CAN SOMEONE PLEASE HELP ME???
2 answers:
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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:
128.86 cm^2
Step-by-step explanation:
So to start off we need to find the area of the rectangle.
The formula for the area of a rectangle is ×
.
L stands for the length which is 12 and w is the width which is 11.
So 11 × 12 = 132 cm^2.
Now time for the area of a circle.
The formula for that is .
So first we need to do 1 × 1 which is 1.
Then 1 × which is just
.
Then we do 132 - which is an irrational number.
It looks like this shortened 128.858407346.
Now rounding to the nearest hundreth it would be 128.86 cm^2.
Hence, the area of the shaded region is 128.86 cm^2.
Hi there!
To solve, we can use right triangle trigonometry.
Recall that:
sin = O/H, cos = A/H, tan = O/A.
For angle G, HF is its OPPOSITE side, and FG is the hypotenuse.
Therefore, we must use sine to evaluate:
sinG = 14 / 17
sin⁻¹ (14/17) = ∠G. Evaluate using a calculator.
∠G ≈ 55.44°