A bakery offers a small circular cake with a diameter of 6 inches. It also offers a large circular cake with a diameter of 18 inches. Complete the explanation for wether the top of the large cake has three times the area that of the small cake.

The area of the top of the large cake is pie in2 and that of the small cake is pie in2. The top of the cake has an area equal to times that of the small cake.

The area of the top of the large cake is 254.34 in2 and the small cake is 28.26 in2. The top of the large cake has an area equal to 9 times that of the small cake.

Step-by-step explanation:

Area of a circle is TTr^2 (TT is pi).

Large cake: 3.14x9^2=254.34

Small cake: 3.14x3^2=28.26

254.34/28.26=9

Step-by-step explanation:

Find the area of the small cake in terms of π.

A=πr2                       Use the formula.

A=π(3)2                    Substitute. Use 3 for r.

A=π × 9               Evaluate the power.

Find the area of the top of the large cake in terms of π.

A=πr2                        Use the formula.

A=π(9)2                     Substitute. Use 9 for r.

A=π × 81                 Evaluate the power.

Find how much larger the area of the top of the large cake is compared to the area of the small cake.

81π ÷ 9π=9

0.6

39mph

step-by-step explanation:

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)