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Ira Lisetskai [31]
3 years ago
12

Assume running consumes 91 calories per mile. If you run 8-minute miles, what is your average power output, in watts, during a 2

-hour run?
Mathematics
1 answer:
avanturin [10]3 years ago
3 0

Answer:

0.79 Watts

Step-by-step explanation:

2 hours is 2 * 60 = 120 minutes

If you take 8 minutes per mile, you can run:

120/8 = 15 miles in 2 hours

Per mile calories consumption is 91, so in 15 miles:

91 * 15 = 1365

Average Power Output is Energy by Time

Also, calories to joules is:

1 Calorie = 4.184 Joules

So 1365 calorie is:

1365 * 4.184 = 5711.16 Joules

and 2 hours in seconds is 2 * 60 * 60 = 7200 seconds

Now

Average Power Output = 5711.16/7200 = 0.79 Watts

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Answer: 20π/9 cm²

Step-by-step explanation:

Central angle is given as = 50°

We should note that for a complete circle to be made, it needs 360∘. Therefore, this is 50/360 = 5/36 of the area of a sector.

Area of the sector = 5/36 × πr².

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= 5/36 × π × 16

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= 20π/9 cm²

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Answer:

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Step-by-step explanation:

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Answer:

The two column proof is presented as follows;

Statement                   {}                  Reason

1. Parallelogram SUPN \overline {SR}⊥ \overline {UN} {}   1. Given

and \overline {MP}⊥ \overline {UN}

2. ∠SRU = ∠PMN = 90°   {}                 2. Definition of perpendicular lines

3. ∠SRU ≅ ∠PMN            {}                 2. Definition of congruency

4. \overline {UP} ║ \overline {SN}                      {}                4. Opposite sides of a parallelogram are                                            {}                                                               congruent

5. ∠SNR ≅ ∠PUM             {}               5. Alternate interior angles are congruent

6. \overline {UP} ≅ \overline {SN}                      {}               6. Opposite sides of a parallelogram are                                            {}                                                              congruent

7. ΔPMU ≅ ΔSRN                 {}           7. By AAS rule of congruency

By the Angle-Angle-Side (AAS) rule of congruency, we have that, if two angles and a corresponding adjacent side (∠SRU ≅ ∠PMN, ∠SNR ≅ ∠PUM, \overline {UP} ≅ \overline {SN})  of two triangles (ΔPMU and ΔSRN) are congruent, then the the two triangles are also congruent (ΔPMU ≅ ΔSRN)

Step-by-step explanation:

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