1+tan^2(A) = sec^2(A) [Pythagorean Identities]
tan^2(A)cot(A) = tan(A)[tan(A)cot(A)] = tan(A)[1] = tan(A)
*see photo for complete solution*
Answer:
36 oz.
Step-by-step explanation:
If a 12 Oz soft drink is 80 cents, and we need to find out much many oz in in 2.40, we need to multiply 12 by 3.
because: 2.40=.80×3
so: 12×3= 36
Answer:
(a) 
(b) 
Step-by-step explanation:
Note that in this problem we have an initial population N = 50, of which 30 fulfill a certain characteristic "m" (belong to the second section). Then, from the population N, a sample of size n = 15 is selected and it is desired to know how many comply with the desired characteristic (second section).
So
Let X be the number of projects in the second section, then X is a discrete random variable that can be modeled by a hypergeometric distribution.
(a)
Therefore, to answer question (a) we use the following equation presented in the attached image:
Where:

Then:

(b)
For part (b) we have:


Answer: 7/24
Step-by-step explanation:
Five-eighths means 5/8
One-third means 1/3
The difference between 5/8 and 1/3 is
5/8 - 1/3 = 7/24
Therefore, the smallest number of equally sized pieces each fraction bar can be broken into 7/24