Remark
First of all, we had best correct the labeling. The adjacent is the side making up the unknown angle, and the opposite is the side not making up the given angle (in this case, x)
So you have mixed up the opposite and the adjacent. You need to switch them.
Step Two (Bottom Diagram)
Sin(x) = opposite / hypotenuse
Sin(x) = 12 / 18
Sin(x) = 2/3
Sin(x) = 0.6666666666
x = sin-1(0.66666666)
x = 41.18103
Problem One (Top One)
Sin(x) = opp/hypotenuse
Sin(x) = 4/5
Sin(x) = 0.8
x = sin-1(0.8)
x = 53.13 Answer <<<<<
Answer:
V= 904.78
Step-by-step explanation:
formula- V= 4/3(pi) • r^3
Answer:
yes
Step-by-step explanation:
There are several ways to go at this.
My first choice is to use a graphing calculator. It shows the function has a zero at x=5, so x-5 is a factor.
Another good choice is to use synthetic division (2nd attachment). If the remainder is zero, then x-5 is a factor. It is and it is.
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You can also evaluate the function at x=5. The remainder theorem tells you that if the value is zero, then x-5 is a factor. Evaluating the polynomial written in Horner form is a lot like synthetic division.
(((x -4)x -15)x +58)x -40 for x=5 is ... (-10·5 +58)5 -40 = 40-40 = 0
The value of h(5) is zero, so x-5 is a factor of h(x).
Answer:
4
Step-by-step explanation:
(y2-y1)/(x2-x1)=m
(10-2)/(3-1)
8/2
m=4
Answer:y = k x + 1
(1,3)
3 = k(1) + 1
2 = 1k
k = 2
Step-by-step explanation: