If x + sin^2 theta + cos^2 theta = 4, then what is the value of x?
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Answer:
392.5 in²
Step-by-step explanation:
This figure is consists of a trapezium and a rectangle.
So, to find the total area of the figure you have to find the area of the trapezium and the rectangle separately and add them together.
Let us find now.
<u>Area of the Trapezium</u>
Area = × ( sum of the parallel sides ) × height
Area = × ( 9 + 20 ) × 5
Area = × 29 × 5
Area = × 145
Area = 72.5 in²
<u>Area of the rectangle</u>
Area = Length × Width
Area = 20 × 16
Area = 320 in²
<u>Total area of the figure</u>
Total area = Area of the trapezium + Area of the rectangle
Total area = 72.5 in² + 320 in²
Total area = 392.5 in²
Hope this helps you :-)
Let me know if you have any other questions :-)
Let be the measure of the angle in question. Its complement has measure
. We're told that this angle is congruent to 1/3 of its complement, so that