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3 years ago

Fiona ran 6 laps around a track each lap was 500 meters how far did Fiona run? Circle all that apply

Mathematics

2 answers:

pishuonlain [190]3 years ago

5 0

D is the answer
Hope this helped

12345 [234]3 years ago

3 0

the answer to this question is d

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20 divided by 2 (5 5)=

Anni [7]

20 ÷ 2 (5,5)
20 ÷ 2 (25)
20 ÷ 50
.4

8 0

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 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.

Formulas

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

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

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

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

1 year ago

Cora paid 16/100 of a dollar to buy a postcard from Grand Canyon National park in Arizona. What is 65/100 written as a

Lana71 [14]

Answer:

$.65 (sixty five cents)

Step-by-step explanation:

6 0

2 years ago

What fraction is equivalent to 123.5℅

iVinArrow [24]

123.5%
= 123.5/100
= 1235/1000
= (1235/5) / (1000/5)
= 247/200
= 1 47/200

The final answer is 247/200 or 1 47/200~

5 0

2 years ago

3. Triangle ABC has angle measures as shown. a) What is the value of x? Show your work.

VladimirAG [237]

As always, the sum of the measures of the angles in a triangle is 180°.

(x -5) +(3x +30) +35 = 180
4x +60 = 180 . . . . . . . . . . . . . collect terms
4x = 120 . . . . . . . . . . . . . . . . . subtract 60
x = 30 . . . . . . . . . . . . . . . . . divide by 4

a) The value of x is 30.

8 0

3 years ago

Read 2 more answers