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
erica [24]
3 years ago
7

PLEASE HELP!

Mathematics
1 answer:
notka56 [123]3 years ago
4 0
The arc length is:
 S = R * theta
 Where,
 R: Radio
 Theta: central angle
 Substituting values we have:
 Circle A:
 Sa = Ra * (140/360) * 2π
 Circle B:
 Sb = Rb * (140/360) * 2π
 The relationship of arcs is:
 Sa / Sb = (Ra * (140/360) * 2π) / (Rb * (140/360) * 2π)
 Rewriting:
 Sa / Sb = (Ra / Rb)
 Substituting values:
 (3 / 4π) / Sb = 2/3
 Clearing Sb
 Sb = (3/2) (3 / 4π)
 Sb = (9 / 8π)
 Answer:
 
The length of the intercepted arc for circle B is:
 
Sb = (9 / 8π)
You might be interested in
10.
aliina [53]

Answer:

B. If an object is dropped from a height of 38 feet, the function h(t) = –16t2 + 38 gives the height of the object after t seconds.

Step-by-step explanation:

The equation that models the movement of the object is:

 

Where,

t: time

a: acceleration due to gravity

v0: initial speed

h0: initial height

Suppose that the object falls with zero initial velocity and from a height of 38 feet.

The equation that models the problem is:

 

Answer:

If an object is dropped from a height of 38 feet, the function h (t) = -16t2 + 38 gives the height of the object after seconds

Answer: If an object is dropped from a height of 38 feet, the function h (t) = -16t2 + 38 gives the height of the object after seconds

Step-by-step explanation:

6 0
3 years ago
Please help me with this problem.
mariarad [96]

Answer:

x^{\frac{8}{3}}y^{-\frac{5}{6}

Step-by-step explanation:

Remember the rule for converting radicals and exponents into fractions.  The power is the numerator of the fraction, and the nth root is the denominator of the fraction.  Also, remember that dividing by an exponent means the exponent will be negative.

\frac{\sqrt[3]{x^{8} } }{\sqrt[6]{y^{5} } } \\\\\frac{x^{\frac{8}{3} } }{y^{\frac{5}{6} } } \\\\x^{\frac{8}{3}}y^{-\frac{5}{6}

8 0
3 years ago
The probability that a lab specimen contains high levels of contamination is 0.10. A group of 4 independent samples are checked.
galben [10]

Answer:

a) 0.6561

b) 0.2916

c) 0.3439    

Step-by-step explanation:

We are given the following information:

Let us treat high level of contamination as our success.

p = P(High level of contamination) = P(success) = 0.10

n = 4

The, by binomial distribution:

P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}\\\text{where x is the number of success}

a) P(No high level of contamination)

We put x = 0, in the formula.

P(X=0) = \binom{4}{0}.(0.10)^0.(1-0.10)^{4} =0.6561

Probability that no lab specimen contain high level of contamination is 0.6561

b) P(Exactly one high level of contamination)

We put x = 1, in the formula.

P(X=1) = \binom{4}{1}.(0.10)^1.(1-0.10)^{3} =0.2916

Probability that no lab specimen contain high level of contamination is 0.6561

c) P(At least one contains high level of contamination)

p(x \geq 1) = 1 - p( x = 0) = 1 - 0.6561 = 0.3439

Probability that at least 1 lab specimen contain high level of contamination is 0.3439

8 0
3 years ago
Write the following fraction as a decimal 6/5
steposvetlana [31]

Answer:1.2

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Carlos has a string that is 24 inches long he wants to divide it into three equal parts write an equation to find how long each
katrin2010 [14]

Answer: 24 ÷ 3


Step-by-step explanation: You do 24÷3 because he has a string that is 24 inches long and if he wanted to divide it into 3 equal pieces . You would get 8 inches long for each piece (8x3) or (3x8)


4 0
3 years ago
Other questions:
  • At the grocery Store,ayla buys 1 one third pounds of ground turkey.Tasha buys 2 times as much ground turkey as ayla. How much gr
    7·1 answer
  • An object is traveling around a circle with a radius of 10 cm. If in 20 seconds a central angle of 1/3 radian is swept out, what
    11·1 answer
  • If Sandy can afford car payments of ​$260 per month for 3 ​years, what is the price of a car that she can afford​ now? Assume an
    5·1 answer
  • Monique had 6 dollars. She found 25 cents and then bought a book. She ended up with 7 quarters. Which expression equals the numb
    13·2 answers
  • What is the probability of rolling a number greater than 2 with a 6 sided die, three times in a row?
    5·1 answer
  • ethan ate 4/8 of the sandwich.Andy ate 1/2 of the sandwich. the sandwiches were the same size whose sandwich had more equal part
    7·1 answer
  • What is the measure of angle XYZ?
    11·2 answers
  • WILL GIVE BRAINLYEST<br><br> Please solve this i need it now
    14·2 answers
  • A countries population in 1992 was 83 million. In 1996 it was 88 million. Estimate the population in 2013 using the exponential
    15·1 answer
  • 1. Student ID number at a certain University are made up of a letter, followed by six 1-digit
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!