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Gala2k [10]
3 years ago
13

What three numbers have a range of 10 and a mean of 13

Mathematics
1 answer:
serious [3.7K]3 years ago
7 0

16,17,6

16-6 is 10 (range)

16+17+6=39

39/3 is 13. (mean)

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Both circle Q and circle R have a central angle measuring 140°. The area of circle Q's sector is 25π m2, and the area of circle
taurus [48]

Solution:

we are given that

Both circle Q and circle R have a central angle measuring 140°. The area of circle Q's sector is 25π m^2, and the area of circle R's sector is 49π m^2.

we have been asked to find the ratio of the radius of circle Q to the radius of circle R?

As we know that

Area of the sector is directly proportional to square of radius. So we can write

Area  \  \   \alpha \ \  r^2\\ \\ \Rightarrow A=kr^2\\ \\ \text{where k is some proportionality constant }\\ \\ \Rightarrow \frac{A_1}{A_2}=\frac{r_1^2}{r_2^2}\\ \\  \Rightarrow \frac{r_1^2}{r_2^2}=\frac{A_1}{A_2}\\ \\  \Rightarrow \frac{r_1^2}{r_2^2}=\frac{25 \pi}{49 \pi}\\ \\  \Rightarrow \frac{r_1}{r_2}=\sqrt{\frac{25 \pi}{49 \pi}} \\ \\  \Rightarrow \frac{r_1}{r_2}=\frac{5}{7} \\


7 0
3 years ago
Read 2 more answers
1. A sine function has the following key features
strojnjashka [21]

Answer:

1) y= 2sin(\frac{1}{2}x) + 2

2) y= 3sin(\frac{\pi}{2}x)-1

3) y= 2sin(2x) -2

Step-by-step explanation:

General form of sin function is

y= Asin(Bx) + C

Where A is Amplitude

B is \frac{2\pi}{\text{Period}}

C is Mid line

1) Given : A sine function has the following key features  

Frequency = \frac{1}{4\pi}

Period is P=\frac{1}{f}=\frac{1}{\frac{1}{4\pi}}=4\pi

Amplitude= 2

Mid line y= 2

Y intercept (0,2)  

This function is NOT a reflection of its parent function of the x-axis

Solution : We put the value in the general form of sin function

A= 2 ,  B=\frac{2\pi}{4\pi}=\frac{1}{2} , C=2

y= Asin(Bx) + C

y= 2sin(\frac{1}{2}x) + 2

2) Given : A sine function has the following key features  

Period = 4

Amplitude = 3

Mid line y = -1

Y intercept (0,-1)

Solution : We put the value in the general form of sin function

A= 3 ,  B=\frac{2\pi}{4}=\frac{\pi}{2} , C=-1

y= Asin(Bx) + C

y= 3sin(\frac{\pi}{2}x)-1

3) Given : A sine function has the following key features  

Period = \pi

Amplitude = 2

Mid line y = -12

Y intercept (0,-2)

Solution : We put the value in the general form of sin function

A= 2 ,  B=\frac{2\pi}{\pi}=2 , C=-2

y= Asin(Bx) + C

y= 2sin(2x) -2

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3 years ago
Pleaseee help mee <br> brainliest if right
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Answer:

I would say 80 if not it's not -6

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1. Melanie is running for mayor of her town. she believes that the probability of her winning the election is 8/13. what is the
Margaret [11]
For number one it would be 5/13 and for number two it would be 40%
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