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
lutik1710 [3]
3 years ago
9

A circle has a circumference of 12. It has an arc of length 8/5. what is the central angle of the arc, in degrees?

Mathematics
2 answers:
earnstyle [38]3 years ago
6 0

360⁰......12

x.............8/5=1.6

Thus:

x=1.6×360/12=1.6×30=48⁰

Answer: x=48⁰

77julia77 [94]3 years ago
5 0

Answer: The central angle of the arc is 48 degrees.

Step-by-step explanation: The question has provided the first clue, which is the circumference of the circle, given as 12 units. Also the length of an arc along the same circumference has been given as 8/5 units. The circumference of a circle is calculated as

Circumference = 2Pi x radius

Also the length of an arc is calculated as

Length of an arc = (X/360) x 2Pi x radius (where ‘X’ is the angle subtended by the arc).

Having known the answer to 2Pi x radius which is 12, and the length of the arc which is 8/5, we can now express the length of an arc as

Length of an arc = (X/360) x 2Pi x radius

8/5 = (X/360) x 12

By cross multiplication we now have

(8 x 360)/ (5 x 12) = X

2880/60 = X

48 = X

Therefore the central angle of the arc is 48 degrees.

You might be interested in
How do I find the all of the angle measures of a kite with only one given angle?
ohaa [14]
Use the geometery rules of a kite to fiugure it out
8 0
3 years ago
What equation is equivalent to x + 8 = 21
san4es73 [151]

Answer:

x= 13

Step-by-step explanation:

x + 8 = 21

x + 8-8 = 21-8

x = 13

7 0
3 years ago
Read 2 more answers
Let n be a natural number. Show that 3 | n3 −n
Vladimir [108]
Let n=1. Then n^3-n=1^3-1=0. By convention, every non-zero integer n divides 0, so 3\vert n^3-n.

Suppose this relation holds for n=k, i.e. 3\vert k^3-k. We then hope to show it must also hold for n=k+1.

You have

(k+1)^3-(k+1)=(k^3+3k^2+3k+1)-(k+1)=(k^3-k)+3(k^2+k)

We assumed that 3\vert k^3-k, and it's clear that 3\vert 3(k^2+k) because 3(k^2+k) is a multiple of 3. This means the remainder upon divides (k+1)^3-(k+1) must be 0, and therefore the relation holds for n=k+1. This proves the statement.
4 0
3 years ago
Y = x + 5<br> 2x + y = 17
larisa [96]

Answer:

y = x + 5: x=y−5

2x + y = 17 : x=-1/2y+17/2

Step-by-step explanation:

I do not exactly know what you were asking but I just answered the questions, if that is not what you were looking for tell me so I can try and edit my answer

8 0
3 years ago
Find the slope<br> Find the slope
Goshia [24]
The answer to the question is 2
4 0
2 years ago
Other questions:
  • Find the surface area of a triangular prism that has the following dimensions. Use the formula SA = 2B + Ph.
    7·2 answers
  • Can u put this from least to greatest 0.5 0.45 3/5
    11·1 answer
  • What is the answer to<br> 56 is 28% of
    5·2 answers
  • What does 24 times 4 equal
    8·2 answers
  • Convert 65,000,000 to scientific notation please help!!
    13·1 answer
  • Somebody plz help with this asap
    7·1 answer
  • 8.7(9.483 find the quotient
    15·1 answer
  • Why must the vertex of an isosceles triangle be an even number
    12·1 answer
  • At Karl's Exact Ice-Cream, Karl fills each cone completely and tops it off with a scoop on top. Approximately how much ice-cream
    13·1 answer
  • The largest Prime number less than 100 is ?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!