Answer:
x = 8.0
Step-by-step explanation:
sin theta = opposite/ hypotenuse
sin 53 = x/10
Multiply by 10 on each side
10 sin 53= x
7.9863551 =x
Rounding to the nearest tenth
8.0 =x
Given:
where, 
.
To find:
The value of 
.
Solution:
We have,
Differentiate with respect to x.
Using chain rule, we get
Now, put x=5.
![[\because g(5)=-1,g'(5)=8]](https://tex.z-dn.net/?f=%5B%5Cbecause%20g%285%29%3D-1%2Cg%27%285%29%3D8%5D)
![[\because f'(-1)=3]](https://tex.z-dn.net/?f=%5B%5Cbecause%20f%27%28-1%29%3D3%5D)
Therefore, the value of is 24.
Answer:
$258.75
Step-by-step explanation:
Willie was being paid $24,895 per year, and he will get $28,000, let's find the difference.
$28,000 - $24,895 = $3,105 So he will be making $3,105 mor per year. THere are 12 months in a year so we need to divid our answer by 12.
$3,105/12 = $258.75
He will make $258.75 more per month if he takes the new job.
I think it is 15 or 27 so that is my answer
1 whole and 1/4 substracted to 1/3 can be written as:
1 1/4 - 1/3 =
= 5/4 - 1/3
We have to find a common denominator which is 12:
5/4 = 15/12
1/3 = 4/12
So now we just substract numerators:
15/12 - 4/12 = <u>11/12</u>
