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
algol [13]
3 years ago
7

Determine the angle at the centre of a circle with radius 6.0 cm for an arc length of 8.0 cm.

Mathematics
1 answer:
sveta [45]3 years ago
4 0

Answer:

Third option.

Step-by-step explanation:

You need to remember that the formula used to calculate the arc lenght is:

arc\ length=r C

Where "r" is the radius and "C" is the central angle in radians.

You need to solve for "C":

C=\frac{arc\ length}{r}

You know the radius and the arc lenght, therefore, you can substitute values to calculate the central angle in radians. Therefore, this is:

C=\frac{8.0cm}{6.0cm}

C=\frac{4}{3}radians

You might be interested in
What is the interquartille range of the given data set
IrinaK [193]

Answer: B. 9

Step-by-step explanation:

First, find the median of the data set. This set has an even number of points, so find the average between the two middle points: 18 and 19. 18+19 = 37. 37/2 = 18.5. <em>The median is 18.5.</em>

Now, to find the lower quartile, find the median of the lower half of the data set {11, 12, 14, 15, 18}. The number in the middle is 14. <em>The lower quartile is 14.</em>

To find the upper quartile, find the median of the upper half of the data set {19, 21, 23, 25, 55}. The number in the middle is 23. <em>The upper quartile is 23.</em>

To find the interquartile range, subtract the lower quartile from the upper quartile. 23-14 = 9. <em>The interquartile range is 9.</em>

3 0
2 years ago
a tank can hold up to 500 gallons of water.A gauge reading shows that it is at 80% of its capacity. How many more gallons can it
Paha777 [63]
So we start out by finding out what 80% of 500 is by,

500 * .80 = 400

So if 80% is 400 that means that there is still space available for 100 more gallons! 

How the heck did we know that?!? 

simple 500- 400= 100 

So that leaves us knowing that there are 100 gallons left that can be held!! :) 

                            So your answer is 100 gallons!! 

I hope that this helped!
7 0
3 years ago
Manny and Lisa are making reading schedules. Manny wants to read 10 pages after 2 hours and 20 pages after4 hours. Lisa wants to
Dennis_Churaev [7]
What’s the question?
6 0
3 years ago
One letter at random is picked from the word GOOGLE and independently one letter at random is picked from the word GROUP.
den301095 [7]

a)  2/6 * 1/5 = 2/30 = 1/15

b) 1/15 + 2/6 * 1/5 = 2/15

7 0
3 years ago
Help. Calculus question.
elixir [45]

Answer:

64π/5 cubic units.

Step-by-step explanation:

The line x = 2 and y = x^3 intersect at the point (2 , 2^3) = (2, 8).

The required volume = volume of the cylinder with height 8 and radius 2 - the volume of shape form between the curve and the y axis when revolved about the y-axis.

Using the disk method for volumes of revolution:

Note that x = y^1/3 so:

the second volume =   Integral  π ((y^1/3)^2) dy  between y = 0 and y = 8.

=  3/5 y^5/3 * π between 0 and 8

= 96π/5.

The required volume = π 2^2 *8 - 96π/5

= 32π - 96π/5

= 64π/5.

4 0
3 years ago
Other questions:
  • The set of possible values of m is {5,7,9}. What is the set of possible values of k if 2k=m+3
    8·1 answer
  • Shade the model to 0.5 x 0.3
    6·2 answers
  • What are the coordinates of the fourth point that could be connected with (–4, 0), (1, 0), and (1, 5) to form a square?
    5·1 answer
  • Dante plans to put 80% of his paycheck into a savings account and spend the other 20%. His paycheck this week was 295$. About ho
    14·1 answer
  • PLZ HELP IM MARKING BRAINLIEST
    10·1 answer
  • -7b&lt; -35<br> =less than or equal two
    6·1 answer
  • the track at Morgans School is 1/4 mile long. he runs 8 laps around the track how far did Morgan run?
    12·2 answers
  • I need help with this PLEASE!!
    9·1 answer
  • How to find rations in triangles
    15·2 answers
  • Bernice wants to buy two
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!