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3 years ago

Please help me Find a, b, and c

Mathematics

1 answer:

zlopas [31]3 years ago

3 0

Answer:

It is A.

Step-by-step explanation:

To solve for b, use the 45-45-90 triangle theorem, in which each of the legs is x, so the legs would be 8. The hypotenuse would therefore be 8√2.

So without further solving the answer is A, since it's the only one with 8√2.

However, I will still solve for A and C. Using the 30-60-90 theorem, we have the sides as x, x√3, and 2x. The second longest side is b. Using this, we find a = 4√6 and c to be 4√2

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A rectangular swimming pool is twice as long as it is wide. A small concrete walkway surrounds the pool. The walkway is a 2 feet

Ksivusya [100]

Answer:

The width and the length of the pool are 12 ft and 24 ft respectively.

Step-by-step explanation:

The length (L) of the rectangular swimming pool is twice its wide (W):

$L_{1} = 2W_{1}$

Also, the area of the walkway of 2 feet wide is 448:

$W_{2} = 2 ft$

$A_{T} = W_{2}*L_{2} = 448 ft^{2}$

Where 1 is for the swimming pool (lower rectangle) and 2 is for the walkway more the pool (bigger rectangle).

The total area is related to the pool area and the walkway area as follows:

$A_{T} = A_{1} + A_{w}$ (1)

The area of the pool is given by:

$A_{1} = L_{1}*W_{1}$

$A_{1} = (2W_{1})*W_{1} = 2W_{1}^{2}$ (2)

And the area of the walkway is:

$A_{w} = 2(L_{2}*2 + W_{1}*2) = 4L_{2} + 4W_{1}$ (3)

Where the length of the bigger rectangle is related to the lower rectangle as follows:

$L_{2} = 4 + L_{1} = 4 + 2W_{1}$ (4)

By entering equations (4), (3), and (2) into equation (1) we have:

$A_{T} = A_{1} + A_{w}$

$A_{T} = 2W_{1}^{2} + 4L_{2} + 4W_{1}$

$448 = 2W_{1}^{2} + 4(4 + 2W_{1}) + 4W_{1}$

$224 = W_{1}^{2} + 8 + 4W_{1} + 2W_{1}$

$224 = W_{1}^{2} + 8 + 6W_{1}$

By solving the above quadratic equation we have:

W₁ = 12 ft

Hence, the width of the pool is 12 feet, and the length is:

$L_{1} = 2W_{1} = 2*12 ft = 24 ft$

Therefore, the width and the length of the pool are 12 ft and 24 ft respectively.

I hope it helps you!

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3 years ago

Simplify: -6(-8) + 15 =

Maru [420]

Answer:

Step-by-step explanation:

5 0

2 years ago

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Emily owns 10.2 shares of stock in a company. On Friday, the stock dropped by $1.35/share. What was the total change in value of

TiliK225 [7]

Answer:

answer is +$7.56

Step-by-step explanation:

I guess I was help full for u

plz follow me for more updates

5 0

3 years ago

I'm having trouble figuring out how to find the right symbol for this problem √9=6 ? 3

bearhunter [10]

Answer:

It's a - (minus) sign.

Step-by-step explanation:

This is because √9 is 3, and therefore 6-3=3.

Hope I helped :)

5 0

3 years ago

HELP PLS CLICK TO SEE THE QUESTION!!!

Maslowich

Answer:

3 1/4

Step-by-step explanation:

1) Convert 6 1/2 into a fraction and add it to 1/2.

6 -> 12/2

12/2 + 1/2 = 13/2

2) Divide the result by 2 (or multiple the result by the reciprocal of 2)

13/2 x 1/2 = 13/4 or 3 1/4

Hope this helped ^^

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3 years ago