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Daniel [21]
3 years ago
7

Mason has 108 feet of material to build a fence around a rectangular pool on his property. If the width of the fence must be 6 f

eet, what is the length of the fence in yards if he uses all 108 feet of material? A. 48 yards B. 16 yards C. 96 yards D. 32 yards
Mathematics
1 answer:
Vlad1618 [11]3 years ago
7 0

Answer:

Option A (48 yards).

Step-by-step explanation:

The perimeter of any shape other than the ellipse is given by:

Perimeter = Sum of all sides.

Since there are two pairs of lines and both lines in the pair are congruent in each other in a rectangle, the formula can be updated as:

Perimeter of a rectangle = 2L + 2W; where L is the length and W is the width.

The perimeter of the fence around the rectangular pool is 108 feet and the width of the pool is 6 feet. The length can be calculated by plugging in the values in the above equation:

108 = 2L + 2(6).

2L = 108 - 12.

L = 96/2.

L = 48 feet.

So Option A is the correct answer!!!

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2 years ago
Point B is on line segment AC. Given AB = 3x, BC =4x+8 and AC = 5x + 10, determine the numerical length of AC
Vlada [557]

Answer:

15

Step-by-step explanation:

determine the numerical length of AC

We know that Ac is equaled to ab and bc because they are the segements between ac  

                3x                                4x+8

A-----------------------------B----------------------------------C

|<----------------------------5x+10 --------------------------->|

AB + BC = AC

solving for x

3x + 4X + 8 = 5X + 10

3x+4x-5x= 10-8

2x=2

x=1

Now sub that in for ac

AC= 5x +10

AC= 5(1) +10

AC= 5 +10

AC = 15

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2 years ago
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Answer:

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7 0
3 years ago
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A telemarketer spent 7 hours during her 8-hour shift calling up new clients. What percentage of her time was spent on things oth
padilas [110]
1/8 of her time was spent on things other than working with clients. 1/8 = 0.125 * 100 = 12.5%
6 0
1 year ago
The color distribution of Skittles is the following: 10% blue, orange, and green each, 23.3333% yellow, red, and purple each. In
irina1246 [14]

Answer:

No

Step-by-step explanation:

Given that:

Percentage of blue, orange and green = 10%

Percentage of yellow, red and purple = 23.3333%

Number of skittles in bag by color :

Red = 137

Orange = 39

Yellow = 130

Green = 39

Blue = 43

Purple = 112

According to the color distribution :

Number of blue, orange and green should be the same and also number of yellow, red and purple skittles must be the same.

Total number of skittles :

(137 + 39 + 130 + 39 + 43 + 112) = 500

10% of the total = 0.1 * 500 = 50

Hence,

We should have 50 blue, orange and green skittles

23.33333% of total = 116.666 (about 117 skittles of yellow, red and purple color)

3 0
2 years ago
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