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.
Answer:
114 degrees
Step-by-step explanation:
Hi there.
Line segment LN is a straight line, meaning that it contains a straight angle (an angle measuring 180 degrees).
We know that if this is a straight angle, that
.
Therefore, m∠x = 114 degrees.
Hope this helps! :^)
Answer:
- there are 4 complex solutions
- 3 real zeros and 2 complex zeros
Step-by-step explanation:
1. Descarte's rule of signs tells you there are 0 positive real roots and 0 or 2 negative real roots. (for positive x, signs are ++++ so have no changes; for negative x, signs are ++-+, so have 2 changes.) A graph shows no real roots.
2. There are 3 sign changes in the given polynomial, so 3 or 1 positive real roots. When the sign of x is changed, there are 2 sign changes, so 0 or 2 negative real roots. A graph shows 2 negative and one positive real root (for a total of 3), so the remaining 2 roots are complex.
Answer:
The answer is y=24
Step-by-step explanation:
The <u>triangle is a 30-60-90 triangle</u>, which means that the it follows the <em>respective ratio of x:x</em>
<em>:2x. </em>Since we know that the 30 degree value is 8
, we can establish that the 60 degree value is 8
*
= 24.
Answer:
x = 
Step-by-step explanation:
Given
A =
xy
Multiply both sides by 2 to clear the fraction
2A = xy ( divide both sides by y )
= x