Construct a circle graph that represents the following data concerning the monthly expenses for a family budget. Category Percent
Housing 35 %
Food 14%
Clothing 17%
Entertainment 12 %
Auto 22%
Find the central angle for housing. If necessary, round to the nearest tenth.

The circle graph is attached.

Step-by-step explanation:

a) Data and Calculations:

Monthly Expenses for a Family Budget

Expenses   Percentage   Degree

Housing            35%        130°  (360° * 35%)

Food                  14%         50°  (360° * 14%)

Clothing            17%          60°  (360° * 17%)

Entertainment  12%          40°  (360° * 12%)

Auto                22%           80°  (360° * 22%)

b) The result shows that Housing expense took more than one-third of the circle with auto expenses occupying the next biggest chunk of the circle.  Clothing came third to occupy one-sixth of the circle, with food and entertainment trailing behind with less than one-sixth of the circle respectively.

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step-by-step explanation:

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,