The answer is the letter b cos u = 1 /sec u
When you use it in the left side of the identity that you want to verify, sec y cos y = 1 , you get this:
sec y cos y = 1
[sec y ] [ 1 / sec y ] = 1
[sec y] / [sec y] = 1
1 = 1 which proves the idenity.
Answer:
x=56
Step-by-step explanation:
I may be wrong but
That’s a pentagon so
5-2=3
180x3=540 ( total area of a pentagon)
89+99+72= 260
540-260=280
3+2=5
280/5=56
x=56
Answer:
a. After the first bounce, the ball will be at 85% of 8 ft. After 2 bounces, it'll be at 85% of 85% of 8 feet. After 3 bounces, it'll be at (85% of) (85% of) (85% of 8 feet). You can see where this is going. After n bounces the ball will be at
b. After 8 bounces we can apply the previous formula with n = 8 to get
c. The solution to this point requires using exponential and logarithm equations; a more basic way would be trial and error using the previous 
increasing the value of n until we find a good value. I recommend using a spreadsheet for that; the condition will lead to the following inequality:
Let's first isolate the fraction by dividing by 72.
Now, to get numbers we can plug in a calculator, let's take the natural logarithm of both sides:
. Now the two quantities are known - or easy to get with any calculator, replacing them and solving for n we get:
Now, since n is an integer - you can't have a fraction of a bounce after all, you pick the integer right after that, or n>27.
Answer: Jim’s house is closer to the mall by 3 miles.
