Convert the decimal to a percent.
1 answer:
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Answer:
6 : 5
Step-by-step explanation:
Rate =
But Rate is also equal to number of lawns mowed in a certain amount of time.
Since ratio should always be in terms of simple whole numbers.
If 6/5 lawns are mowed in 1 hour, then,
6 lawns will be mowed in:
=
= 5 hours.
therefore, 6 laws will be mowed in 5 hours.
Ratio of lawns to hours in 6:5
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