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Alexandra [31]
3 years ago
6

Mark cycled 25 miles at a rate of 10 minutes per hour. How long dis it take Mark to cycle 25 miles

Mathematics
1 answer:
Kobotan [32]3 years ago
4 0

Answer:

2.5 hours.

Step-by-step explanation:

We have been given that Mark cycled 25 miles at a rate of 10 miles per hour.

To find how many hours Mark took to cycle 25 miles we will divide 25 by 10.

\text{Time taken by Mark to cycle 25 miles}= \frac{25\text{ miles}}{10\frac{miles}{hour}}

\text{Time taken by Mark to cycle 25 miles}=\frac{25\text{ miles}}{10}\times \frac{\text{hour}}{\text{miles}}

Upon cancelling out miles from numerator and denominator we will get,

\text{Time taken by Mark to cycle 25 miles}=\frac{25}{10} \text{ hour}

\text{Time taken by Mark to cycle 25 miles}=2.5\text{ hour}

Therefore, Mike will take 2.5 hours to cycle 25 miles.


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Option 2 - 3.2 inches.                      

Step-by-step explanation:

Given : The lengths of two sides of a right triangle are 5 inches and 8 inches.

To find : What is the difference between the two possible  lengths of the third side of the triangle?

Solution :

According to question, it is a right angle triangle

Applying Pythagoras theorem,

H^2=P^2+B^2

Where, H is the hypotenuse the longer side of the triangle

P is the perpendicular

B is the base

Assume that H=8 inches and B = 5 inches

Substitute the value in the formula,

8^2=P^2+5^2

64=P^2+25

P^2=64-25

P^2=39

P=\sqrt{39}

P=6.24

Assume that P=8 inches and B = 5 inches

Substitute the value in the formula,

H^2=8^2+5^2

H^2=64+25

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L=H-P

L=9.43-6.24

L=3.19

Therefore, The difference between the two possible  lengths of the third side of the triangle is 3.2 inches.

So, Option 2 is correct.

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