The figure shown consists of a rectangle and quarter circle. 7.5 ft 5.5 ft What is the approximate area of the figure? Use the ri button on your calculator and round to the nearest hundredth. Include the appropriate unit in your answer ​

 65.01 square feet (approximate)

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Explanation:

The area of the rectangle is base*height = 7.5*5.5 = 41.25 square feet.

The quarter circle has the radius of 5.5 ft.

Consider a full circle with this same radius. The full circle would have area of

A = pi*r^2 = pi*(5.5)^2 = 30.25pi = 95.0331777710912

This value is approximate. The units are in square feet.

We don't want the full circle's area, but instead just a quarter of that. So we'll multiply by 1/4 = 0.25 to get

0.25*95.0331777710912 = 23.7582944427728

The area of the quarter circle is roughly 23.7582944427728 square feet.

The last step is to add the rectangle and quarter circle areas to get

41.25+23.7582944427728 = 65.0082944427728

This rounds to 65.01 when rounding to the nearest hundredth.

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If we wanted to do this in all one step, we could say

5.5*7.5 + 0.25*pi*(5.5)^2 = 65.0082944427729

which rounds to 65.01

The units of the answer are in square feet, in which we could write ft^2 or as shorthand.

step-by-step explanation:

i believe its "c" because all of the other options include a but it could be d because there is a way of financing with cash at certain places but its uncommon.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is