Answer:
The graph above indicates that 1. Starts by drifting far away from the starting point (0,0), Then 2. Stays the same pace but still away from the starting point, finally 3. Starts coming toward the starting point and getting closer again.
Step-by-step explanation:
Your going to want to first distribute the negative out to the second equation
65x+50y-16x+21y
49x+71y
The area of the shaded region is 8.1838. The area of the shaded region is calculated by subtracting the area of the triangle from the area of the sector of the circle.
<h3>How to calculate the area of the sector?</h3>
The area of the sector of a circle with a radius 'r' and an angle of sector 'θ' is
A = (θ/360) πr² sq. units
<h3>How to calculate the area of a triangle with an angle?</h3>
The area of the triangle with measures of two sides and an angle between them is
A = 1/2 × a × b × sinC sq. units
Where a and b are the lengths of sides and ∠C is the angle between those sides.
<h3>Calculation:</h3>
It is given that,
The area of the sector shown in the diagram is 78.6794 cm² and the area of the triangle is 70.4956 cm².
Then to calculate the area of the shaded region, subtract the area of the sector and the area of the triangle. I.e.,
Area of the shaded region = Area of the sector - Area of the triangle
⇒ 78.6794 - 70.4956
⇒ 8.1838 cm²
Therefore, the required area of the shaded region is 8.1838 sq. cm.
Learn more about the area of a sector here:
brainly.com/question/22972014
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To find the area of a prism, you calculate the area of the cross-section and multiply that number by the length. The cross-section of this prism is a trapezium, and the formula for this is

.
Insert your given numbers to find out the area of this prism's cross-section:

Now, multiply 90 by the length, 10cm, to find out the volume of the prism;
90×10=900cm³
Therefore, your answer id the third option.
Just ask google ot will halp you better but i think its -48