All categories

3 years ago

PLEASE HELP!

1 answer:

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