B. The number of candies in the bags from Brand B is greater and less consistent than the number of candies in the bags from Brand A.
For this case, the first thing we must do is apply the law of the sine.
We then have the following expression:
sine (65) / x = sine (104) / 36
Clearing the value of x we have:
x = (sine (65) / sine (104)) * (36)
x = 33.6 feet
Answer:
The distance between the sandbox and garden is:
x = 33.6 feet
P = 18,000
R=6%
T=7 years
A = P ( 1 + 1 divided by r) raised to n
Substitute the numbers an u will fin the answer
Answer: -4/5
Step-by-step explanation:
Ok so cos(x) = -4/5 and we know that:
.
If we plug that in and solve for sin(x) we get:

Now we have to consider: <em>is sin(x) positive or negative?</em>
We have that
.
From the unit circle, we know that sin(x) is negative in this range. Therefore sin(x) actually equals -3/5.
But the question asks: <em>what is
?</em>
Here's where another important equation comes in:

In this case, we have alpha = x and beta = pi/2.
So, that looks like:
sin(x + pi/2 )= sin(x)cos(pi/2) + cos(x)sin(pi/2)
We already have what sin(x) and cos(x) are. We also know that sin( pi/2) = 1 and cos(pi/2) = 0.
sin(x + pi/2 ) = (-3/5)(0) + (-4/5)(1).
Therefore we simply have
sin(x + pi/2) = -4/5