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Alina [70]
4 years ago
11

Joe is hiking a trail that is 30 miles long. after several days, he is two times as far from the beginning of the trail as he is

from the end. how much further does he have to hike?
Mathematics
1 answer:
lora16 [44]4 years ago
5 0
In order to answer this question let's suppose,
Joe is x miles from the beginning and y miles from the end. These assumptions are necessary to answer further:

Now,
x=2y
x+y=30
plugging in x=2y in the above equation
2y+y=30
3y=30
y=10

Hence, according to our calculations, Joe has to hike 10 miles further
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If an interior angle of a regular polygon measures 108°, how many sides does the polygon have?
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Answer:

5

Step-by-step explanation:

<u>(n-2)180 = 108</u>

          n

Distribute

180n-360=108n

-360=-72n

5=n

n=5

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3 years ago
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The graph of the equation y=12x−3 Determine the value of y for the point (4, y).
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Answer:

y=45

Step-by-step explanation:

y=12x-3

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3 years ago
Forensic specialists can estimate the height of a deceased person from the lengths of the person's bones. These lengths are subs
Lera25 [3.4K]

Answer:

130.2845\leq h\leq 137.7245

Step-by-step explanation:

Given an inequality that relates the height h, in centimeters, of an adult female and the length f, in centimeters, of her femur by the equation

|h - (2.47f + 54.10)| \leq  3.72

If an adult female measures her femur as 32.25 centimeters, we can determine the possible range of her height by plugging f = 32.25cm into the modelled equation as shown:

|h - (2.47(32.25) + 54.10)| \leq  3.72\\|h - (79.9045 + 54.10)| \leq  3.72\\|h - (134.0045)| \leq  3.72\\

If the modulus function is positive then:

h - 134.0045 \leq  3.72\\h \leq 3.71+134.0045\\h\leq 137.7245

If the modulus function is negative then:

-(h - 134.0045) \leq  3.72\\-h+134.0045 \leq 3.72\\-h\leq 3.72-134.0045\\-h\leq -130.2845\\

multiply through by -1

-(-h)\geq  -(-130.2845)\\h\geq 130.2845\\130.2845\leq h

combining the resulting inequalities, the estimate of the possible range of heights will be 130.2845\leq h\leq 137.7245

8 0
3 years ago
Find the radius of the sphere with a volume of 32/81π cubic yards. Write your answer as a fraction in simplest form. PLEASE HELP
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Area of a sphere = 4(pi)(r)^2
Reverse the equation to find the radius (r)
The answer will be in pi form

32/81(pi)

8/20.25(pi)

Square root of 8/20.25(pi) = radius

r =  2.8(rounded)/4.5(pi)

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8 0
3 years ago
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