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polet [3.4K]
2 years ago
13

A ballasted roof is flat and covered with gravel to hold the roofing material in place. Adam plans to cover the roof in the diag

ram with gravel.
30 ft.
21 ft.
13 ft.
57 ft.
27 ft.
52 ft.
The area that Adam plans to cover with gravel is
weight of gravel on the roof will be
If the weight of the gravel is 12 pounds per square foot, the total
ling
2,702 square feet
Next
2,374 square feet
2,222 square feet
2,031 square feet

Mathematics
1 answer:
Yuri [45]2 years ago
5 0

Answer:

Area = 2,031ft^2

Total weight of gravel on the roof = 24,372 pounds

Step-by-step Explanation:

The area Adams planned to cover with gravel can be divided into 3 rectangles as shown in the diagram attached.

We would have 3 rectangles. See the attachment below to check out how we arrive at the dimensions of the 3 rectangles.

Area of rectangle = L*W

Area to be covered by gravel = area of rectangle 1 + area of rectangle 2 + area of rectangle 3

Area to be covered with gravel = (30*17) + (13*9) + (52*27)

Area = (30*17) + (13*9) + (52*27) = 2,031ft^2

Total weight of gravel on the roof = 12 pounds per square foot multiplied by total area of the roof to be covered = 12 * 2031 = 24,372 pounds

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2 years ago
Two friends went rowing on the river. They first traveled with current for 3 hours. The way back took them 4 hours and 48 minute
kaheart [24]

Answer:

1.5 mph

Step-by-step explanation:

Let speed of boat be x

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Also, note D = RT

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R is rate

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(x+c)3 = D

And for second leg , we can write:

(x-c)4.8 = D  [note 4 hour 48 minutes is 4.8 hours]

We can equate both D's to get:

(x+c)3 = (x-c)4.8

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3 0
2 years ago
Read 2 more answers
The sport of korfball is played by teams of eight players. Each team has fourmen and four women on it. Halliday High School has
Alex Ar [27]

Answer:

There are 11550 possible selections

Step-by-step explanation:

Given

Men = 7

Women = 11

Required

How many ways can 4 men and 4 women be selected

The keyword in the question is SELECTION and it means COMBINATION;

So, number of selection is:

Number = Men * Women

Number = ^7C_4 * ^{11}C_4

This gives

Number = \frac{7!}{(7-4)!4!} * \frac{11!}{(11-4)!4!}

Number = \frac{7!}{3!4!} * \frac{11!}{7!4!}

Number = \frac{7 * 6 * 5 * 4!}{3!4!} * \frac{11 * 10 * 9 * 8 * 7!}{7!4!}

Number = \frac{7 * 6 * 5}{3!} * \frac{11 * 10 * 9 * 8}{4!}

Number = \frac{7 * 6 * 5}{3 * 2 * 1} * \frac{11 * 10 * 9 * 8}{4 * 3 * 2 * 1}

Number = \frac{7 * 6 * 5}{6} * \frac{11 * 10 * 9 * 8}{4 * 3 * 2 * 1}

Number = 7 * 5 * \frac{11 * 10 * 9 * 8}{4 * 3 * 2 * 1}

Number = 7 * 5 * \frac{7920}{24}

Number = 7 * 5 * 330

Number = 11550

Hence;

<em>There are 11550 possible selections</em>

6 0
2 years ago
Fran graphs the equations y = 2x2 – 2 and y = –0.5x + 4. Her graph is shown below. mc010-1.jpg Which value is an approximate sol
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3 0
2 years ago
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Shtirlitz [24]

Answer:

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Step-by-step explanation:

Given information:

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Radius of base of the cylinder = 6 in.

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Substitute the given values in the above formula.

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Therefore, the volume of cylinder is 1356.5 cubic inches.

8 0
2 years ago
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