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rusak2 [61]
2 years ago
14

A hiker climbs a 5-mile trail up a mountain in 2 hours. On the return trip downhill, she walks the same trail and returns to her

starting point in 1 hour. What was her average rate of speed, in miles per hour, for the entire trip?
Mathematics
1 answer:
Ivahew [28]2 years ago
7 0

Answer:

3.33 miles per hour

Step-by-step explanation:

The total distance traveled by the hiker is 5 * 2 = 10 miles, and the total time travelled is 2 + 1 = 3 hours.

So, to find the average speed of the entire trip, we can use the formula:

distance = speed * time

With distance = 10 and time = 3, we have:

10 = speed * 3

speed = 10/3 = 3.33 miles per hour.

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Answer:

y = \dfrac{1}{3}x + 1

Step-by-step explanation:

The given line is in slope-intercept form,

y = mx + b,

where m is the slope.

The slope of the given line is 1/3, so m = 1/3.

Parallel lines have equal slopes, so the slope of the parallel line is also 1/3.

y = 1/3 x + b

Now we can find the equation of the parallel line through point (6, 3) by using the given point's coordinates for x and y and solving for b.

3 = (1/3)(6) + b

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Equation: y = \dfrac{1}{3}x + 1

8 0
2 years ago
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Oscar buys his lunch in the school cafeteria. The cost of 15 school lunches is $33.75.
Igoryamba

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can I see the graphs

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3 years ago
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valkas [14]

Answer: \boxed{y=\frac{4}{5}x-2}

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals, so as the slope of the given line is -5/4, the slope of the perpendicular line is 4/5.

Substituting into point-slope form,

y-6=\frac{4}{5}(x-10)\\\\y-6=\frac{4}{5}x-8\\\\\boxed{y=\frac{4}{5}x-2}

4 0
2 years ago
Geometry area question. Please help!
timurjin [86]
You can calculate polygon area with only apothem OR side length.

apothem only
area = apothem^2 * 6 * tan (180/6)
area = 10.4^2 * 6 * 0.57735
area = 108.16 * <span> <span> <span> 3.4641 </span> </span> </span>
area = <span> <span> <span> 374.677056 </span> </span> </span> square yards

side length only
area = 6 * 12^2 * / 4*tan(30)
area = 864 / 4 * 0.57735
area = 864 / <span> <span> <span> 2.3094 </span> </span> </span>
area = <span> <span> <span> 374.1231488698 </span> </span> </span> square yards

If apothem and side length were given with more precision, the answers would be closer.

Source:
http://www.1728.org/polygon.htm


5 0
2 years ago
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