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: She is incorrect because 0 + 0 = <u>0</u>
<span>f = v + at
Subtract v from both sides.
f - v = at
Divide both sides by a.
(f - v)/a = t
Switch sides.
t = (f - v)/a
</span>
Step-by-step explanation:
length = (2x + 3) units
width = (x - 7) units
Area = 2( length × width)
Area = 2( (2x + 3) × (x - 7) )
Area = 2( 2x² - 14x + 3x - 21)
Area = 2 ( 2x² -11x - 21)
Area = 4x² - 22x - 42
Alright so turn 3/4 into a decimal.
3/4 =.75
We need to set up an equation. To do that are need to give boys and girls their own variables.
Girls= X
And since there is 3/4 as many boys
Boys=. 75X
Now we know the sum of boys and girls equals 35
X+.75X=35
X+.75X=1.75X
Now we have 1.75X=35
Divide by 1.75 and get
20=X
Now plug 20 into the equations got from before.
Boys =. 75*X = 20 *. 75 = 15
Girls = X =20
Your Answer:
15 boys
20 girls
You can check
20+15=35
15/20=3/4
