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2 years ago

the length of a rectangle is 2ft more than twice the width. The area is 180 ft^2. find the length and width of the rectangle

Mathematics

1 answer:

Mariana [72]2 years ago

3 0

Answer:

Area = length * width

112 = (2w+2)*w

112 = 2w^2 + 2w

0 =2w^2 + 2w - 112

0 = w^2 + w - 56

0 = ( w + 8 )( w - 7 )

w+8=0 results in negative measures

w-7=0 --> w = 7

width is 7

length is 16

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The formula s = StartRoot StartFraction S A Over 6 EndFraction EndRoot gives the length of the side, s, of a cube with a surface

never [62]

Answer:

$2\sqrt{2}\ ft\ longer$

Step-by-step explanation:

Area Of A Cube

Suppose a cube with side length s, the area of one side is

$A_s=s^2$

Since the cube has 6 sides, the total area is

$A=6A_s=6s^2$

But if we have the area, we can solve the above formula for s to get

$A=6s^2$

$\displaystyle s=\sqrt{\frac{A}{6}}$

We have two different cubes with areas 1,200 square inches and 768 square inches. Let's compute their side lengths

$\displaystyle s_1=\sqrt{\frac{1,200}{6}}=\sqrt{200}$

$\displaystyle s_1=10\sqrt{2}\ ft$

$\displaystyle s_2=\sqrt{\frac{768}{6}}=\sqrt{128}$

$\displaystyle s_2=8\sqrt{2} ft$

The difference between them is

$10\sqrt{2}\ ft-8\sqrt{2}\ ft=2\sqrt{2}\ ft\approx 2.83\ ft$

The side of the cube with area 1,200 square inches is $2\sqrt{2}\ ft$ longer then the side of the cube with area 768 square inches

7 0

3 years ago

Read 2 more answers

An amusement park studied methods for decreasing the waiting time (minutes) for rides by loading and unloading riders more effic

Digiron [165]

Answer:

see explaination

Step-by-step explanation:

The p-value for Factor A is greater than 0.1

What is your conclusion with respect to Factor A?

Factor A is not significant.

The p-value for Factor B is greater than 0.1

What is your conclusion with respect to Factor B?

Factor B is not significant.

The p-value for the interaction of factors A and B is greater than 0.1

What is your conclusion with respect to the interaction of Factors A and B?

The interaction of Factors A and B is not significant.

What is your recommendation to the amusement park?

Since method is not a significant factor, use either loading and unloading method.

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3 years ago

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sineoko [7]

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3 years ago

Factor 15 + 50. 5(10 + 3) 5(3 + 10) 3(5 + 25) 10(5 + 5)

Agata [3.3K]

Answer:

Step-by-step explanation:

So we have the expression:

$15+50$

Since 5 goes into both 15 and 50, we can factor out a 5. First, rewrite the numbers as:

$5(3)+5(10)$

Factor out the 5:

$=5(3+10)$

So, our answer is B

And we're done!

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3 years ago

How do i find the area and perimeter?

Flura [38]

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