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snow_tiger [21]
2 years ago
10

HELP WITH THIS PLEASE

Mathematics
1 answer:
Flauer [41]2 years ago
7 0

Step-by-step explanation:

1a.

(2 {p}^{2} )^{3}  =  {2}^{3} {p}^{6}  = 2p \times 2p\times 2p\times p\times p\times p

(2p^2)^3 without exponents will represent 2p being multiplied by 2p 2 times and by p 3 times.

<u>1b. Solve:</u>

<u>Include exponent outside parenthese:</u>

<u>{2}^{3} {p}^{2 \times 3}</u>

8 {p}^{6}

8p^6 is your answer for part B.

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We need to determine the height here, as it is not given, and is quite important to us. The height is a perpendicular line segment to the radius, hence forming a 45 - 45 - 90 degree triangle as you can see. Therefore, by " Converse to Base Angles Theorem " the height should be equal in length to the radius,

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The lateral area is simply the surface area excluding the base area, the surface area having a formula of " πr^2 + πrl. " Thus, the lateral area can be calculated through the formula " πrl, " but as we are not given the slant height ( l ) we have to use another formula, l= \sqrt{r^2+h^2} -

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