Norma cut a triangle out of construction paper for an art project. the area of the triangle os 84.5 square centimeters. select the correct values to complete the formula below to find the height of the triangle. (dont do #25 just #24

h = 13

Step-by-step explanation:

Given the area of a triangle as 84.5 .

The correct value to complete the formula to calculate for the height h is 13 .

Area of a triangle = 1/2 b x h

b = base

h = height

Using the above formula

84.5 = 1/2 x 13 x h

84.5 = 13/2 x h

84.5 = 6.5 x h

84.5 = 6.5h

Divide both sides by 6.5 to get h

84.5/6.5 = 6.5h /6.5

13 = h

h = 13

answer: ratio of volume of cone (with 3 times the height and equal diameter) to volume of cylinder is 2 to 1. the value of π is not used.

step-by-step explanation:

radius is diameter/2 = 4.

area of circle is π r^2.

volume of cylinder is height × area of base = hπr^2 = 3(4^2) π = 48π cubic inches.

not knowing the formula for volume of cone, i calculate it using calculus (which is for calculating things).

volume of cone is integral 0 to h area(y) dy. area(y) is π r(y)^2. r(y) runs r to zero as y runs zero to h, r(0) = r, r(h) = 0.

r(y) = r - r/h y

area(y) = π (r - r/h y)^2 = π (r^2 - 2r^2y/h + r^2y^2/h^2) = π r^2(1-2y/h+y^2/h^2)

antiderivative area(y) = π r^2 (y-y^2/h+y^3/(3h^2))

integral 0 to h = π r^2(h-h^2/h+h^3/(3h^2) - (0)) = π r^2(h - h + h/3) = π r^2(h/3) = π/3 r^2 h

volume of this cone is π/3(4^2)18 cubic inches.

= 6 16 π = 96π cubic inches.

cone has twice the volume, 96/48.

cone height is 6 times the cylinder.

ratio of volume formula: π r^2 cancels.

cone over cylinder ratio is 6h/3 to h, 2 to 1.

overpriced

step-by-step explanation: