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NemiM [27]
3 years ago
13

A rectangle has a perimeter of 12 x + 8y. If one side of the rectangle is 4x-2y, write expression of the other side.

Mathematics
1 answer:
Alona [7]3 years ago
8 0

Answer:

The expression of the other side of the rectangle = 2x + 4y + 25

Step-by-step explanation:

The Perimeter of the rectangle is 12 x + 8y

The one side of the rectangle is 4x - 25

Let the other side of the rectangle be S

Now, the PERIMETER OF THE RECTANGLE = 2 ( SUM of BOTH SIDES)

⇒  12 x + 8y =  2(S + (4x - 25))

or, 12 x + 8y =  2S +  8 x - 50

or, 12 x + 8y - 8x + 50 = 2S

⇒ 4x + 8y + 50 = 2S

or, S = 2x + 4y + 25

Hence, the expression of the other side of the rectangle = 2x + 4y + 25

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Which explanation can be used to informally derive the formula for the volume of a cone?.
Elis [28]

The statement that is correct about the volume of the cone is, a cylinder is exactly 3 times bigger than a cone with the same height and radius. Therefore, the formula for the volume of a cone is 1/3 of the volume of a cylinder with the same height and radius.

<h3>The formula for the volume of a cone</h3>

If we look carefully at a cylinder and the cone, if both the objects have the same radius, still the volume of both the objects is different, that difference is been created because the cone is gradually decreasing to a point while the cylinder is of the same radius during the entire length.

This makes a difference in the volume of the two objects.

Therefore, the statement that is correct about the volume of the cone is, a cylinder is exactly 3 times bigger than a cone with the same height and radius.

Hence, the formula for the volume of a cone is 1/3 of the volume of a cylinder with the same height and radius.

Learn more about Cone:

brainly.com/question/1315822

6 0
2 years ago
1/2 of a bag of candy is skittles, 1/4 is m and m's, and 3/4 of the rest of it are life savers. The rest are sour patch kids. Wh
m_a_m_a [10]

Answer:

6.25%

Step-by-step explanation:

Total = 1 ; as a decimal

1/2 = skittles

1/4 = M&Ms

Skittles +M&Ms = 1/2 + 1/4 = 3/4

Remainder = 1 - \frac{3}{4}

Remainder = \frac{1}{4}

Sour patch = \frac{1}{4} *\frac{1}{4} =\frac{1}{16}

As a percentage , multiply 1/16 by 100 and it becomes 6.25%

5 0
3 years ago
Your friend adds 46.7
ozzi

Answer:

The answer is greater than 51

Step-by-step explanation:

  • 46.7 rounds to about 47
  • 5.4 rounds to about 5
  • 47 + 5 = 52
  • 52 > 51
5 0
3 years ago
Read 2 more answers
3(3 - 8x) - 1 = -6x - 28
Wewaii [24]

Answer:

x=2

Step-by-step explanation:

3(3 - 8x) - 1 = -6x - 28

Distribute

9 -24x -1 = -6x -28

Combine like terms

8 -24x = -6x -28

Add 24x to each side

8-24x+24x = -6x-28+24x

8 = 18x-28

Add 28 to each side

8+28 = 18x-28+28

36 = 18x

Divide each side by 18

36/18 = 18x/18

2 =x

6 0
4 years ago
Read 2 more answers
PLEASE HELP ME OUT!!!!!!!!!!
Semmy [17]

Answer:

Exponential

Step-by-step explanation:

- Linear is a straight line no matter what.

- Quadratic lines makes a u or v shape that opens up, down, left, or right.

- Exponential is like a slanted 45° clockwise u and a bit stretched horizontally.

- Square root lines on a graph, looks more like a slanted L 90° clockwise.

- Inverse Variation would show its inverse, same as a mirror, it would be something similar to a hyperbola.

Hope This Helps!

6 0
3 years ago
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