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2 years ago

A cheetah ran 330 feet in 3.92 seconds. What is the cheetah’s average speed in miles per hour

Mathematics

1 answer:

Pavel [41]2 years ago

8 0

Answer:

So its 70.05 miles per hour Hope this helped :)

Step-by-step explanation:

Cheetah ran 300 feet in 2.92 seconds.

Average speed in miles per hour.

Converting 300 feet to mile.

5280 feet = 1 mile

1 feet = (1/5280) mile

300 feet = (1/5280) * 300 = (300/5280) = (30/528) = (10/176) mile.

2.92 seconds to hour.

3600 seconds = 1 hour

1 second = (1/3600) hour

2.92 seconds = 2.92 * (1/3600) = (2.92/3600) hour.

Speed of Cheetah in miles per hour = (10/176) mile / (2.92/3600) hour

= 70.05 miles/hour

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2 years ago

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Answer:

The time taken by smaller pipe to fill the tank alone is 74.2 min

Step-by-step explanation:

Given as :

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Let the time taken by larger pipe to fill tank = y

And the time taken by smaller pipe to fill tank = x

According to question

The smaller pipe takes 49 minutes longer than larger pipe

I.e x = y + 49

Now,

$\dfrac{1}{x}$ + $\dfrac{1}{y}$ = $\dfrac{1}{49}$

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Or, $\dfrac{y + 49 + y}{y^{2} + 49 y }$ = $\dfrac{1}{49}$

Or, 2 y + 49 = $\dfrac{y^{2}+49y }{19}$

Or, 19 × ( 2 y + 49 ) = y² + 49 y

Or, 38 y + 931 = y² + 49 y

Or, y² + 49 y - 38 y - 931 = 0

or, y² + 11 y - 931 = 0

Or, Applying quadratic equation method to calculate the value of y

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Or, y = $\frac{- 11 \pm \sqrt{11^{2}-4\times 1\times (-931)}}{2\times 1}$

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2 years ago

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