Answer:
C. cot theta
Step-by-step explanation:
(csc theta -cot theta )/(sec theta -1)
csc = 1/ sin
cot = cos / sin
sec = 1 / cos
Let x = theta
(1/ sin x -cos x / sin x )/(1/ cos x -1)
Getting a common denominator in the denominator and combining terms
(1- cos x)/ sinx / ( 1 - cos x) / cos x
(1- cosx) (1- cosx)
----------- ÷ ------------
sinx cos x
Copy dot flip
(1- cosx) cosx
----------- * ------------
sinx 1 -cos x
Cancel like terms
cos x / sin x
cos / sin = cot
cot x
cot theta
9514 1404 393
Answer:
x +7
Step-by-step explanation:
The argument of the absolute value function is positive for any x > -7. The required domain is a subset of that, so the absolute value function does not change its argument.
|x+7| for x ≥ 7 is x +7
Answer:
1 7/10
Step-by-step explanation:
After you minus the numbers you simplify them and get 1 and 7/10
Answer:
216 min
3 hours and 36 min or 3.6 hours
Step-by-step explanation:
1/9+1/6
6+9/54
15/54
5/18
18/5
60*18/5
1080/5
/= fraction sign
3.6 hours
Step-by-step explanation:
Blake can do work in hours = 9
Blake can do a part of work in 1 hour = 1/9
Ned can paint the same room in six hours.
Ned can do a part of work in 1 hour = 1/6
They can do a part of work together in 1 hour = 1/9+1/6
= 5/18
Now they can do 5/18} part of work in hour = 1
So, they can do whole work in hours = 1/5/18
= 3.6
Hence it will take 3.6 hours to paint the room if they work together.