Answer:
12
Step-by-step explanation:
For the top triangle, he has 3 options
3C1 = 3
For the middle one, he can't use the top triangle's colour, so 2 options
2C1 = 2
For the ones on sides of the middle one, 2 options each
2C1 × 2C1 = 4
3 × 2 × 2 × 2 = 24
These include all three outer ones same, so subtract 3
Also, these include 2 of the three outer ones same, so subtract:
3C2 × 3 = 9
24 - 3 - 9 = 12
Answer:
choice C. Yes, this image proves the pythagorean theorem is true because 9 + 16 = 25
Step-by-step explanation:
First, lets note that

. This leads us with the following problem:

Lets add sin on both sides, and we get:

Now if we divide with sin on both sides we get:

Now we can remember how cot is defined, it is (cos/sin). So we have:

Now take the inverse of cot and we get:

In general we have

, the reason we have to add pi times n, is because it is a function that has multiple answers, see the picture:
Answer:
14
Step-by-step explanation:
3(4)+2
12+2
14
Answer:
12 in
Step-by-step explanation:
the arc length formula is s = rФ, where Ф is the central angle in radians.
Here, the arc length is s = (4 in)(3 radians) = 12 in