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Sauron [17]
3 years ago
14

Nina ran 2.5 miles in 20 minutes at the same pace how long would it take her to run 6 miles

Mathematics
2 answers:
Nat2105 [25]3 years ago
5 0

Answer:

48 minutes

Step-by-step explanation:

first divide 6 miles by 2.5 miles, that will be 2.4 miles, then multiply by 20

wolverine [178]3 years ago
5 0

Answer:

for 6 miles,it would take 48 minutes

Step-by-step explanation:

2.5 : 20

so

5 : 40

8 min for 1 mile

so

6 : 48

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3 years ago
From a piece of tin in the shape of a square 6 inches on a side, the largest possible circle is cut out. What is the ratio of th
wel

Answer:

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

Step-by-step explanation:

The <u>width</u> of a square is its <u>side length</u>.

The <u>width</u> of a circle is its <u>diameter</u>.

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

<u>Formulas</u>

\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}

So the ratio of the area of the circle to the original square is:

\begin{aligned}\textsf{area of circle} & :\textsf{area of square}\\\sf \dfrac{1}{4}\pi s^2 & : \sf s^2\\\sf \dfrac{1}{4}\pi & : 1\end{aligned}

Given:

  • side length (s) = 6 in
  • radius (r) = 6 ÷ 2 = 3 in

\implies \sf \textsf{Area of square}=6^2=36\:in^2

\implies \sf \textsf{Area of circle}=\pi \cdot 3^2=28\:in^2\:\:(nearest\:whole\:number)

Ratio of circle to square:

\implies \dfrac{28}{36}=\dfrac{7}{9}

5 0
2 years ago
Simplify 4 + 10 ÷ (–2).
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Answer:

-1 Your answer is A

Step-by-step explanation:

4+ 10/-2=-1

10/-2=-5

4+-5=-1

3 0
3 years ago
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Answer:

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In the graph, you can see that it would cost $150 for their work plus $100 per hour based on the slope of the line.

A Plus Plumbing charges $140 for their work plus $60 per hour.

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Brendan is 30. Anna is 5 years older than Cassie and 10 years younger than Brendan. How old is Cassie
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Answer:

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