Two cones are similar. the surface area of the larger cone is 65π square inches. the surface area of the smaller cone is 41.6π square inches. the radius of the smaller cone is 6.4 inches. what is the radius of the larger cone?
8 inches
10 inches
11.52 inches
14.4 inches

Step

Find the scale factor

we know that

in this problem we have

Substitute the values

Step

Find the radius of the larger cone

we know that

in this problem we have

substitute

therefore

the answer is

the radius of the larger cone is

yes the total will be same because in both of them the expression.is rearranged but their sign remains the same hence it hss just been shuffled

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)