The relationship between radius (r), angle (θ), and arc length (s) is given by
.. s = r*θ . . . . . . . . θ in radians
.. s = (5 cm)*(210π/180)
.. s = 35π/6 cm
.. s ≈ 18.33 cm
The answer is B and put the question next time
First, we have to find how much supply of raisins she uses. It is 1/4+3/8=5/8. It makes the total 5 pounds of raisins that she uses. Constructing an equation, we can find how much raisins are available in her supply.

. And the x= 8.
Answer:
Third choice:

Explanation:
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<u>1. Data:</u>
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- Cobalt-60's half-life: 5.3 years
- Initial mass of cobalt-60: 50 mg
<u>2. Unknown: </u>
<u />
- equation for the mass of cobalt-60 remaining after 10 years = ?
<u>3. Solution</u>
<em>Half-life</em> is the time it takes a sample to decay to half of its initial amount. It is considered constant. Hence, when one half-life passes, the sample has decayed to 50% of the original amount; when two half-lives pass, the sample has decayed to (1/2)×(1/2) = 1/4 = 25%; when three half-lives have elapsed, the sample has decayed to (1/2)³ = 1/8 = 12.5% of its original amount, and so on.
Then, the amound of a sample remaining is calculated as the original amount times (1/2) raised to the number of half-lives elapsed, which is what the given function,
models.
You just must substitute the data into the function to get the answer to the question:

Where, 50 is the original mass of 50g, 0.5 is equal to 1/2, and 10/5.3 gives the number of half-lives (the number of times that 5.3 years is contained in 10 years).
<u>Simplifying:</u>

Which corresponds to the third choice of the list.
<u>Computing:</u>

Which also corresponds to the third choice.
1/
V=44.312 in^3
2/
V=42.453 in^3
3/
V=75.36 in^3
4/
V=696.557 in^3
5/
V=671.175 in^3. Hope it help!