Let r(cos O + i sin O) be a cube root of 125(cos 288 + i sin 288)
then
r^3(cos O + i sin O)^3 = 125(cos 288 + i sin 28)
so r^3 = 125 and cos 3O + i sin 3O = cos 288 + i sin 288
so r = 5 and 3O = 288 + 360p and O = 96 + 120p
so one cube root is 5 (cos 96 + i sin 96)
Im a little rusty at this stuff Its been a long time.
Im not sure of the other 2 roots
sorry cant help you any more
Answer:
Yellow and purple
Step-by-step explanation:
9514 1404 393
Answer:
B. 32 square inches
Step-by-step explanation:
Each of the two triangular faces has an area of ...
A = (1/2)bh = (1//2)(6 in)(4 in) = 12 in²
The lateral surface area is the product of the prism height (0.5 in) and the perimeter of the base.
LA = (0.5 in)(5 in +5 in + 6 in) = 8 in²
So, the total area is the area of the two base and the lateral area:
SA = 2A +LA
SA = 2(12 in²) +8 in² = 32 in²
The surface area of the prism is 32 square inches.
<em>x equals 22</em>
<h2>
Explanation:</h2>
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The Segment Postulate states the following:
<em>Given two end points A and B, a third point C lines on the segment AB if and only if the distances between the points satisfy the equation:</em>
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From the figure:
Our goal is to find x:
<h2>Learn more:</h2>
Dilation: brainly.com/question/2501119
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Answer:
21 h^10
Step-by-step explanation:
(7h^3)(3h^7)
Lets multiply
7*3 h^3 h^7
When the bases are the same , we add the exponents (x^a * x^b) = x ^ (a+b)
21 h^(3+7)
21 h^10
