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Fantom [35]
2 years ago
15

Which property is not used to simplify the following expression?

Mathematics
1 answer:
vazorg [7]2 years ago
4 0

Answer:

Seitokachou-sama uhuuuyy7 is

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a 1ft long piece of wire needs to be divided into two pieces which will form the shape of a circle and a square. Determine the l
yan [13]

Answer:

Length of wire for circle is 0.44 ft

Length of wire for square is 0.56 ft

Step-by-step explanation:

Let x is circumference of the circle

then

(1-x) = perimeter of the square

Find the radius of the circle

r =  (x/2.π)

Find the area of the circle

a =  π(x/2π)^2

a =  π(x^2/4π^2)

Cancel π

a =  x^2/4π

Find the area of the square:

a =  (1-x/4)^2

a =  (1-2x+x^2)/16

Total area

A =  (x^2/4π)+(1-2x+x^2/16)

A = 4x^2+3.142-6.284x+3.142x^2

A = 7.142x^2-6.284x+3.142

Find the axis of symmetry [x = -b/(2a)]

x =  -(-6.284)/{2.(7.142)}

x =  6.284/14.284

x = 0.44 ft, the piece of wire creating a circle

and

1 - 0.44 = 0.56 ft, the piece of wire creating the square

These lengths should give minimum area of the circle and square together

7 0
2 years ago
The figure below is a right rectangular prism with
svlad2 [7]

Answer:

The area of the base of the rectangular prism is:

  • <u>18 square centimeters</u>.

The height of the rectangular prism is:

  • <u>6 centimeters</u>.

The volume of the rectangular prism is:

  • <u>108 cubic centimeters</u>.

Step-by-step explanation:

To find the area of the base of the prism, you must remember that it corresponds to the rectangle formed by the points ABCD, with this in mind we apply the area formula that is equal to:

  • Area of a rectangle = base * height.

Since the rectangle formed by the mentioned points has a base of 9 cm and a height of 2 cm, these values are the ones we use in the formula:

  • Area of a rectangle = 9 cm * 2 cm
  • <u>Area of a rectangle = 18 cm^2 </u>

Since the height requested by the second question is not from the rectangle at the base but from the entire prism, you should look at the height formed by the AW points, which as you can see is:

  • <u>Prism height = 6 cm </u>

Once we have these two data, it is very easy to calculate the volume since they are what we require in the volume formula:

  • Volume = area * height.
  • Volume = 18 cm^2 * 6 cm
  • <u>Volume = 108 cm^3</u>
6 0
3 years ago
To win a basketball game, one team scored 113 points. They made a total of 41 two pointers and three pointers how many of the ba
anyanavicka [17]
So there are 41 two pointers and three pointers.  
there are 21 two pointers and 20 three pointers


6 0
3 years ago
Mrs.smith earns $3500 a month. She saves $280 a month. Savings is what percent of her income?
arlik [135]

Answer:

3500 280

Step-by-step explanation:

280/3500

280 divided by 3500 times 100 (type this into a calculator)

its 8 her savings are 8 percent of her income

4 0
3 years ago
4. A local restaurant employs 80 full time employees. Approximately 4/5 of the full-time employees are
laila [671]

Answer:

part-time work as a percentage of total part-time work, selected Latin American countries, 2003–13 .

396 pages

Step-by-step explanation:

nothin

3 0
2 years ago
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