Answer:
y =
Step-by-step explanation:
using the addition formula for sine
sin(x + y) = sinxcosy + cosxsiny
then
sinxcosy + cosxsiny = sinx + cosx
for the 2 sides to be equal , then
cosy = and siny =
then
y = ( ) =
and
y = ( ) =
thus y =
Answer:
<u>Option C. (0,-5)</u>
Step-by-step explanation:
See the attached figure.
As shown the shaded area represents the solution of the given inequality:
y < 6x - 4
The given options are the points:
A. (0,3) B.(0,11) C. (0,-5) D.(0,4)
Comparing the given points to the graph.
So, the point that will lie at the shaded area represent solution to the linear inequality.
So, point (0,-5) is a solution to the linear inequality.
The answer is <u>option C. (0,-5)</u>
Note: the line y = 6x-4 is graphed using the table on the graph.
Answer:
160 (not sure)
Step-by-step explanation:
400 / 2.5 = 160
160x1 = 160
2nd one - y = 3/7x + 6 , hope this helps:)
Answer:
10 hours
Step-by-step explanation:
Let's set up a proportion using the following setup.
hours/laps=hours/laps
We know that it takes him 2 hours to run 12 laps. We don't know how long it will take him to run 60 laps, so we can say it takes x hours to run 60 laps.
2 hours/12 laps=x hours/60 laps
2/12=x/60
We want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
x is being divided by 60. The opposite of division is multiplication, so multiply both sides by 60.
60*2/12=x/60*60
60*2/12=x
10=x
It will take Lebron 10 hours to run 60 laps.