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brilliants [131]
2 years ago
11

A rectangular carpet has a perimeter of 264 inches. The length of the carpet is 108 inches more than the width. Determine the di

mensions of the carpet by solving the equation 2w+2(w+108)=264​, where w represents the carpet width.
Mathematics
1 answer:
azamat2 years ago
4 0

Answer:

The width of the carpet is 12 inches and the length of the carpet is 120 inches.

Step-by-step explanation:

2w+2(w+108)=264

^We can distribute first^

Distributing would result in:

2w+2w+216=264

Then we would combine like terms, which would result in:

4w + 216 = 264

Then we solve the equation.

4w + 216 = 264 \\ \:  \:  \:  \:  \:  \:  \:  \:  \:     \frac{ - 216 =  - 216}{4w = 48}  \\   \\  \frac{4w}{4}  =  \frac{48}{4}  \\ w = 12

Since the width of the carpet is 12 (as we figured out). The statement said that "The length of the carpet is 108 inches more than the width."

So now we add 108 to 12 to figure out the length.

108 + 12 = 120

The length of the carpet is 120 inches.

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If 400 reduced by two times my present age is 296, how old am I now?
vitfil [10]

Answer:

52 years.

Step-by-step explanation:

Represent my current age by c.  Then 400 - 2c = 296, or

104 = 2c

Then c must be 104/2, or 52 years.

4 0
3 years ago
Find the coordinates of the endpoint of the image?
ra1l [238]

Given:

The graph of a line segment.

The line segment AB translated by the following rule:

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To find:

The coordinates of the end points of the line segment A'B'.

Solution:

From the given figure, it is clear that the end points of the line segment AB are A(-2,-3) and B(4,-1).

We have,

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Using this rule, we get

A(-2,-3)\to A'(-2+4,-3-3)

A(-2,-3)\to A'(2,-6)

Similarly,

B(4,-1)\to B'(4+4,-1-3)

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Therefore, the endpoint of the line segment A'B' are A'(2,-6) and B'(8,-4).

5 0
2 years ago
On a number line, point A has a coordinate of -6, and point B has a coordinate of 2. Which is the coordinate of point M, the mid
damaskus [11]
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5 0
2 years ago
According to the Americans with Disabilities Act, a ramp can rise no more than 1 ft for every 12 ft of horizontal distance. What
taurus [48]

Answer:

A. 4.8°

Step-by-step explanation:

We have that,

The horizontal distance for the ramp = 12 feet.

Maximum height of the ramp = 1 feet.

So, we get that the value of the angle 'x' made by the ramp with the ground is given by,

\tan x=\frac{perpendicular}{base}

i.e. \tan x=\frac{1}{12}

i.e. \tan x=0.0833

i.e. x=\arctan 0.0833

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Thus, the maximum angle made by the ramp with the ground is 4.8°.

3 0
3 years ago
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oksian1 [2.3K]

Okay, so first, the quadrants on a coordinate plane go counter clockwise.

                          2                 |               1

                       __________|__________

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8 0
3 years ago
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