Answer:
The diameter is 6
Step-by-step explanation:
the radius is just half of the diameter so 2x3= 6
Answer:
Step-by-step explanation:
You know these ordered pairs are considered a function, because the x intercepts do not repeat themselves. In other words, each input numbers are different. If these ordered pairs were not a function, the x intercept would be repeating. For example, 22 is already a x intercept, (22,4), if 22 was put in as another x intercept like,(22,1) these ordered pairs would not be a function.
Here, we can set up a proportion:
34 ÷ 3/4 = ? ÷ 1
34*1 = 34
34÷3/4 = the time needed to build one toyboat
34/3/4 = 45.3333333333
45.3 repeating is not a whole number, so we need to approximate.
45 is the closest whole number,
So.. a machine can paint 45 toy boats per hour.
I really hope that helped! :)
Answer:
7w^3/5v
Step-by-step explanation:
42v^3w^4/30v^4w
42 = 6 * 7
30 = 6*5 , factor
6*7v^3w^4/6*5v^4w
6 is common, cancel
7v^3w^4/5v^4w
simplify w^4/w = w^3
v^3/v^4 = 1/v
therefore, 7w^3/5v is the answer
Answer:
x = π/3, x = 5π/3, x = 4π/3
Step-by-step explanation:
Let's split the given equation (2cosx-1)(2sinx+√3 ) = 0 into two parts, and solve each separately. These parts would be 2cos(x) - 1 = 0, and 2sin(x) + √3 = 0.

Remember that the general solutions for cos(x) = 1/2 are x = π/3 + 2πn and x = 5π/3 + 2πn. In this case we are given the interval 0 ≤ x ≤2π, and therefore x = π/3, and x = 5π/3.
Similarly:

The general solutions for sin(x) = - √3/2 are x = 4π/3 + 2πn and x = 5π/3 + 2πn. Therefore x = 4π/3 and x = 5π/3 in this case.
So we have x = π/3, x = 5π/3, and x = 4π/3 as our solutions.