Indra baked and frosted a rectangular cake to sell at a bake sale for the model un club. the cake, including frosting, was 4 inches high, 16 inches wide, and 12 inches long. she centered the cake on a circular tray. the circular tray had a radius of 10 inches. what is the area, to the nearest square inch, of the tray that is not covered by the cake?
a. 100
b. 114
c. 122
d. 314
e. 192

C. 122

Step-by-step explanation:

Given,

Dimension of the cake:

Length = 12 in      Width = 16 in      Height = 4 in

We have to find out the area of the tray that is not covered by the cake.

Indra centered the cake on a circular tray.

Radius of the tray = 10 in.

So area of the tray is equal to π times square of the radius.

Framing in equation form, we get;

Area of tray =

Since the cake is placed in circular tray.

That means only base area of cake has covered the tray.

Base Area of cake =

Area of the tray that is not covered by the cake is calculated by subtracting area of base of cake from area of circular tray.

We can frame it in equation form as;

Area of the tray that is not covered by the cake = Area of tray - Base Area of cake

Area of the tray that is not covered by the cake =

Hence The area of the tray that is not covered by the cake is 122 sq. in.

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11 -1> 1 -1+ a

-12 > a

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

step-by-step explanation: