Answer:
x = -2π5, x = 2π5
Step-by-step explanation:
The absolute value sign just mean that both the negative and positive value in the |...| would give you the answer. Remember how |7|=7 and |-7|=7 too?
In this case
sin(2π5) = |sin x|
is the same as...
- sin(2π5) = sin(x)
- sin(2π5) = -sin(x)
solve for x in these two cases.
In case (1) sin(2π5)= sin(x)
sin(2π5) = sin(x)
The stuff inside the parentheses must e the same so x=2π5.
In case (2) sin(2π5) = -sin(x)
A property of sine is that it's an odd function. This means you can move the negative sign outside the parentheses and put it inside: sin(-x) = -sin(x). So lets do that to our problem.
sin(2π5) = -sin(x)
sin(2π5) = sin(-x)
as we can see, the stuff inside the parentheses must be so the same, so
2π5 = -x
-2π5 = x
Answer:
x=2
Step-by-step explanation:
Since the base angles are the same, the side lengths are the same, making this an isosceles triangle
7(x+2) = 4(9-x)
Distribute
7x+14 = 36 -4x
Add 4x to each side
7x+4x +14 = 36 -4x+4x
11x +14 = 36
Subtract 14 to each side
11x+14-14 = 36-14
11x = 22
Divide by 11
11x/11 =22/11
x=2
Answer:
Yes
Step-by-step explanation:
1 dozen = 12
dozen = 2.5 * 12 = 30
She has 30 balloons, so yes, there are enough balloons.
Answer:
0.17
Step-by-step explanation:
Step-by-step explanation:
multiply all the fractions together in your calculator :)