Answer:
6.0 square feet
Step-by-step explanation:
6 ÷ 2 = 3(radius)
are of the damaged section = x
77/360 = x/3²π
=> x = 77 × 9π ÷ 360 = 6.0445 <= 6.0 square feet is the closest to this number
There are additional details to the problem that you have left out. I have found them in other resources. The tray has to be 3 centimeters high and the length is five centimeters longer than its width. The volume of the tray is 252 cubic centimeters.
With these given, we can find the equation with the width alone as the variable:



To know if it's possible for the width to be 7.5 centimeters, we just plug this as the value of x and see if it satisfies the equation:



As we can see, the equation was not satisfied therefore it is NOT possible for the width to be 7.5 centimeters.
9514 1404 393
Answer:
shaded/square = (50π cm²)/(400 cm²) = π/8
Step-by-step explanation:
The quarter circle has area ...
A = (1/4)(πr²) = π/4(20 cm)² = 100π cm²
The half-circle has area ...
A = (1/2)(πr²) = π/2(10 cm)² = 50π cm²
Then the area of the shaded portion is ...
shaded = 100π cm² -50π cm² = 50π cm²
__
The area of the square is ...
A = s² = (20 cm)² = 400 cm²
Then the ratio of interest is ...
shaded/square = (50π cm²)/(400 cm²) = π/8
Answer:
x=2
y=3
Step-by-step explanation:
x/2+y/3=2 so
3x/6+2y/6=12/6
then multiply by 6
<em>3x+2y=12</em>
equation number 2
x/3+y/2=13/6
2x/6+3y/6=13/6
multiply by 6
<em>2x+3y=13</em>
so the system is now
<em>3x+2y=12</em>
<em>2x+3y=13</em>
<em>from the first equation 2y=12-3x, y=6 - 3x/2</em>
<em>then put y in the second equation</em>
<em>2x+3*(6-3x/2)=13</em>
<em>2x+18-9x/2=13</em>
<em>2x-9x/2=13-18</em>
<em>4x/2-9x/2=-5</em>
<em>-5x/2=-5</em>
<em>*(-1/5) *(-1/5)</em>
<em>x/2=1</em>
<em>*2 *2</em>
<em>x=2</em>
<em>so y=6-3*2/2=6-3</em>
<em>y=3</em>
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3/6 and 9/12 Hope This Helps:)