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Rashid [163]
3 years ago
15

Find the length and width (in feet) of a rectangle that has the given area and a minimum perimeter. area: 36 square feet

Mathematics
1 answer:
hoa [83]3 years ago
4 0
Answer: 8 feet

Explanation:

√36 = 6

Perimeter = 4 x 6 = 24 feet

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A circular mirror is surrounded by a square metal frame. The radius of the mirror is 3x. The side length of the metal frame is 1
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8x means it’s divided by 5x +9
7 0
2 years ago
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
2 years ago
Name the sides of the angle and classify the angle according to its measure
Thepotemich [5.8K]

Answer:

Step-by-step explanation:

The answer is b.

Hope this helped!

3 0
2 years ago
The cost of item A is $8 and the
yKpoI14uk [10]

Answer: the number of item A that you sold is 11

the number of item B that you sold is 2

Step-by-step explanation:

Let x represent the number of item A that you sold.

Let y represent the number of item B that you sold.

The total number of item A and item B sold is 13. This means that

x + y = 13

The cost of item A is $8 and the

cost of item B is $4. The total amount if money made is $88. This means that

8x + 4y = 88 - - - - - - - - - -1

Substituting x = 13 - y into equation 1, it becomes

8(13 - y) + 4y = 88

104 - 8y = 88

8y = 104 - 88 = 16

y = 16/8 = 2

x = 13 - y = 13 - 2 = 11

7 0
2 years ago
Read 2 more answers
Jing participates in a trivia contest. He completes each question in 1/2 minute.
jolli1 [7]

Answer:

300 seconds

Step-by-step explanation:

First, you have to know how much half a minute is. Half a minute is 30 seconds.

Second, you multiply 30 by 10 because he answered 10 questions.

30 * 10 = 300

So your answer is  300 seconds

Lastly, have a great day! :)

7 0
3 years ago
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