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3 years ago

The ____ of a triangle is the center of the only circle that can be inscribed inside it

Mathematics

2 answers:

Artist 52 [7]3 years ago

8 0

Answer: INCENTER

Step-by-step explanation:

APEX

GREYUIT [131]3 years ago

4 0

The circumcenter <span>of a triangle is the center of the only circle that can be inscribed inside it.

I hoped I helped!</span>

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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

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3 years ago

A tire at the top of a hill starts rolling down the hill. If the diameter of the tire is 36 inches, how many inches has the tire

vredina [299]

The answer would be 360pi.

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Susan is 5 years older than her sister. The sum of their ages are 51. Define a variable. Then write an equation that could be us

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You would do
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then you would divide
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so Susan is
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Answer:

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Step-by-step explanation:

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12 subtract 2 times 5 plus 7 is 9

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