3 years ago

If 4 times the sum of a number and 3 is six less than twice the number, what is the number?

Mathematics

1 answer:

Nat2105 [25]3 years ago

3 0

Answer:

-9

Step-by-step explanation:

4(n + 3) = 2n - 6

4n + 12 = 2n - 6

2n = -18

n = -9

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The surface area of a pyramid is 327 square meters. what is the surface area of a similar pyramid that is smaller by a scale fac

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Answer:

$\boxed{\text{144.33 m}^{2}}$

Step-by-step explanation:

The scale factor (C) is the ratio of corresponding parts of the two pyramids.

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$\dfrac{A_{1}}{ A_{2}} = C^{2}\\\\\dfrac{\text{327 m}^{2}}{A_{2}} = \left (\dfrac{1}{\frac{2}{3}}\right)^{2}\\\\ \dfrac{\text{327 m}^{2}}{A_{2}}= \dfrac{9}{4}\\\\\text{1308 m}^{2}= 9A_{2}\\\\A_{2} = \text{145.33 m}^{2}\\\text{The surface area of the smaller pyramid is \boxed{\text{145.33 m}^{2}}}$