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andreyandreev [35.5K]
3 years ago
10

Please help and explain your answer really need the help

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
7 0
The lateral area of the pyramid is half the product of the perimeter and the slant height.
  A = (1/2)Ph
  A = (1/2)*(4*40 ft)*(18 ft) = 1440 ft²

This is 14.4×(100 ft²), so is 14.4 squares. Since 3 bundles are needed for each square of roof, Lourdes needs 14.4×3 = 43.2 bundles.

Lourdes should buy 44 bundles of shingles to cover the roof.

_____
43 bundles is not enough.
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Find the area of the right triangle △DEF with the points D (0, 0), E (1, 1), and F.
Tems11 [23]

Answer:

The area of the triangle is  \sqrt{3}

Step-by-step explanation:

Given:

Coordinates D (0, 0), E (1, 1)

Angle  ∠DEF = 60°

△DEF is a Right triangle

To Find:

The area of the triangle

Solution:

The area of the triangle is  = \frac{1}{2}(base \times height)

Here the base is Distance between D and E

calculation the distance using the distance formula, we get

DE  = \sqrt{(0-1)^2 + (0-1)^2}

DE =\sqrt{(-1) ^2 + (-1)^2

DE = \sqrt{1+1}

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Height is DF

DF =tan(60^{\circ}) \times DE

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DF = \sqrt{3} \times\sqrt{2}

Now, the area of the triangle is

= \frac{1}{2}({\sqrt{2})(\sqrt{3} \times \sqrt{2})

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=\sqrt{3}

6 0
3 years ago
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