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hjlf
3 years ago
6

If the area of a rectangle is x^2+7x+12, what is the expression for the perimeter?

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
3 0

Length = 13 = (x + 3)

Width = 14 = (x + 4)

x2 + 7x + 12 = area of the rectangle

can be factored into

(x + 3)(x + 4)

Let L = one of the factors (x + 3)

Let W = the other factor (x + 4)

If x = 10 then

(10 + 3) = 13 = L

(10 + 4) = 14 = W

Checking this can be checked a couple of ways

Plug x = 10 into the original equation

x2 + 7x + 12

102 + 7(10) 12 = 100 + 70 + 12 = 182 = Area

Multiplty the factors

L x W = 13 x 14 = 182 = Area

I hope you find this useful if you have any questions please send me a message.

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3 years ago
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masya89 [10]

Using the volumes, it is found that you spend more water taking a bath.

<h3>What is the volume of a rectangular prism?</h3>

The volume of a rectangular prism of length l, width w and height h is given by:

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For this problem, the dimensions of the tub are as follows:

l = 6, w = 3, h = 2.6.

You use half of that, hence:

V = 0.5 x 6 x 3 x 2.6 = 23.4 feet³.

For the bath, the number of cubic feet is:

1.42 x 11/7.5 = 2.08 feet³.

Hence you spend more water taking a bath, as 23.4 > 2.08.

More can be learned about the volume of a rectangular prism at brainly.com/question/17223528

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4 0
2 years ago
O<br> ZA<br> Round your answer to the nearest hundredth.<br> 8<br> с<br> B<br> ?<br> 2<br> А
almond37 [142]

Answer:

75.96 Degrees

Step-by-step explanation:

Use the trigonometric functions of Sine Cosine and Tangent

(SOH CAH TOA)

The unknown angle is near the adjacent side of 2 and the opposite side of 8

Therefore you use the Tangent function

However, since it's the angle that needs to be found, you need to use Arc Tangent (The inverse operation)

Unknown Angle = ArcTan (8 / 2)

Unknown Angle = 75.96 Degrees

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On my calculator I have to click shift then click the tan function to access this it may be different on yours

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3 years ago
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ddd [48]
I believe the answerer is C
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4 years ago
Read 2 more answers
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