Answer:
r = 9
Step-by-step explanation:
Given that c varies directly as (r + 1) then the equation relating them is
c = k(r + 1) ← k is the constant of variation
To find k use the condition c = 8 when r = 3, then
8 = k(3 + 1) = 4k ( divide both sides by 4 )
2 = k
c = 2(r + 1) ← equation of variation
When c = 20, then
20 = 2(r + 1) ← divide both sides by 2
10 = r + 1 ( subtract 1 from both sides )
9 = r
Answer:
6.13
Step-by-step explanation:
Using Sine Law we know that

Using your figure let's assign sides and angles:
A=? B = 60° C = 70°
a = 5 b = ? c = x
If we put that into our formula:

Notice that we have too many unknowns. We need to complete at least one ratio to do this, so how do we do this?
Notice we have 2 angles given, so we solve for the third angle. The sum of all angles in any triangle is always 180°
∠A + ∠B + ∠C= 180°
∠A + 60° + 70° = 180°
∠A + 130° = 180°
∠A = 180° - 130°
∠A = 50°
Now we can use this to solve for x.

So the closest answer would be 6.13
N the xy-plane above<span>, </span>O is the center<span> of the cirlce. In the </span>xy-plane above<span>, </span>O is the center<span> of the cirlce, and the </span>measure<span> of angle AOB is pie/a radians</span>
Answer:
6 times the sum of a number and 12 is 114. The number is 17
Step-by-step explanation:
6 x 17 + 12= 114
Answer : D. 6,24,51,72,105