What is the miles travel in 5 hours at a rate of 189 miles in 3 hours

Mathematics

2 answers:

11111nata11111 [884]3 years ago

4 0

315 miles in 5 hours.

MissTica3 years ago

3 0

Ratio=distance / time ⇒ distance=rate x time
Data:
ratio=189 miles/3 hours=63 miles/hours
Time=5 hours

distance=(63 miles/hours)(5 hours)=315 miles.

Answer: 315 miles

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Answer:

$\sf \dfrac{1}{4} \pi \quad or \quad \dfrac{7}{9}$

Step-by-step explanation:

The width of a square is its side length.

The width of a circle is its diameter.

Therefore, the largest possible circle that can be cut out from a square is a circle whose diameter is equal in length to the side length of the square.

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$\sf \textsf{Area of a square}=s^2 \quad \textsf{(where s is the side length)}$

$\sf \textsf{Area of a circle}=\pi r^2 \quad \textsf{(where r is the radius)}$

$\sf \textsf{Radius of a circle}=\dfrac{1}{2}d \quad \textsf{(where d is the diameter)}$

If the diameter is equal to the side length of the square, then:
$\implies \sf r=\dfrac{1}{2}s$

Therefore:

$\begin{aligned}\implies \sf Area\:of\:circle & = \sf \pi \left(\dfrac{s}{2}\right)^2\\& = \sf \pi \left(\dfrac{s^2}{4}\right)\\& = \sf \dfrac{1}{4}\pi s^2 \end{aligned}$