D%3D2%5E%7B%5Cfrac%7B6%7D%7B3%7D%7D%5Ccdot5%5E%7B%5Cfrac%7B12%7D%7B3%7D%7D%3D2%5E2%5Ccdot5%5E4%20%5C%5C%20%20%5C%5C%20%5Ctext%7B%20Therefore%2C%20a%20%3D%202%20and%20b%20%3D%204%7D%20%5C%5C%20%20%5C%5C%20%5Ctext%7B%20so%2C%20we%20replacing%7D%20%5C%5C%20%20%5C%5C%20a%2Bb%3D2%2B4%3D6%20%5Cend%7Bgathered%7D)
This means that the correct answer is A. 6
Given the radius, circumference can be solved by the equation, C = 2πr. The circumference of the circle above is C = 2π(8 in) = 16<span>π in. To solve for the length of the segment joining the arc is the circumference times the ratio of central angle and 360 degrees.
Length of the segment = (16</span>π in)(60/360) = 8/3 <span>π in
Thus, the length of the segment is approximately 8.36 in. </span>
Step-by-step explanation:
y - y = 2x + 150 -( - 8x - 30 )
0 = 2 x + 150 + 8 x + 30
0.= 10x + 180
- 180 = 10 x
-180/10 = x
-18 = x
then y = 2 (-18) + 150
y = -36 + 150
y = 114
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Answer:
I also think its A.
Step-by-step explanation:
10y + 40- 4y
(10y-4y)+40
6y+40
