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
german
3 years ago
14

Tara is shown a picture of a dart board along with some dimensions. She knows that each triangular section in the dartboard is c

ongruent. What is the approximate length of arc x?

Mathematics
1 answer:
Romashka [77]3 years ago
4 0

Answer:

The approximated length of arc x is 4 inches ⇒ C

Step-by-step explanation:

  • The diameter of the outer circle is 28 inches
  • There is a boundary with width 2 inches

That means the diameter of the inner circle is less than the diameter of the outer circle by 4 inches (2 in from each side)

  • The diameter of the inner circle = 28 - 4 = 24 inches

The circumference of the inner circles formed from 20 congruent arcs of length x inches

  • The circumference of the inner circle = 20 x

Now let us find x

The formula of the circumference of a circle is C = π d, where d is the diameter of the circle

∵ The diameter of the inner circle is 24 inches

∴ d = 24

∴ C = 24 π

∵ C = 20 x

- Equate 20 x by 24 π

∴ 20 x = 24 π

- Divide both sides by 20

∴ x = 3.769911184

- Round it to the nearest unit

∴ x ≅ 4

The approximated length of arc x is 4 inches

You might be interested in
<img src="https://tex.z-dn.net/?f=%7B%20%5Ccolor%7Bdarkred%7D%7B%282%2B%E2%88%9A3%29%2B%284-%E2%88%9A3%29%7D%7D%20%3D%20%20%3F"
BabaBlast [244]

(2 +  \sqrt{3} ) + (4 -  \sqrt{3} ) \\  = 2 +  \sqrt{3}  + 4 -  \sqrt{3}  \\  = 2 + 4 \\  = 6

Answer:

6

Hope you could get an idea from here.

Doubt clarification - use comment section.

8 0
3 years ago
Read 2 more answers
Dr. Ramirez just started an experiment. He will collect data data for 7 days. How many hours is this?
amm1812

Answer:

168 hours I think

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Please help find mDF!!
Natalka [10]

9514 1404 393

Answer:

  72°

Step-by-step explanation:

The external angle E is half the difference of subtended arcs CG and DF.

  E = (CG -DF)/2

  2E = CG -DF . . . . . . multiply by 2

  DF = CG -2E = 160° -2(44°) . . . . . add DF-2E to both sides; substitute values

  arc DF = 72°

4 0
3 years ago
Which is the best estimate of the correlation coefficient for the scatter plot?
leva [86]

The best estimate for this correlation would be B) 0.9.

We can see that the number is constantly going up, which would throw out the D answer.

We can also see that for every time the x goes up 1, the y goes up a little less than one. We can see that in the ordered pairs that exist on the graph such as (3, 2), (8, 6) and (2.1, 1.9).

Since the y values are just lower than the x, the correlation would be just under one. Therefore, 0.9 is an accurate estimation.

7 0
3 years ago
Read 2 more answers
-6k + 7k simplified the expression
Evgen [1.6K]

Answer:

1k

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • Whats 2+2 equal when the answer is not 4
    9·2 answers
  • The Kwon family has a rainwater catchment system they use to water their garden. After 3 days without rain, the depth of water i
    8·2 answers
  • A rate is when one unit of measure changes in terms of another. When you see the word "per" you know that you are dealing with r
    8·1 answer
  • How is the range of a periodic function related to its amplitude? Explain.
    5·1 answer
  • Charlie dve 208 miles in 4 hours at a constant speed he continues at that speed give the equation that shows the relationship be
    10·1 answer
  • Can someone help me with this: y=-5x+5
    14·2 answers
  • Help! I need help on #6.
    13·1 answer
  • What is the solution of the system of linear equations graphed below ? PLEASE HELP
    15·1 answer
  • 73 term of the arithmetic sequence-28,-41,-54
    14·1 answer
  • the ratio of red circles to blue circles is 1:3 how many more red circles would need to be added to make the ratio of red to blu
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!