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motikmotik
3 years ago
11

A runner runs 8 miles in 92 minutes. What is the runners unit rate?

Mathematics
2 answers:
KiRa [710]3 years ago
5 0

For this case, what we must do is calculate the speed of the runner.

We have then that the speed is given by:

v =\frac{d}{t}

Where,

d: distance

t: time

Substituting values we have:

v = \frac{8}{92}

V = 0.09 \frac{miles}{minutes}

Answer:

the runners unit rate is:

V = 0.09 \frac{miles}{minutes}

Roman55 [17]3 years ago
5 0
The runners unit rate is in miles per hour, or miles per minute.92 minutes = 1.53 h8 mi : 1.53 h = 5.22 mi / hour5.22 mi / h : 60 = 0.087 mi/minAnswer: 5.22 mi/h or 0.087 mi/min

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Answer:

m<N = 76°

Step-by-step explanation:

Given:

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Required:

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SOLUTION:

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m<K = 64° (Substitution)

m<K + m<J + m<JLK = 180° (sum of ∆)

64° + 64° + m<JLK = 180° (substitution)

128° + m<JLK = 180°

subtract 128 from each side

m<JLK = 180° - 128°

m<JLK = 52°

In isosceles ∆MNL, m<MLN and <M are base angles of the ∆. Therefore, they are of equal measure.

Thus:

m<MLN = m<JKL (vertical angles are congruent)

m<MLN = 52°

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m<M = 52° (substitution)

m<N + m<M° + m<MLN = 180° (Sum of ∆)

m<N + 52° + 52° = 180° (Substitution)

m<N + 104° = 180°

subtract 104 from each side

m<N = 180° - 104°

m<N = 76°

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