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Grace [21]
3 years ago
11

Find the arc length of the partial circle.

Mathematics
2 answers:
katovenus [111]3 years ago
7 0

Answer:

11

Step-by-step explanation:

=  \frac{1}{2} \pi \: r \\  =  \frac{1}{2}  \times  \frac{22}{7}  \times 7 \\  =  \frac{1}{2}  \times 22 \\  = 11

Maru [420]3 years ago
4 0

Answer:

11

Step-by-step explanation:

\frac{90}{360}  \times 2 \times \pi \times 7 \\  \frac{1}{4}  \times 2 \times  \frac{22}{7}  \times 7 \\  = 11

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Anyone know the answer to this algebra question?
lana [24]

Answer:

possibly the third maybe

4 0
3 years ago
 GIVING BRAINLIEST TO THE PERSON THAT CAN EXPLAIN THIS THE BEST (:
scZoUnD [109]

Answer:

14w

Step-by-step explanation:

Width = w

Length is 6 time its width. so, multiply w by 6

length = 6*w = 6w

Perimeter of rectangle = 2* (length + width)

                                        = 2*(6w + w)

                                        = 2*7w

                                         = 14w

4 0
1 year ago
A rectangular tank with a square​ base, an open​ top, and a volume of 8 comma 7888,788 ft cubedft3 is to be constructed of sheet
Vlad [161]

Answer:

  26 ft square by 13 ft high

Step-by-step explanation:

The tank will have minimum surface area when opposite sides have the same total area as the square bottom. That is, their height is half their width. This makes the tank half a cube. Said cube would have a volume of ...

  2·(8788 ft^3) = (26 ft)^3

The square bottom of the tank is 26 ft square, and its height is 13 ft.

_____

<em>Solution using derivatives</em>

If x is the side length of the square bottom, the height is 8788/x^2 and the area is ...

  x^2 + 4x(8788/x^2) = x^2 +35152/x

The derivative of this is zero when area is minimized:

  2x -35152/x^2 = 0

  x^3 = 17576 = 26^3 . . . . . multiply by x^2/2, add 17576

  x = 26

_____

As the attached graph shows, a graphing calculator can also provide the solution.

5 0
3 years ago
Find all solutions to the equation (sinx-cosx)^2=1
svetoff [14.1K]

Answer:

x=\dfrac{\pi k}{2},\ k\in Z.

Step-by-step explanation:

Simplify the equation (\sin x-\cos x)^2=1:

\sin^2 x-2\sin x\cos x+\cos ^2x=1,\\ \\ (\sin^2x+\cos^2x)-2\sin x\cos x=1.\\

Since

\sin^2 x+\cos^2 x=1

and

2\sin x\cos x=\sin 2x,

we have

1-\sin 2x=1,\\ \\\sin 2x=0,\\ \\2x=\pi k,\ k\in Z,\\ \\x=\dfrac{\pi k}{2},\ k\in Z.

8 0
3 years ago
Read 2 more answers
Car A travels 180 miles in 7 hours. Car B travels 350 miles in 4 hours. Car C travels 584 miles in 15 hours. Which car has the f
GalinKa [24]
Car A travels 180miles in 7 hours
Car A travels 25.7 miles an hour because 180/7 = 25.7

Car B travels 350 miles in 4 hours
Car B travels 87.5 miles an hour because 350/4= 87.5

Car C travels 584 miles in 15 hours
Car C travels 38.9 miles an hour because 584/9 = 38.9

Car B has the fastest average speed
5 0
3 years ago
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