Answer:
C
Step-by-step explanation:
cot =cos/sin =a/b
cos=a/b*sin
(sin-cos)/(sin+cos) =(sin-sin*a/b)(sin+sin*a/b)
=(1-a/b)/(a+a/b)
=(b-a)/(a+b)
The answer is C
By the way, that expression means "n choose k". Hope I helped!
Answer:
Step-by-step explanation:
We would liken the given scenario to distance speed and time relationship. The formula for determining average speed is
Total Distance/ total time
Since the distance between Earth and Mars is 108 million miles(108 × 10^6) the trip takes 245 days, then on average, the number of miles that the astronauts would travel each day would be
108 × 10^6/245 = 440816 miles per day
Writing in powers of 10, it becomes 4.4 × 10^5 miles per day
Rounding to the nearest whole number, it becomes 4 × 10^5 miles per day
Answer:
x = 12
Step-by-step explanation:
First you figure out which function your going to use. I notice that from the angle we have 5 which is the opposite side and 23 which is the adjacent side. This means we have to use tangent.
Then set up your equation: tan(x)=5/23. This is because the opposite side is 5 and the adjacent is 23 and it must be set up in that order.
Next get x alone by making the equation: x=tan^-1(5/23).
Then put it into the calculator and round to get 12.
Answer:
30 students
Step-by-step explanation:
24 over 80 is equal to x over 100
cross multiply and you get
80x =240
divide 80 on both sides
you get 3
add an extra sero
