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IrinaVladis [17]
2 years ago
10

Helpp nowww 25 points

Mathematics
2 answers:
yan [13]2 years ago
8 0

Answer: 210

Step-by-step explanation:

fgiga [73]2 years ago
4 0

Answer: Surface area = 197 in²

Step-by-step explanation:

To determine the surface area of the solid shown in the diagram, we would first determine the area of the different faces.

1) It has 2 trapezoidal faces at the front and opposite end, the formula for determining the area of a trapezoid is expressed as

Area = (a + b)h/2

a and b are the length of the bases while h is the height of the trapezoid.

Area of trapezoid = (5 + 9)5/2 = 35 in²

Area of the trapezoid at the opposite end = 35 in²

2) Area of base = 9 × 5 = 45 in²

3) Area of top = 5 × 5 = 25 in²

4) Area of slant face = 6.4 × 5 = 32 in²

5) Area of back = 5 × 5 = 25in²

Surface area of the design is the sum of the area of its faces. It becomes

35 + 35 + 45 + 25 + 32 + 25 = 197in²

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So in order for us to know the area of the square that is not covered by the circle, we need to find first both the areas of the square and the circle.
So for the area of the square it is A = sxs. And for the circle is A = pi*r^2.
Let us find the area of the square first given that the side is 3 inches.
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Next is the area of the circle. Since the center of the circle is the same with the center of the square, the radius would be 1.5.
SO, A = (3.14)(1.5)^2
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2 years ago
Rectangle ABCD is similar to rectangle WXYZ. If the area of rectangle ABCD is 70 square inches, AD is 10 inches, and XY is 5 inc
rodikova [14]

Answer: The area of rectangle WXYZ is 18 square inches

Step-by-step explanation: Since both rectangles are similar, then lines AD and BC has a common ratio with lines WZ and XY. If line line AD is 10 inches, and line XY is 5 inches, then the ratio of similarity is given as

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Ratio = 2/1 (or 2:1)

However rectangle ABCD has its area as 70 square inches, which means the other side is given as

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70/10 = W

7 = W

Therefore the width of the other rectangle is determined as,

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Having calculated the width of the other rectangle as 3.5, the area is now determined as

Area = L x W

Area = 5 x 3

Area = 17.5

Rounded off to the nearest integer, the area equals 18 square inches

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