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svetoff [14.1K]
3 years ago
7

the perimeter of the top of a desk is 54 inches if the length of the desk is 15 inches what is the width of the desk

Mathematics
2 answers:
nexus9112 [7]3 years ago
6 0
54-15=39
if you want to check your answer you add 39+15=54

siniylev [52]3 years ago
5 0
The formula for perimeter is P=2l+2w where P is perimeter, l is length and w is width. P=54 inches and l is 15 inches but we do not know the value of w. Let's replace the letters with their number
P=2l+2w
54=2(15)+2w
54=30+2w  let's group like terms or numbers that are similar. 54 and 30 have no letters attached to them and so are the similar. So let's move 30 to the right side. Since 30 is positive on the right side, subtract it from both sides of the equation.
54-30=30+2x-30
24=2w
24/2=2w/2
12=w Therefore the width is 12 inches.
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Help please. I did my best to find the answer but...
lorasvet [3.4K]

Answer:

24

Step-by-step explanation:

This a special right triangle with angle measures of 30° 60° 90°

The side length that sees angle measure 30° is represented with a, the one that sees 90° is represented by 2a and the one that sees 60° is represented by a√2

AC sees angle B which has an angle measure of 60

(6√2)×(√2) = 24

4 0
2 years ago
Find the slope of the line(s) passing through the given points. Then tell whether the line(s) rises, falls, is horizontal, or is
bonufazy [111]

Answer:

21) falls

22) vertical

23) rises

24) rises

25) falls

26) horizontal

27) rises

28) horizontal

29) falls

Step-by-step explanation:

We shall use the slope formula m=\frac{y_2-y_1}{x_2-x_1} to calculate the slopes of the line passing through each pair of point.

21: (3,1), (2,6)

The slope is m=\frac{6-1}{2-3}

\implies m=\frac{5}{-1}=-5.

A negative slope means this line falls

22) (-2,5), (-2,4)

The slope is m=\frac{4-5}{-2- -2}=\frac{-1}{0}= undefined

An undefined slope means this line is vertical

23) The given point is (0,8) (2,10)

The slope is m=\frac{10-8}{2-0}=\frac{2}{2}=+1

A positive slope means this line rises

24)  The points are (-3,-3), (3,1)

The slope is m=\frac{1--3}{3--3}=\frac{4}{6}=+\frac{2}{3}

A positive slope means this line rises

25) The points are: (5,0) (6,-2)

Slope: m=\frac{-2-0}{6-5}=\frac{-2}{1}=-2

A negative slope means this line falls

26)  The points are (-2,-8) , (5,-8).

Slope: m=\frac{-8--8}{5--2}=\frac{0}{7}=0

A zero slope means this line is horizontal

27) The points are: (-1,2) , (5,3)

Slope: m=\frac{3-2}{5--1}=+\frac{1}{6}

A positive slope means this line rises

28) The points are: (\frac{1}{2},4), (-1,4)

Slope: m=\frac{4-4}{-1-\frac{1}{2}}=\frac{0}{\frac{1}{2}}=0

A zero slope means the line is horizontal

29) The points are: (4,\frac{1}{2}), (5,\frac{1}{4})

Slope: m=\frac{\frac{1}{4}-\frac{1}{2}}{5-4}=-\frac{1}{4}

A negative slope means this line falls.

6 0
3 years ago
John has $6.10 in quarters and nickels in his pocket. If John has 34 coins in his pocket, how many of the coins are quarters?
Luden [163]
34 = q + n
6.1 = .25q + .05n

-1.7 = -.05q - .05n
6.1 = .25q + .05n

4.4 = .2q
q = 22

22 of the coins are quarters.
7 0
3 years ago
46 3= what is the answer
Andrews [41]
If you mean 46 * 3 = 138
If you mean 46 + 3 = 49
If you mean 46 - 3 = 43
If you mean<span> 46 ÷ 3 = 15.3

Hope it helped
</span>
5 0
3 years ago
when 1 is added to a number and the answer is trebled , it gives the same result as doubling the number and then adding 4, find
Phoenix [80]
X - the number
3(x+1)=2x+4
3x+3=2x+4
3x-2x=4-3
x=1
7 0
3 years ago
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