105° can be expressed as 60°+45°. What we have then is sin(60°+45°). The sum pattern for sin is sin(a)cos(b)+cos(a)sin(b). We will fill in as follows: sin(60)c0s(45)+cos(60)sin(45). Now draw those special right triangles in the first quadrant to get the exact values for each. The sin of 60 is

, the cos of 45 is

, the cos of 60 is 1/2, and the sin of 45 is

. When we put all that together we get

. Simplifying all of that we have

. We can put that over the common denominator that is already there and get

. Not sure if that's simplified enough; you may be at the point in class where you are rationalizing your denominator, but I'm not sure, and if you're not, I don't want to confuse you.
Answer:
1933
there where a total number of 20 hurricanes recorded that year
Answer:
3.1 seconds
Step-by-step explanation:
The time it will hit the ground is when the <em>height is equal to 0</em>. So we plug in 0 in h and solve the quadratic equation for t.

We will use the quadratic formula [
] to solve this.
a is -16
b is 40 , and
c is 30.
plugging these into the formula we get:

Since time cannot be negative, we take t = 3.1 as the value
So it will take 3.1 seconds to hit the ground (target)
Answer:
the answer is -> D. - 2x + 6