A cone has a volume of 100 cubic inches and base area of 25 square inches. Malik is making a square prism that has three times the volume of the cone. The base of the prism has twice the area of the base of the cone. Select all that apply.

A The height of the cone is 12 inches

B The radius of the base of the cone is 5/π (pi) inches

C The side length of the base of the prism is 10 inches

D The height of the cone is twice the height of the prism

E The height of the cone is equal to the height of the prism

F The diameter of the base of the cone equals the side length of the base of the prism

F The diameter of the base of the cone equals the side length of the base of the prism

Step-by-step explanation:

Given that the

volume = 100 cubic inches and base area = 25 square inches

The base area of a cone is the area of a circle

Area = π r^2

25 = 3.143 r^2

r ^2 = 25/3.143

r = sqrt (7.954)

r = 2.8

Volume = area × height

Height = volume/area

Height = 100/25 = 4 inches

Given that the prism has three times the volume of the cone.

Prism volume = 3 × 100 = 300

Cube root of 300 = 6.69 inches

i can

step-by-step explanation:

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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