Answer:
A
Step-by-step explanation:
We want to solve the equation:

To do so, we can rewrite the equation.
Recall the double-angle for sine:

By substitution:

Distribute:

We can subtract 3cos(x) from both sides:

And factor:

Hence, our answer is A.
*It is important to note that we should not divide both sides by cos(x) to acquire 10sin(x) = 3. This is because we need to find the values of x, and one or more may result in cos(x) = 0, and we cannot divide by 0. Hence, we should subtract and then factor.
The given in the problem above is an arithmetic sequence with the first term equal to 4 and the common difference is 5. To determine the number of seats on row 23, use the formula, an = a1 + (n - 1) d
Solving for the 23rd term, an = 4 + (22) 5 = 114 seats
Therefore, the answer is there are 114 seats on the 23rd row.
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Answer:
C
Step-by-step explanation:
16 : 12
x : 6
- multiply 16*6 and divide by the number multiplying with the unknown (12)
(16*6)/12 = 8
- area of triangle is 1/2 h*b
so 1/2 * (16*8) = 64
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Addition and subtraction of an equilater of what?