By definition, we have
So, we have to solve two different equations, depending of the possible range for the variable. We have to remember about these ranges when we decide to accept or discard the solutions:
Suppose that 
In this case, the absolute value doesn't do anything: the equation is
We are supposing 
, so we can accept this solution.
Now, suppose that 
. Now the sign of the expression is flipped by the absolute value, and the equation becomes
Again, the solution is coherent with the assumption, so we can accept this value as well.
Answer:
<I= 15degrees
Step-by-step explanation:
Using the cosine rule formulae;
j² = i²+k²-2i cos <J
j² = 37²+57² - 2(37)(57)cos <141
j² = 1369+ 3249- 4218cos <141
j² = 4618- 4218cos <141
j² = 4618-(-3,278)
j²= 7,896
j = √7,896
j = 88.86inches
Next is to get <I
i² = j²+k²-2jk cos <I
37² = 88.86²+57² - 2(88.86)(57)cos <I
1369 = 7,896.0996+ 3249- 10,130.04cos <I
1369 = 11,145.0996 - 10,130.04cos <I
1369 - 11,145.0996 = - 10,130.04cos <I
-9,776.0996=- 10,130.04cos <I
cos <I =9,776.0996 /10,130.04
cos<I = 0.96506
<I = 15.19
<I= 15degrees
Answer:
8.4 * 10^6
Step-by-step explanation:
8.4 * 10^6
1 million = 1 * 10^6
8 million 4 hundred thousand is 8.4 * 10^4 because this number is 8.4 times bigger than a million.
Answer:
<u>It's expected that Jason make 16 out of 20 free throws</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Jason's free-throw scoring average = 80%
2. In a recent game Jason attempted 20 free throws. How many free throws would you expect him to make?
Free throws expected to make by Jason = 20 * 80%
<u>Free throws expected to make by Jason = 16</u>
