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
Levart [38]
3 years ago
11

A circle has central angle measuring 2pi/5 radians that intersects an arc of length 20cm what is the length of the radius of the

circle round your answer to the nearest whole cm use 3.14 for the pi
Mathematics
1 answer:
Alik [6]3 years ago
8 0
<h2>Answer:</h2><h2>The radius of the circle = 15.92 cm</h2>

Step-by-step explanation:

Given, the central angle of the arc = \frac{2\pi }{5} = 1.256

Length of the arc = 20 cm

Radius of the circle = ?

Radius of the circle = \frac{arc length}{central angle} = \frac{20}{1.256} = 15.92 cm

You might be interested in
A certain brand of dinnerware set comes in three colors: red, white, and blue. Twenty percent of customers order the red set, 45
denis23 [38]

Answer:

a) 0.20

b) 0.45

c) 0.65

d) Yes

e) Yes

f) Z = X + Y (except when X = 1 and Y = 1)

This is because the successes of X and Y are mutually exclusive events but their failures aren't. X and Y cannot both be 1.

Step-by-step explanation:

Probability of a red set = 20% = 0.20

Probability of a white set = 45% = 0.45

Probability of a blue set = 35% = 0.35

Probability of the single set being a red or white set = 20% + 45% = 65% = 0.65

P(X=1) = 0.20, P(X=0) = 1 - 0.2 = 0.80

P(Y=1) = 0.45, P(Y=0) = 1 - 0.45 = 0.55

P(Z=1) = 0.65, P(Z=0) = 1 - 0.65 = 0.35

a) pX = P(X=1) = 0.20

b) pY = P(Y=1) = 0.45

c) pZ = P(Z=1) = 0.65

d) Since only one order is being considered at a time, it isn't possible to order red & white set in a single set, hence, both X and Y cannot both be successes (equal to 1) at the same time. But they can both be failures (both equal to 0) if a blue set is ordered. The successes of X and Y are mutually exclusive events but their failures aren't

e) Is pZ = pX + pY

pX = 0.2, pY = 0.45, pZ = 0.65

Hence, this statement is correct!

f) Z = X + Y

Let's check all the probabilities

when X = 1 and Y = 1, Z = 1

1 ≠ 1 + 1

when X = 0 and Y = 1, Z = 1

1 = 0 + 1

when X = 1 and Y = 0, Z = 1

1 = 1 + 0

when X = 0 and Y = 0, Z = 0

0 = 0 + 0

Hence, Z = X + Y (except when X = 1 and Y = 1)

This is because the success of X and Y are mutually exclusive events but their failures aren't.

8 0
3 years ago
What is the value of the 1 in 9.154
Andrej [43]
What is the value of 1 in 9.54, The value of the one is 1 tenth its in the tenths spot

5 0
3 years ago
We now want to solve for x.
mart [117]
-4x=-12

X=3
I’m pretty sure that is correct
7 0
2 years ago
Read 2 more answers
Factor completely 16a^3b^7 + 2a^6b^4 - 22a^4b^5
Alina [70]

Answer:

2a^3b^4(8b^3+a^3-11ab)

Step-by-step explanation:

as^3b^4(8b^3) +2a^6b^4-22a^4b^5\\2a^3b^4(8b^3)+2a^3b^4(a^3)-22a^4b^5\\2a^3b^4(8b^3)+2a^3b^4(a^3)+2a^3b^4(-11ab)\\2a^3b^4(8b^3+a^3)+2a^3b^4(-11ab)\\2a^3b^4(8b^3+a^3-11ab)

4 0
3 years ago
Help :( please help
adoni [48]

Answer:

3x + 9

Step-by-step explanation:

it is always equal to its self

7 0
3 years ago
Other questions:
  • The sum of two times x and one is at least 11. Write this word sentence as an inequality
    9·1 answer
  • I need help with this one
    12·1 answer
  • An architect makes a model of a new house with a patio made with pavers. In the model, each paver in the patio is 1/3 in. long a
    15·2 answers
  • Which of the following loans will typically have the highest interest rate?
    8·2 answers
  • How many $3.50 can you buy for a million, 10^6, dollars?
    13·1 answer
  • Find the volume for the regular pyramid.<br><br> V =
    10·2 answers
  • $4.20 × $ 5.00=<br><br>A. $12.50<br><br>B. $21.00<br><br>C. $21​
    11·2 answers
  • Find the Area of the circle. Use 3.14 for π. Round your answer to the nearest tenth.
    9·2 answers
  • Giveaway time!!! Get your free 50 points
    7·2 answers
  • A 30−60−90 triangle has a longer leg with length 53√4 and a hypotenuse with length 5/2 . What is the length of the shorter leg?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!