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Jet001 [13]
2 years ago
14

HOW DO YOU FIND THE ARC OF A CIRCLE????

Mathematics
1 answer:
padilas [110]2 years ago
6 0

Answer:

1. Multiply the area by 2 and divide the result by the central angle in radians.

2. Find the square root of this division.

3. Multiply this root by the central angle again to get the arc length.

Step-by-step explanation:

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2. Find the relationship of x and y from
Shalnov [3]

Answer:

2x + 3 i think

Step-by-step explanation:

7 0
2 years ago
A jogger runs 140 m due west, then changes direction for the second leg of her run. At the end of the run, she is 374 m away fro
USPshnik [31]

Answer:

The length of her second displacement = 247.12 m.

The direction of her second displacement = 31.24° from west.

Step-by-step explanation:

As per the question,

From the figure as drawn below,

Let the starting point be O. After running 140 m due west, she reached at point A.

∴ OA = 140 m

And At the end of the run, she is 374 m away from the starting point at an angle of 20° north of west.

∴ OP = 374 m

We have to find the distance AP = x.

By using the cosine rule in triangle OAP

cos \theta = \frac{OA^{2}+OP^{2}-AP^{2}}{2\times OA\times OP}

After putting the given value, we get

cos 20= \frac{140^{2}+374^{2}-x^{2}}{2\times 140\times 374}

x^{2}=140^{2}+374^{2} - 2\times 140\times 374\times cos 20

  ∴ x = 247.12 m  

Hence,the length of her second displacement = 247.12 m.

Again,

By using the cosine rule in triangle OAP, we get

cos \alpha = \frac{OA^{2}+AP^{2}-OP^{2}}{2\times OA\times AP}

After putting the given value, we get

cos \alpha = \frac{140^{2}+247.12^{2}-374^{2}}{2\times 140\times 247.12}

∴ α = 148.759°

Hence, the  direction of her second displacement = 180° - α = 180° - 148.759 = 31.24° from west.

8 0
3 years ago
Consider the points (−4, 0) and (5, 0).
Lostsunrise [7]

Answer:

answered

Step-by-step explanation:

A) there y- coordinates are same . This means that the points lie on the x- axis only.

b) since the y- coordinate is zero of  both the points. The distance between them must be same as the distance between their x- coordinates. Which can be easily obtained with help of the number line. Here the distance will be equal to 9 units.

c) since the y- coordinate is zero of  both the points. The distance between them must be same as the distance between their x- coordinates. Which can be easily obtained with help of the number line. Here the distance will be equal to 9 units

6 0
2 years ago
A researcher reports a 98% confidence interval for the proportion of Drosophila in a population with mutation Adh-F to be [0.34,
Fantom [35]

Answer:

0.34 \leq p \leq 0.38

For this case we can conclude that with 98% of confidence the true proportion of Drosophila in a population would be between 0.34 and 0.38.

But that doesn't means that we have 98% of PROBABILITY that the true proportion would be between 0.34 and 0.38, because we are constructing a confidence interval with sample data and we can't analyze this using probability.

Then the best answer is:

2. False

Step-by-step explanation:

For this case we have a confidence interval for the proportion of Drosophila in a population with mutation Adh-F to be given by:

0.34 \leq p \leq 0.38

For this case we can conclude that with 98% of confidence the true proportion of Drosophila in a population would be between 0.34 and 0.38.

But that doesn't means that we have 98% of PROBABILITY that the true proportion would be between 0.34 and 0.38, because we are constructing a confidence interval with sample data and we can't analyze this using probability.

Then the best answer is:

2. False

3 0
3 years ago
What is the factored form of the expression?Factor completely.56k^3-84k^2+70k-105
nikdorinn [45]
The best way to approach this problem is to start off by doing factor by grouping.

7 0
3 years ago
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