Factor out the cos<span>θ:
</span>cosθ (2sin<span>θ + sqrt3) = 0
</span>Therefore, the only ways this can happen are if either cosθ = 0 or if (2sin<span>θ + sqrt3) = 0
</span>The first case, cosθ = 0 only at θ <span>= pi/2, 3pi/2.
</span>The second case, <span>(2sin<span>θ + sqrt3) = 0 simplifies to:
</span></span>sin<span>θ = (-sqrt3)/2
</span><span><span>θ = 4pi/3, 5pi/3
</span></span><span><span>Therefore the answer is A.
</span></span>
Answer:
She needs 4 yards.
Step-by-step explanation:
To multiply fractions, you just multiply the whole number by the numerator of the fraction.
<em>The numerator is the top number of a fraction.</em>
<em>The denominator is the bottom number of a fraction.</em>
You can think of the whole number 6 as the fraction 6/1.
<h3>Step 1</h3>
Multiply 6/1 by 2/3
6x2=12
1x3=3
So, 6/1x2/3=<u>12/3</u>
<u></u>
<h3>Step 2</h3>
Now you need to simplify the fraction
Because the numerator is a muliple (number that can be devided by) of 3, devide the numerator by the denominator.
12÷3=4
<h2>
So betty needs 4 yards of fabric to make 6 skirts.</h2>
<em>I'm sorry and I feel that your probably going to get mad, but we can't answer this question without knowing what those drag-and-drop options are! I hope that you can quickly re-post this, and then I will be able to help you! Sorry!</em>
<em />
<em>Miri</em>
<em />
26 inches. Technically, since this is a perimeter problem, you need to add each length to itself and then the others. If this is confusing, you essentially need to do 5+5+8+8=26 because you have two of the fives and two eights. Perimeter is much easier than area, I promise you that
Answer:
Step-by-step explanation:
Hi so 2/3
where slope means rise over run
so it means the first point or you slope(x1 y1)
and you take that point, go up 2 on Y, and move 6 unit to the left(x)