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seropon [69]
2 years ago
14

Find the length of the arc of a circle with radius of 20 centimeters intercepted by a central angle of 45 degrees

Mathematics
1 answer:
oksian1 [2.3K]2 years ago
8 0

If the radius is 20cm, the circumference is

C = 2\pi r = 40\pi centimeters.

Now, 45° is one eighth of a whole turn, so the arc intercepted by a 45° angle is one eighth of the whole circumference, so the answer is

\dfrac{40\pi}{8} = 5\pi

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Katherine buys a tv with a normal price of $200 and she has a 25% off coupon. How much money did she save????
andrey2020 [161]

Given:

Normal price of a tv = $200

Coupon = 25% off

To find:

The money saved by Katherine.

Solution:

Katherine buys a tv with a normal price of $200 and she has a 25% off coupon. It means, the money saved by Katherine is 25% of normal price of tv, i.e., $200.

Saving=25\%\text{ of }200

Saving=\dfrac{25}{100}\times 200

Saving=25\times 2

Saving=50

Therefore, the money saved by Katherine is $50.

6 0
3 years ago
Find the reference angle of 100 degrees
Roman55 [17]

Since the angle  

100 °  is in the second quadrant, the reference angle formula is  A r = 180 ° −

A c.   A r = 180 ° − 100 °

The reference angle is  A r = 80 ° .

80 °

4 0
2 years ago
A fair die is tossed 5 times. Let <img src="https://tex.z-dn.net/?f=%5Cdfrac%7Bm%7D%7Bn%7D" id="TexFormula1" title="\dfrac{m}{n}
Ray Of Light [21]

Answer:

m = 1

Step-by-step explanation:

We can suppose that the number we are looking for is for example 5.

(we can do so because the probability is the same for each number - it'sna fair dice)

For the first toss the probability we have 5 is 1/6 (we have 6 numbers on the dice and number 5 is just one of the possible 6 outcomes).

For the second toss the probability we have 5 is again 1/6.

For the rest of 3 tosses we don'tcare what number we will get( we have our two consecutive 5s), so all of the outcomes for the rest of 3 tosses are good for us (probability is 6/6 = 1)

Threfore, the probability to get two consecutive 5s is 1/6 * 1/6 * 1 * 1 * 1 = 1/36.

We can see that m = 1.

4 0
3 years ago
I will give brainliest if correct
dalvyx [7]

Answer:supplementary

Step-by-step explanation:

Opposite angles in any quadrilateral inscribed in a circle are supplements of each other.

5 0
3 years ago
What’s the area?????
vaieri [72.5K]

Answer:

<h2>64</h2>

Step-by-step explanation:

<h2>10 x 4=40 3 x 8=24</h2><h2>40+24=64</h2>
7 0
3 years ago
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