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mash [69]
2 years ago
7

(Trignometry, need help please.) A dog is tethered to a 14 foot leash. She travels around an arc of 49 feet. What is the radian

angle she has rotated through? (Reporting bots.)​
Mathematics
1 answer:
saul85 [17]2 years ago
6 0

Element of Circle

the central angle (α) =  (the length of the arc x 360°)/2πr (r = radius)

\alpha =\dfrac{49\times 360^o}{2\pi\times 14}=200.64^o

convert to rad:

\tt 1^o=\dfrac{\pi}{180^o}rad\\\\200^o=\dfrac{200^o\pi}{180^0}rad=\boxed{\bold{3.48~rad}}

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What is the radius of a circle with a area of 112 square inches
Ugo [173]

Answer:

\displaystyle 5,9708213214...\:in.

Step-by-step explanation:

\displaystyle {\pi}r^2 = A \\ \\ \frac{{\pi}r^2}{\pi} = \frac{112}{\pi} \hookrightarrow \sqrt{35,650707253...} = \sqrt{r^2} \\ \\ \boxed{5,9708213214... = r}

I am joyous to assist you at any time.

5 0
2 years ago
What type of proportion is shown in 12 : 4 = 24 : 8?​
Dmitry [639]

Answer:

3:1

Step-by-step explanation:

7 0
3 years ago
Hii I need help with these questions tyy!
9966 [12]

Answer:

(7x+2)(3x-1); (5x+4)^2 or (5x+4)(5x+4);

Step-by-step explanation:

formula to find area is L* W = A ; meaning length multiplied by width equals to the area.

21.

using the formula to find area...

l*w=a

(7x+2)(3x-1) would be your answer

btw, don't put the "=a" at the end, since it's an expression :))

22.

since the problem states that it's a square, you can just say either...

(5x+4)^2 or (5x+4)(5x+4) not sure which one your teacher accepts

4 0
2 years ago
Read 2 more answers
A train travels 146 miles in 2 hours. At this rate, how many miles will it travel in 3.5 hours?​
Svetllana [295]

Answer:

255.5 miles

Step-by-step explanation:

146 miles - 2 hours

x miles - 3.5 hours

Cross multiply

2x = 146 x 3.5

2x = 511

Divide both sides by 2

x = 511/2

x = 255.5 miles

7 0
3 years ago
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elise gets a free tax allowance of $6000 and pays tax at 25% on the next $20 000. she pays tax at a raye of 30% on the rest. if
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Step-by-step explanation:

i know because im not g.a.y like u guys

4 0
2 years ago
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