1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ipn [44]
3 years ago
9

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

R's sector is 49π m2. Which is the ratio of the radius of circle Q to the radius of circle R?
Mathematics
2 answers:
taurus [48]3 years ago
7 0

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} \\


seropon [69]3 years ago
6 0
The answer will be 5/7
You might be interested in
Consider u have a 6 side dice what are the probabilities
stellarik [79]
Do you mean the probability of the die landing on a specific number? If so it would be 16.6 with 6 continuing on forever.
4 0
3 years ago
Read 2 more answers
What is the general form of the equation for the given circle centered at O(0, 0)?
eduard
The general form of  such an equation is  
x^2 + y^2 = r^2      where r = radius

In this case r^2 = 4^2 + 5^2 = 41   

So the required equation is x^2 ^ y^2 = 41

B
4 0
3 years ago
Read 2 more answers
What is the surface area of the figure shown?
Shalnov [3]

Answer:

The surface area of the figure = 962 ft²

Step-by-step explanation:

The rectangle dimensions and its area given below

Dimensions       Number         Area

12 x 7                2                   12 x 7 x 2 = 168

16 x 7                1                    16 x 7 = 112

12 x (16 + 5)     1                    12 x 21 = 252

16 x 12              1                    16 x 12 = 192

16 x 13              1                     16 x 13 = 208

Triangle dimensions

Dimensions           Number         Area

b = 12  & h = 5       2                bh/2 = (12*5)/2  = 30

To find total area

Total area = 168 + 112 + 252 + 192 + 208 + 30 = 962 ft²

5 0
3 years ago
Please answer the question below. Topic: Scale drawings
ch4aika [34]
It would be 100. Hope it helps!
8 0
3 years ago
Write the equation of the line that passes through the points (-9, -8) and (–6,6).
sveta [45]

Answer:

Slope - intercept form    y = \frac{14}{3} x  + 34

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given points are ( -9 ,-8 ) and (-6,6)

slope of given two points

    m = \frac{y_{2} -y_{1} }{x_{2}-x_{1}  } = \frac{6-(-8)}{-6-(-9)} = \frac{14}{3}

The equation of the straight line passing through the points and having slope

          y - y_{1} = m ( x - x_{1} )

        y - (-8) = \frac{14}{3}  ( x - (-9) )

          3 y + 2 4 = 14 x + 126

           3 y = 14 x + 126 - 24

          3 y = 14 x + 102

            y = \frac{14}{3} + \frac{102}{3}

           y = \frac{14}{3} x  + 34

Slope - intercept form  y= mx +C

Slope - intercept form    y = \frac{14}{3} x  + 34

6 0
2 years ago
Other questions:
  • In large cities people out and take taxis to get from one place to another the cost is $25.20 every 36 miles how much is a 47 mi
    13·1 answer
  • How are transformations affected by specific values of a constant
    7·1 answer
  • Mr. Tuyen uses 5/8 of a tank of gas each week to drive to and from his job. How many tanks of gas does Mr. Tuyen use in 5 weeks?
    8·1 answer
  • Will give brainliest!!!!!!!!!!!!!!!
    10·1 answer
  • Submit your answers in simplest radical form.<br><br><br> help :(
    15·2 answers
  • Help Plssssssaaa s s s
    14·1 answer
  • Just answer number 5 pls
    10·1 answer
  • The sum of 9 and a number is twice a number plus 14. Write an equation.
    13·1 answer
  • One movie is 120 minutes long. Another is 100 minutes long.
    11·1 answer
  • Solve the expression 94-x-67-x
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!