Which expression represents the volume of the square pyramid shown? a) 7x + 8 b) 3x3 + 24x2 c) 9x3 + 72x2 d) 9x2 + x + 15

  B)3x^3 + 24x^2

Step-by-step explanation:

The volume of a pyramid is 1/3 the product of the base area and the height. The base is square, so its area is the square of the side dimension.

  V = (1/3)(3x)^2(x+8) = 3x^2(x +8)

  V = 3x^3 +24x . . . . . matches B

e) none of the above because the measure of angle cba is 101°

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1