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makvit [3.9K]
3 years ago
11

4 in.

Mathematics
1 answer:
sleet_krkn [62]3 years ago
4 0

Answer:

305.12 square inches

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The area of the window is equal to the area of a rectangle, plus the area of two quarter circles plus the area of the smaller square between the two upper corners

so

Find the area of rectangle

A=(12)(26-4)=264\ in^2

Find the area of the two quarter circle

A=2[\frac{1}{4}(3.14)(4^2)]

A=25.12\ in^2

Find the area of the smaller square between the two upper corners

A=(12-8)(4)=4^2=16\ in^2

The total area is equal to

A=264+25.12+16=305.12\ in^2

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find the coordinates of point Z that splits the segment XY located 3/7 of the way between X(-2,1) and Y(4,5)
Drupady [299]

Answer:

Z(-0.2, 2.2).

Step-by-step explanation:

We will use section formula when a point, say P, divides any segment ,say AB, internally in the ratio m:n.

[x=\frac{mx_2+nx_1}{m+n}, y= \frac{my_2+ny_1}{m+n}]

We have been given the points of segment XY as X at (-2,1) and Y at (4,5) and ratio is 3:7.

(x_1, y_1)=(-2,1)

(x_2, y_2)=(4,5)  

m:n=3:7    

Upon substituting coordinates of our given points in section formula we will get,

[x=\frac{(3*4)+(7*-2)}{3+7}, y= \frac{3*5+7*1}{3+7}]

[x=\frac{12-14}{10}, y= \frac{15+7}{10}]

[x=\frac{-2}{10}, y= \frac{22}{10}]

[x=-0.2, y= 2.2]

Therefore, coordinates of point Z will be (-0.2, 2.2).

7 0
3 years ago
The polygons are similar. The area of one polygon is given. Find the area of the other polygon.
kap26 [50]

Answer:

90 cm²

Step-by-step explanation:

Given that both triangles are similar, it follows that the ratio of their area equals the square of their corresponding sides.

Let the area of the other triangle be x. Therefore:

\frac{10}{x} = \frac{4^2}{12^2}

\frac{10}{x} = \frac{16}{144}

Cross multiply

10*144 = 16*x

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Divide both sides by 16

90 = x

Area of the other polygon = 90 cm²

4 0
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anyanavicka [17]
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Base area x Height
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