<u>Answer:</u>
The correct answer option is C. S = 54.6°.
<u>Step-by-step explanation:</u>
We are given a right angled triangle with two known sides,
and
.
We are to find the value of the angle
.
For that, we will use sine.



S = 54.6°
Answer:
6(2 + 2/3x) = 12 + 4x
Step-by-step explanation:
...............
Answer:
Step-by-step explanation:
We are provided logarithmic equation , which is ,
- Here we took the base as 10 , since nothing is mentioned about that in Question .
Say if we have a expoteintial equation ,
<u>In</u><u> </u><u>logari</u><u>thmic</u><u> </u><u>form</u><u> </u><u>it</u><u> </u><u>is</u><u> </u><u>,</u><u> </u>

Similarly our required answer will be ,
Answer: 
<u>Step-by-step explanation:</u>
There are 3 conditions that must be satisfied:
- f(x) is continuous on the given interval
- f(x) is differentiable
- f(a) = f(b)
If ALL of those conditions are satisfied, then there exists a value "c" such that c lies between a and b and f'(c) = 0.
f(x) = x³ - x² - 6x + 2 [0, 3]
1. There are no restrictions on x so the function is continuous 
2. f'(x) = 3x² - 2x - 6 so the function is differentiable 
3. f(0) = 0³ - 0² - 6(0) + 2 = 2
f(3) = 3³ - 3² - 6(3) + 2 = 2
f(0) = f(3) 
f'(x) = 3x² - 2x - 6 = 0
This is not factorable so you need to use the quadratic formula:

Only one of these values (1.8) is between 0 and 3.