Lines that appear tangent are tangent. What is the value of x?

What is the circumference of the following circle? d=4<br> PLEASE HURRY

forsale [732]

Answer:

12.57

Step-by-step explanation:

12.57

I used a calc have a good day!

4 0

3 years ago

How many pairs of potential clients can be randomly chosen from the pool of eight candidates?

sweet [91]

1 12 13 14 15 16 17 18
2 23 24 25 26 27 28
3 34 35 36 37 38
4 45 46 47 48
5 56 57 58
6 67 68
7 78
8
approximately 28 pairs. (breakdown above) hope this helps

4 0

3 years ago

Read 2 more answers

Given an expression can you write an equivalent form of the expression and explain the properties you used?

weeeeeb [17]

What is the expression? Tell me and I will help you.

6 0

3 years ago

What is the Factor 4m^3-32n^3

Klio2033 [76]

Answer:

2(47m^3-16n^3)

Step-by-step explanation:

7 0

3 years ago

For 0 ≤ ϴ < 2π, how many solutions are there to tan(StartFraction theta Over 2 EndFraction) = sin(ϴ)? Note: Do not include va

Black_prince [1.1K]

Answer:

3 solutions:

$\theta={0, \frac{\pi}{2}, \frac{3\pi}{2}}$

Step-by-step explanation:

So, first of all, we need to figure the angles that cannot be included in our answers out. The only function in the equation that isn't defined for some angles is $tan(\frac{\theta}{2})$ so let's focus on that part of the equation first.

We know that:

$tan(\frac{\theta}{2})=\frac{sin(\frac{\theta}{2})}{cos(\frac{\theta}{2})}$

therefore:

$cos(\frac{\theta}{2})\neq0$

so we need to find the angles that will make the cos function equal to zero. So we get:

$cos(\frac{\theta}{2})=0$

$\frac{\theta}{2}=cos^{-1}(0)$

$\frac{\theta}{2}=\frac{\pi}{2}+\pi n$

or

$\theta=\pi+2\pi n$

we can now start plugging values in for n:

$\theta=\pi+2\pi (0)=\pi$

if we plugged any value greater than 0, we would end up with an angle that is greater than $2\pi$ so, that's the only angle we cannot include in our answer set, so: