Answer:
See Explanation
Step-by-step explanation:
<em>Question like this are better answered if there are list of options; However, I'll simplify as far as the expression can be simplified</em>
Given
Required
Simplify
Represent with a
Represent with b
The expression becomes
Factorize
Recall that
The expression becomes
..............................................................................................................................
In trigonometry
Subtract from both sides
..............................................................................................................................
Substitute 1 for in
Open Bracket
------------------This is an equivalence
Solving further;
................................................................................................................................
In trigonometry
Substitute the expressions for secx and tanx
................................................................................................................................
becomes
Open bracket
Add Fraction
------------------------ This is another equivalence
................................................................................................................................
In trigonometry
Make the subject of formula
................................................................................................................................
Substitute the expressions for for
Open bracket
---------------------- This is another equivalence
Answer:
x = 4
Step-by-step explanation:
-
- divide both sides by 5
- 2x + 5 = 13 subtract 5 from both sides
- 2x = 8 divide both sides by 2
- x = 4
The answer is 10. Hope I helped
Answer:
t_a = 7 s
t_w = 5 s
Step-by-step explanation:
Given:
- The average speed in air v_a = 16 m/s
- The average speed in water v_w = 3 m/s
- The total distance D = 127 m
- The total time T = 12 s
Find:
How long did the stone fall in air and how long did it fall in the water?
Solution:
- Lets time taken by stone to drop through air as t_a = t_a.
- The time taken in water would be t_w = (12 - t_a)
- The total distance covered can be calculated as:
D = v_a*t_a+ v_w*(12 - t_a)
127 = 16*t_a + 3*(12 - t_a)
Simplify and solve for t:
91 = 16*t_a - 3t_a
13*t_a = 91
t_a = 7 s
t_w = 5 s
The given equation is
We need to solve the equation for q.
<u>Value of q:</u>
The value of q can be determined by solving the equation for q.
Thus, subtracting both sides of the equation by r, we get;
Now, dividing both sides of the equation by b, we have;
Simplifying the terms, we get;
Therefore, the value of q is
Hence, Option B is the correct answer.