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solmaris [256]
2 years ago
14

What is the length of the hypotenuse? If necessary, round to the nearest tenth.

Mathematics
1 answer:
azamat2 years ago
4 0

By the Pythagorean theorem,

a^{2}+12^{2}=13^{2}\\\\a^{2}+144=169\\\\a^{2}=25\\ \\ a=\boxed{5}

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Write the equation of a line that passes through the point ​(-8​,4​) and is parallel to the line y=-5x+3.
Oduvanchick [21]

Answer: y=-5x-36

Step-by-step explanation:

In order for two lines to be parallel they need to have the same slope. so the slope (m) of the new line needs to be -5.

slope(m) =-5

and the point (-8,4) is given to us. we can create a new equation for a line using the point slope formula because we have a slope (m=-5) and a point (-8,4)

                       

point slope formula: y-y1=m(x-x1)    

y-4=-5(x--8)

simplify and pay attention to negative signs

y-4=-5(x+8)

y-4=-5x-40

y=-5x-36

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5 0
2 years ago
Ramsay cuts out a piece from a circular cardboard for a school project. The radius of the cardboard is 10 inches and the measure
inysia [295]

Answer:

34 inches

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6 0
2 years ago
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Dimas [21]

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The third option

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7 0
1 year ago
What is 0.0000001 converted to the tenth power
jenyasd209 [6]

this would look like this: 0.0000001^10

If we were to do 0.0000001*0.0000001 it would be 0.00000000000010

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6 0
3 years ago
The numerator and the denominator of a fraction are thirteen and fifty, respectively. When a certain number is added to this num
Talja [164]
(13 + x)/(50 - x ) = (2/1)
Cross Multiply
2(50-x) = 1(13 + x)
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add 2x to both sides
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Subtract 13 from both sides
100 - 13 = 13 - 13 + 3x
87 = 3x
divide both sides by 3
29 = x

(13 + 29)/(50-29) = 42/21 = 2 to 1 ratio
7 0
2 years ago
Read 2 more answers
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