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3 years ago

A runner runs 8 miles in 92 minutes what is the runner’s unit rate?

Mathematics

1 answer:

nikitadnepr [17]3 years ago

8 0

Answer:

The runner's unit rate is 0.09 miles/minute.

Step-by-step explanation:

Given:

Distance cover by runner = 8 miles and the time taken = 92 minutes.

Now, to calculate the runner's unit rate.

We put the formula to get the unit rate:

Velocity = distance/time

$v=\frac{d}{t}$

$v=\frac{8}{92}$

$v=0.0869$

v = 0.09 miles/minute (approximately)

Therefore, the runner's unit rate is 0.09 miles/minute.

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The roof of the building shown below has a span of 48 feet. The rafters upon which the roof is laid are 30 feet long, including

anyanavicka [17]

Solution :

Given :

Span of the roof = 48 feet

Length of the rafter = 30 feet (including the 4 feet overhung)

So, for the 30 feet long rafter, 26 feet will be rafter length from the high point of the roof to the edge of the roof and 4 feet will be the roof overhung.

Therefore, the horizontal span per rafter is

$=\frac{48}{2}$

= 24 feet

a). So the rise of the roof is $= \sqrt{(26)^2-(24)^2}$

= 10 feet

b). Pinch of the roof is $=\frac{\text{rise}}{\text{run}}$

$=\frac{10}{24}$

$=\frac{5}{12}$

c). The percent of the roof used as overhung is

$=\frac{4+4}{60}\times 100$

$=\frac{80}{6}$

= 13.33 %

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2 years ago

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kotykmax [81]

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3 years ago

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