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The amount of fabric in inches Felicia need to make the actual shape for the comforter is 660 in²
<h3>What is a trapezoid?</h3>It is defined as the quadrilateral having four sides in which two sides are parallel to each other, it is a 2-dimensional geometry.
We have a trapezoid in the picture shown with dimensions.
We know the area of the trapezoid is given by:
Here a = 15 cm, b = 22 cm and h = 11 cm
A = 203.5 square cm
To make the square from the trapezoid, Felicia needs to cut two triangles from the both end, as shown in the figure.
The height of the triangle = 11 cm
And base length = (22-15)/2 = 3.5 cm
The area of the triangle = (11×3.5)/2 = 19.25 square cm
Area of the two triangles = 2×19.25 = 38.5 square cm
Now the amount of fabric = 203.5 - 38.5 = 165 square cm
As the scale is given 1 cm = 2 in
1 cm ² = 4 in²
So, the amount of fabric in inches = 165×4 = 660 in²
Thus, the amount of fabric in inches Felicia need to make the actual shape for the comforter is 660 in²
Learn more about the trapezoid here:
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Answer:
Step-by-step explanation:
Start by determining the simpler angle (or, the complement of the highlighted angle in red on your image). The cosine of that angle is
Now, back to the actual red-circled angle. That one is going in the negative direction and ends up in the same position on the unit circle. Since cosine is an even function, its value is the same whether you evaluate at an angle theta, or its complement 2pi-theta. So, the final answer is: