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qwelly [4]
3 years ago
11

Suppose an arc were intercepted by a central angle measuring 15°. The diameter of the circle is 9 cm. Can both of these values b

e substituted into the arc length formula? Explain
Mathematics
1 answer:
irinina [24]3 years ago
7 0

Answer:

NO, because this angle is being expressed in degrees and not in radians (the formula needs the angle to be in radians)

Step-by-step explanation:

The arc formula is the following:

arc length = angle * radius

with the angle in radians.

So the answer is NO, because this value of angle (15 degrees) is being expressed in degrees and not in radians. To use the formula, we would first need to convert from degrees to radians:

2pi radians -> 360 degrees

x radians -> 15 degrees

x = 15 * 2pi / 360 = 0.2618 rad

Now we can use this angle to find the arc:

arc = 0.2618 * 9 = 2.3562 cm

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31,50 is 42% os what number
sergeinik [125]
\frac{31,50}{x}=\frac{42}{100}

The right fraction represents the percentage; 42 over 100 (100 is the total), or 0.42.
The left fraction is the part number over the whole number. The whole number is unknown, so we use 'x'.


\frac{31.50}{x} = \frac{42}{100}\\\\cross\ multiply\\\\31.50\times100=3150\\42\times x=42x\\\\3150=42x\\x=75
Your answer is 75.

3 0
4 years ago
list the next nine multiples of each number Find the common multiples. Multiples of 4: 4, Multiples of 7:7, Common multiples: Mu
Alenkinab [10]
3 : 3,6,9,12,15,18,21,24,27,30

4 : 4,8,12,16,20,24,28,32,36

7: 7,14,21,28,35,42,49,56,63

9: 9,18,27,36,45,54,63,72,81
6 0
3 years ago
Read 2 more answers
Factor.<br> to<br> 4m6 – 16p10
Nonamiya [84]

Answer:

4 ( m⁶ - 4p¹⁰ )

Step-by-step explanation:

4m⁶ = 4 * m⁶

16p¹⁰= 4 * 4 *  p¹⁰

Common factor = 4

4m⁶ - 16p¹⁰ = 4 ( m⁶ - 4p¹⁰ )

3 0
3 years ago
15% of Alina’s workout consisted of cardio exercise. 25% of Dane’s workout consisted of cardio exercise. Which statement must be
Arisa [49]


The correct answer is B. If Alina’s workout was 80 minutes, and Dane’s workout was 48 minutes, they spent the same amount of time on cardio exercise.

To figure this out, first find 15% of 80 and then 25% of 48.

To find 15% of 80, you can first find 10% of 80 which is 8(just move the decimal one place to the left). The remaining 5% will be half of 8 since 8 is 10%. Add both the numbers up and you will get 12. (8+4=12)

To find 25% of 48, you can divide 48 by 4. Since percent means 'out of 100', 25% is 25 of 100. 100 divided by 25 is equal to 4. So, 48 divided by 4 is equal to 12.

So, the final answer is B. They both equal to 12.

Hope it helps :)

6 0
3 years ago
Is the sequence -3, 5, 13, 21, ...<br> a. arithmetic<br> b. geometric
kondaur [170]

Answer:

Step-by-step explanation:

It's arithmetic.

Just keep on adding 8 to each term.

-3 + 8 = 5

5 + 8 = 13

13 + 8 = 21

3 0
3 years ago
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