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AnnZ [28]
3 years ago
7

Janice needs to re-shingle the roof of her house. One bundle of shingles costs $35.99 and covers 2.25 m2.

Mathematics
1 answer:
larisa [96]3 years ago
7 0
To calculate the number of shingles, we first calculate for the total area of the roof of Janice's house. From the figure, we can calculate the area of the two shapes: pyramid and a rectangular prism.

A(pyramid) = lw+l√[(w/2)²+h²]+w√[(l/2)²+h²]
A = 208 m²
A(prism) = 2(wl+hl+hw)
A = 293 m²

Total area = 501 m²

Number of shingles she needs = 501 m² / 2.25 m² =<span> 223</span><span>
</span>
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Step-by-step explanation:

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<em>See the attached.</em>

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Dilate rectangle
NARA [144]

Answer:

The coordinates of the points of the rectangle A'B'C'D' are;

The coordinates of the point A' = (-2, -1)

The coordinates of the point B' = (-2, 1)

The coordinates of the point C' = (2, 1)

The coordinates of the point D' = (2, -1)

Step-by-step explanation:

Placing the point P as the origin of the chart, we have;

The coordinates of the points are given as follows;

The coordinates of the point B = (-4, 2)

The coordinates of the point C = (4, 2)

The coordinates of the point A = (-4, -2)

The coordinates of the point D = (4, -2)

Given that the sides are parallel to the axis, we have;

The length of the segment AB = 2  - (-2) = 4

The length of the segment BC = 4  - (-4) = 8

The length of the segment CD = 2  - (-2) = 4

The length of the segment AD = 4  - (-4) = 8

Therefore, a dilation by 1/2 will give;

The length of the segment A'B' = AB/2 = 4/2 = 2

The length of the segment B'C' = BC/2 = 8/2 = 4

The length of the segment C'D' = CD/2 = 4/2 = 2

The length of the segment A'D' = AD/2 = 8/2 = 4

The coordinates of the point A' = The coordinates of the point A/2 = (-4, -2)/2 = (-2, -1)

The coordinates of the point A' = (-2, -1)

The coordinates of the point B' = The coordinates of the point B/2 = (-4, 2)/2 = (-2, 1)

The coordinates of the point B' = (-2, 1)

The coordinates of the point C' = The coordinates of the point C/2 = (4, 2)/2 = (2, 1)

The coordinates of the point C' = (2, 1)

The coordinates of the point D' = The coordinates of the point D/2 = (4, -2)/2 = (2, -1)

The coordinates of the point D' = (2, -1).

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Answer:

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Step-by-step explanation:

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