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koban [17]
3 years ago
9

6

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
4 0

Step-by-step explanation:

a+b+c=180°

64°+b+c=180°

b=c

2b+64°=180°

2b=180-64

2b=116°

b=116/2

b=58°=c

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If 1900 square centimeters of material are available to make a box with a square base and an open top, find the largest possible
Evgen [1.6K]

Answer:

Volume = 7969 cubic centimeter

Step-by-step explanation:

Let the length of each side of the base of the box  be A and the height of the box be H.

Area of material required to make the box  is equal to  is A^2 + 4*A*H.

A^2 + 4*A*H = 1900

 Rearranging the above equation, we get -  

`H = \frac{(1900 - A^2)}{(4*A)}

Volume of box is equal to product of base area of box and the height of the box -  

V = A*A* H

Substituting the given area we get -

\frac{A^2*(1900 - A^2)}{4A} = \frac{(1900*A - A^3)}{4}

For maximum volume

\frac{dV}{dA} =0

\frac{ 1900}{4} - \frac{3*A^2}{4} = 0

A^2 = \frac{1900}{3}

Volume of the box

= \frac{\frac{1900}{3}*(1900 - \frac{1900}{3}) }{4 * \sqrt{\frac{1900}{3} } }

= 7969 cubic centimeter

3 0
3 years ago
Maria borrowed $120,000 from a bank when she bought her co-op for $156,000.
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:


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