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3 years ago

15

keith ran in a marathon . it took him 3 hours and 2 minutes to run 26 miles . if he ran at the same rate for the whole race , ho

w many minutes did it take him to run each mile ? (1hr=60min )

1 answer:

oee [108]3 years ago

4 0

It takes him 7 minutes for each mile

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When solving for -1/5(x-25)=7 what is the correct sequence of operations

slamgirl [31]

A sequence of operations that will get you to the solution is ...

... d. multiply each side by-5, add 25 to each side

_____

That is not the only correct sequence of operations. However the other ones listed here are incorrect ways to get to x = -10.

You can do whatever multiplication and addition you like to each side of the equation, but if those operations are poorly chosen, they will make finding the solution more difficult.

4 0

3 years ago

What is the area of the top of the water buoy as shown in the figure?

gayaneshka [121]

Answer:

The answer is 28.26 square in

Step-by-step explanation:

As, the diameter if the top = 6 inches

And the area of a circle = 3.14(pi) x radius^2

So here radius = Diameter /2 = 6/2 = 3

So radius = 3 inches

So area = 3.14 x (3)^2

= 3.14 x 9

= 28.26 square in

4 0

2 years ago

Read 2 more answers

Analyze the diagram below and complete the instructions that follow.

lora16 [44]

Answer:

$\displaystyle y=2\sqrt{6}$

$\displaystyle x=2\sqrt{2}$

Step-by-step explanation:

<u>Trigonometric Ratios </u>

The ratios of the sides of a right triangle are called trigonometric ratios.

The longest side of the right triangle is called the hypotenuse and the other two sides are the legs.

Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

The image provided shows a right triangle whose hypotenuse is given. We are required to find the value of both legs.

Let's pick the angle of 30°. Its adjacent side is y. We can use the cosine ration, which is defined as follows:

$\displaystyle \cos 30^\circ=\frac{\text{adjacent leg}}{\text{hypotenuse}}$

$\displaystyle \cos 30^\circ=\frac{y}{4\sqrt{2}}$

Solving for y:

$y=4\sqrt{2}\cos 30^\circ$

Since:

$\cos 30^\circ=\frac{\sqrt{3}}{2}$

$\displaystyle y=4\sqrt{2}\frac{\sqrt{3}}{2}$

Simplifying:

$\displaystyle y=2\sqrt{6}$

Now we use the sine ratio:

$\displaystyle \sin 30^\circ=\frac{\text{opposite leg}}{\text{hypotenuse}}$

$\displaystyle \sin 30^\circ=\frac{x}{4\sqrt{2}}$

Solving for x:

$x=4\sqrt{2}\sin 30^\circ$

Since:

$\sin 30^\circ=\frac{1}{2}:$

$\displaystyle x=4\sqrt{2}\frac{1}{2}$

Simplifying:

$\displaystyle x=2\sqrt{2}$

The choices are not clear, but it seems like the correct answer is C.

$\boxed{\displaystyle y=2\sqrt{6}}$

$\boxed{\displaystyle x=2\sqrt{2}}$

6 0

3 years ago

What is the mean of the data set below 2, 3, 5, 6, 6, 10, 15, 15,

SpyIntel [72]

6.5 is the mean of the data

4 0

3 years ago

(Geometry HELP) The perimeter of WXY is ___ cm?

jeka57 [31]

I hope this helps you

QR=WS=2.93

RS=QW =2.04

QS=XR =2.28

RS=XQ=2.04

SY=QR =2.93

RY=QS =2.28

XY=XR+RY=2.28+2.28=4.56

XW=XQ+QW=2.04+2.04=4.08

WY=WS+SY=2.93+2.93=5.86

Perimeter of XYW=XW+WY+XY

Perimeter of XYW=4.08+5.86+4.56

Perimeter of XYW =14.5

8 0

3 years ago