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3 years ago

Troy cycled 57 miles in 3 hours. if he cycled at a constant rate, what was his rate in mph?

Mathematics

2 answers:

Digiron [165]3 years ago

8 0

57 miles / 3 hours = 19 mph

Nimfa-mama [501]3 years ago

7 0

Divide 57 by 3 to get 19mph

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A point in the figure is selected at random. Find the probability that the point will be in the part that is NOT shaded.

Dovator [93]

Answer:

Step-by-step explanation:

So the question really is what is the probability that the point is in the square? You cannot pick something surrounding the circles because you do not know anything about that region.

This is solved by comparing areas. There are 2 full circles there. 1 circle has an area of pi*r^2

Total shaded area = 2 * pi * r^2.

Let r = 3 This is a completely random choice. No matter what number you choose for r, the answer will come out the same. When you get along a little further in math, you will find that you can just use letters.

Total shaded area = 2 * 3.14 * 3^2

Total shaded area = 2 * 3.14 * 9

Total shaded area = 56.55

Total area of the square.

s = 2*r

s = 2*3

s = 6

Area of the square = 6^2 = 36

Total area of both regions = 56.55 + 36 = 92.55

Answer

% = (area of square) * 100% / Total area of both regions

% = 3600 / 92

% = 39%

Obviously the answer I get is not offered. The closest answer is B so I will choose that.

==========================

This is how this question would be done without using any value for r.

Area of shaded region = 2 pi r^2 = 6.28 r^2

Area of square = d^2 where d = 2r

Area of square = 4 r^2

Total area = 6.28 r^2 + 4r^2 = 10.28 r^2

Area of square to total = (4r^2/10.28 r^2 ) * 100%

Area of square to total (as a %) = 4/10.28 * 100 = 39% which gives the same answer.

7 0

3 years ago

Read 2 more answers

How to do Area of this figure?

stellarik [79]

Answer:

I don't want to do the problem for you but

Step-by-step explanation:

First you have to divide the figure into 2 parts. Then, you find the area of both the rectangles. You will also have to subtract the 8 from 12 which is 4 and after that you can subtract 5 from 18 because in a rectangle the opposite sides are the same. After you do those step you find the area of the rectangles.

Formula: Area= base * height

After you have to add both of the area up.

And that it!!

Hope this helps!! :)

3 0

3 years ago

If f(x)=-2x+9, then find the value of the x value that makes F(x)=-22

Lostsunrise [7]

-22 = -2x + 9
-31 = -2x
-31/-2 = x
x = 15.5

5 0

3 years ago

The capacity of syringe is 0.08 liters.convert this to milliliters

schepotkina [342]

$1l=1,000ml\\\\therefore\ 0.08l=(0.08\times1,000)ml=\boxed{80ml}$

3 0

3 years ago

Read 2 more answers

What is the y-intercept of the following equation. 3x-2y=6

tester [92]

3x-2y=6

1) Add -3x to both sides.
 3x−2y=6
+3x +3x
-----------------
−2y=−3x+6

2) Divide both sides by -2.
 $\frac{-2y}{-2}$ = $\frac{−3x+6}{-2}$

y=32x−3

3) Substitute the y with the equation
3x-2(32x-3)=6
3x-64x+6=6

4) Combine like terms
3x-64x+6=6
-61x+6=6

5) Subtract 6 from each side of the equation
-61x+6=6
-6 -6 (+6-5 gets crossed out)
--------------
-61x=0

6) Divide both sides by -61
$\frac{-61x}{-61} = \frac{0}{-61}$
x=0

============================================================

Now that you've got you x intercept, use the x value and substitute it into the
y=32x−3

y=32(0)-3
y=0-3
y=-3

(0,-3)

7 0

3 years ago