The radius of a circle is always half its diameter.
Therefore the radius of a circle with a diameter of 121 inches is 1/2(121).
Hence, the correct answer is r = 1/2 (121)
1) there were 32 bales added
2) 8 hours
3) 74 cards
4) 11 packs
5) $57
6) ummm...$3?
7) began with 12
8) $5 per candy bar
9) 44 students on each bus
10) $77 spent on baseball gear
Answer:
1200 Square Feet
Step-by-step explanation:
if he walks 40ft then turns 90* then walks 30ft. You take the 40ft along one side and mutiply it by the 30ft that he walks so you can get the area.
So we need to solve:
3ˣ⁻¹ = 9ˣ⁺²
To do this, we need to have the same base for both sides of the equation.
So let's go with the base of 3.
3² = 9
3ˣ⁻¹ = (3²)ˣ⁺²
3ˣ⁻¹ = 3²ˣ⁺⁴
Since the bases are the same now, we need to get rid of them and we would get:
x - 1 = 2x + 4
Subtract both sides by 2x:
-x - 1 = 4
Add 1 to both sides:
-x = 5
Divide both sides by -1:
x = -5
Answer:
C
Step-by-step explanation:
Remember the mnemonic: SohCahToa, where:

Let's determine our side lengths first.
Note that our angle is A. So, we have to determine the sides with respect to A.
The opposite side to A is 16.
The adjacent side is 12.
And the hypotenuse is 20.
With this, we can find our trig ratios:
Sine:

Substitute 16 for the opposite and 20 for the hypotenuse. This yields:

Reduce:

Cosine:

Substitute 12 for the adjacent and 20 for the hypotenuse. This yields:

Reduce:

Tangent:

Substitute 16 for the opposite and 12 for the adjacent. This yields:

Reduce:

So, our answers are:

Out of the answer choices, the choice that represents this is C.
So, our correct answer is C.
And we're done!