Answer:
I don't know how I would know but if he takes 30 minutes or less on each individual activity then he is correct, if he exceeds those limits, he is incorrect.
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
sin x 1
------------------- = -----------
sec^2 x - tan ^2 x csc x
Sec = 1/cos and tan = sin/cos
sin x 1
------------------- = -----------
1/ cos ^2 x -sin^2/cos ^2 x csc x
Factor the denominator
sin x 1
------------------- = -----------
(1-sin^2 x)/ cos ^2 x csc x
We know that 1 - sin^2 x = cos ^2
sin x 1
------------------- = -----------
(cos^2 x)/ cos ^2 x csc x
sin x 1
------------------- = -----------
1 csc x
Multiply the top and bottom of the left hand side by 1/ sin x
sin x * 1/ sin x 1
------------------- = -----------
1 * 1 sin x csc x
1 1
------------------- = -----------
1 sin x csc x
We know that 1/sin x = csc
1 1
--------- = -----------
csc (x) csc x
Answer:
You have to invest $6,250
Step-by-step explanation:
very simple applying the simple interest formula which is

Given data
A, final amount
= $10,000
P, initial principal balance= ?
r, annual interest rate
= 7.5%
t, time (in years)= 8 years
we can substitute our given data to find the principal needed.

Divide both sides by 1.6 we have

P= $6,250
Answer: c=7
Step-by-step explanation:
8c = 56 Divide both sides by 8
c = 7