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
Ghella [55]
3 years ago
8

For a circle with a radius of 6 feet, what is the measurement of the central angle (in degrees) that intercepts an arc with a le

ngth of
9π
2
feet?
Mathematics
1 answer:
makkiz [27]3 years ago
3 0

Answer:

135 degrees

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference is equal to

C=2\pi r

we have

r=6\ ft

substitute

C=2\pi (6)

C=12\pi\ ft

step 2

Remember that the circumference of the circle subtends a central angle of 360 degrees

so

using proportion

Find out the measurement of the central angle (in degrees) that intercepts an arc with a length of 9π/2 ft

\frac{12\pi}{360^o}=\frac{(9\pi/2)}{x}\\\\x=360(9\pi/2)/12\pi\\\\x=135^o

You might be interested in
Which functions are symmetric with respect to the origin?
Damm [24]

Answer:

The correct option is;

y = arcsinx and y = arctanx

Step-by-step explanation:

The given options are;

1) y = arcsinx and y = arccosx

Here, we have at the origin, where x = 0,  arccosx ≈ 1.57 while arcsinx = 0

Therefore arccosx does not intersect arcsinx at the origin for it to be symmetrical to arcsinx or the origin

2)  y = arccosxy and y = arctanx

Here arctanx = 0 when x = 0 and arcos x = 1.57 when x = 0 therefore, they are not symmetrical

3) y = arctanx and y = arccotx

Similarly, At x = 0, arccotx = 1.57 therefore, they are not symmetrical

4) y = arcsinx and y = arctanx

Both functions arcsinx and arctanx pass through the origin and their shapes are similar but inverted as they go from negative to positive.

3 0
3 years ago
The scale of a map is 1 : 25 000
Artyom0805 [142]

Answer: 5.5km

Step-by-step explanation:

The scale given 1 : 25 000 , and it was said that on the map , the distance between two railway stations is 22 cm , this means that the scale of the map is 1: 25000 cm.

The scale 1 : 25 000 means that each centimeters on the map represent 25 ,000 in real life ,therefore , to calculate the real distance between the two railway station , we have

25,000 X 22

= 550000 cm

To convert this to km

Recall that

1 km = 100,000 cm

Therefore we will divide the answer by 100,000 , that is

550000/100000

= 5.5 km

Therefore , the real distance between the two railway stations is 5.5km

7 0
3 years ago
575 mL = how many Liters​
olasank [31]

Answer:

0.575L

Step-by-step explanation:

1mL = 0.001L

We need to divide the number milliliters we are given and divide that by 1000.

575 / 1000 = 0.575

Best of Luck!

5 0
3 years ago
A scale distance of 3 centimeters on a map represents an actual distance of 51 feet.
Rom4ik [11]
In this case, the best way to work this out is to find what 1cm is equal to. In this case, you have to divide 51/3, giving you 17. You know that 17 feet. You can now divide 187/17, giving you 11. Therefore, 11cm is equal to 187 feet. Hope this helps
8 0
3 years ago
Read 2 more answers
Help I need help on this question
Natali [406]

Answer:

56.4 degrees

Step-by-step explanation:

90 degrees - 33.6 degrees = 56.4 degrees

3 0
3 years ago
Read 2 more answers
Other questions:
  • What is the maximum number of​ x-intercepts that a polynomial of degree 7 can​ have
    8·1 answer
  • Two thirds a number plus 4 is 7
    6·1 answer
  • What is te value of f(2)
    6·2 answers
  • A small bookshelf is
    7·2 answers
  • A restaurant charges an automatic gratuity of 18% on tables with more than 6 people. A party of 8 had a bill of p. Which express
    9·2 answers
  • Given the following system of equations, identify the type of system.
    6·1 answer
  • Maggie bought trains for her model train set. She spent $99. Gage bought some trains too. He spent $66. Each train cost the same
    6·1 answer
  • 6th grade math help me plzzz
    5·2 answers
  • At a recent meeting at the American College of Asthma, Allergy, and Immunology, researchers reported that allergy vaccinations a
    12·1 answer
  • Express 29 and 37 as the sum of two squares.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!