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kogti [31]
3 years ago
13

A rectangular hotel room is 4 yards by 5 yards. The owner of the hotel wants to recarpet the room with carpet that costs $51.92

per square yard. How much will it cost to recarpet the room?​
Mathematics
1 answer:
Sphinxa [80]3 years ago
7 0

Answer:

it will cost him $2204 to recarpet the room.

Step-by-step explanation:

The floor of the room is rectangular. The formula for determining the area of a rectangle is expressed as

Area = length × width

The rectangular hotel room is 4 yards by 7 yards. It means that the area of the rectangular floor would be

Area = 4 × 7 = 28 square yard.

If the cost of the carpet $58.00 per square yard, the total that it will cost to recarpet the room would be

38 × 58.00 = $2204

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sasho [114]

*see attachment for the figure described

Answer:

5 units

Step-by-step explanation:

==>Given the figure attached below, let where FH and EG intercepted be K.

Since FH are midpoints of parallel lines, KE = KG = x.

Given that the area of the kite EFGH = 35 square units, and we know the length of one of the diagonals = HF = KF + KH = 2 + 5 = 7, we can solve for x using the formula for the area of a kite.

Area of kite = ½ × d1 × d2

Where d1 = KH = 7

d2 = EG = KE + KG = x + x = 2x

Area of kite EFGH = 35

THUS:

35 = ½ × 7 × 2x

35 = 1 × 7 × x

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35/7 = x

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9. If it takes Joel 30 seconds to install each
DaniilM [7]

Answer:

20

Step-by-step explanation:

Since we have given that

Dimensions of a triangle he has to use for fencing are

15 feet, 8 feet, and 20 feet.

1) For making it a right triangle it must satisfy the "Pythagoras theorem" which states that

H^{2} = B^{2} + P^{2}

20^{2} = 15 + 8^{2}

400 \neq  225 + 64

400 \neq 289

No, it will not be able to make a right triangle.

2) Joel cut the longest piece of wood in order to make a right triangle.

So, from above we get that

\sqrt{} 289 = 17 feet

So, the longest side must be 17 feet.

It takes him 30 seconds to install each foot of fencing,

The total perimeter of fencing will be

17 + 15 + 8 = 40 feet

So, for 1 foot he needs = 30 seconds

For 40 feet, he will need

40 × 30 = 1,200 seconds

1200/600 = 20 minutes

Hence, he needs 20 minutes to install all of the fences.

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3 years ago
Apply the distributive property to factor out the greatest common factor. 14k + 35
tino4ka555 [31]

Answer:

7\left(2k+5\right)

Step-by-step explanation:

14k+35

35=7*5

14=7*2

7\left(2k+5\right)

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