Being able to do this problem hinges mainly on your knowing the definitions of the trig functions and being able to read side lengths from the given diagram.
csc theta = hypotenuse / opp side = 4 / √(4^2 + 5^2) = 4 / √41.
sin theta is the reciprocal of csc theta, or √41 / 4.
cot theta is adj side / opp side = 5/4.
The radius of the circle is 15 cm,
The diameter of the circle is 30 cm,
The circumference of the circle is 94.248 cm,
The area of the circle is 706.86 cm^2
The radius is given in the diagram as half the circle, which is 15 cm.
The diameter is double the radius because the diameter measures the circle from edge to edge, so 15•2=30 cm.
The circumference of the circle is 2•3.14•r=C,
2•3.14=6.28, 6.28•15= 94.248 cm.
The area of the circle is 3.14•r^2, so the radius squared is 225 (15•15) and 225•3.14=706.86 cm squared :)
Answer:
B. 6.5
Step-by-step explanation:
You can use the 5 against the unknown number and add a few more moves which makes it 6.5.. It's easier in my head man.
The full answer would be 83.454 but you can just say 83 pounds. Both are right
Answer:
1. 
2. 
3. The first one represents Dale's commission
Explanation:
1. The composition of the function
means that you first apply the function g(x) and then f(x) on the output of g(x).
That is:
- f(x) = 0.05x
- g(x) = x - 3000


2. The composition of the function
means that you first apply the function f(x) and then g(x) on the output of f(x).
That is:

3. Which one represents Dale's commission
To calculate Dales's commision you must subtract $3,000 from the sales, to find the sales over $3000. That is: x - 3,000, which is the function g(x).
Therefore, you first use g(x).
Then, you must multiply the output of g(x) by 0.05 to find the 5% of the sales over $3,000. That is: 0.05(g((x)) = 0.05(x - 3000) = 0.05x - 150.
Therefore, the composition that represents Dale's commission is the first one:

