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Vanyuwa [196]
3 years ago
8

Please help with this question!!!

Mathematics
1 answer:
marin [14]3 years ago
7 0

Answer:

length: 12 ft

area: 72 square feet

Step-by-step explanation:

Let L represent the length of the mat in feet. Then L/2 is the width and the perimeter is ...

P = 36 = 2(L +L/2) = 3L . . . . . substitute the given information and simplify

12 = L . . . . . . divide by 3

The length of the mat is 12 ft.

__

The width of the mat is L/2 = 6 ft, and the area is the product of length and width.

Area = (12 ft)(6 ft) = 72 ft^2

The area of the mat is 72 square feet.

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8 0
3 years ago
3. The area of a rectangular deck, in square meters, is given by the polynomial 40p2 + 24p.
lorasvet [3.4K]

Answer:

Length = 5p + 3

Perimeter = 26p + 6

Step-by-step explanation:

Given

Area = 40p² + 24p

Width = 8p

Solving for the length of deck

Given that the deck is rectangular in shape.

The area will be calculated as thus;

Area = Length * Width

Substitute 40p² + 24p and 8p for Area and Width respectively

The formula becomes

40p² + 24p = Length * 8p

Factorize both sides

p(40p + 24) = Length * 8 * p

Divide both sides by P

40p + 24 = Length * 8

Factorize both sides, again

8(5p + 3) = Length * 8

Multiply both sides by ⅛

⅛ * 8(5p + 3) = Length * 8 * ⅛

5p + 3 = Length

Length = 5p + 3

Solving for the perimeter of the deck

The perimeter of the deck is calculated as thus

Perimeter = 2(Length + Width)

Substitute 5p + 3 and 8p for Length and Width, respectively.

Perimeter = 2(5p + 3 + 8p)

Perimeter = 2(5p + 8p + 3)

Perimeter = 2(13p + 3)

Open bracket

Perimeter = 2 * 13p + 2 * 3

Perimeter = 26p + 6

4 0
4 years ago
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beks73 [17]

Answer:

x = 12

Step-by-step explanation:

Using the Pythagorean theorem where c = 13, and b = 5, we get (a = x):

a^2 + 5^2 = 13^2

Solving for a:

a^2 = 13^2-5^2

a =\sqrt{13^2-5^2}   = \sqrt{144}=12

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Answer:

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Step-by-step explanation:

42 minutes divided by 7 miles makes 6 minutes per mile

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