12) Two hexagonal pyramids are similar. The perimeters of the pyramids are 36 inches and 30 inches. If the volume of the larger pyramid is 64873 in what is the volume of the smaller
pyramid?
Please help me:)

54061 in³

Step-by-step explanation:

Using proportion

Perimeter of smaller pyramid/ Perimeter of Larger pyramid = volume of smaller pyramid/ volume of Larger pyramid

30/36 = x/64873

Cross Mulitiply

36 × x = 64873 × 30

x = 64873 × 30/36

x = 54060.833333 in³

Approximately = 54061 in³

Therefore, the volume of the smaller pyramid is 54061 in³

geometry: triangles

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answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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