Answer:
x^12
Step-by-step explanation:
multiply 4 and 3
x^4*3 = x^12
Answer:
15 x 6 x 8
Step-by-step explanation:
total money is cost per lawn times number of lawns per week times number of weeks
cost per lawn is $15
number of lawns per week is 6
number of weeks is 8
so cost total money is 15 x 6 x 8 which is none of them
where did the 20 and 11 come from?
The way to work out how much each person gets is to find out how much one part is worth.
We can do this by adding the ratio (1:2) which gives us 3.
Divide £120 by 3 parts and you get £40 as one part.
Because the ratio is one part : two parts, Matt gets £40 and Cat gets £80.
sum of two angles of triangle are equal to the exterior angle of triangle
Answer:
Step-by-step explanation:
Begin by squaring both sides to get rid of the radical. Doing that gives you:
Now use the Pythagorean identity that says
and make the replacement:
. Now move everything over to one side of the equals sign and set it equal to 0 so you can factor:
and then simplify to
Factor out the common cos(x) to get
and there you have your 2 trig equations:
cos(x) = 0 and 1 - cos(x) = 0
The first one is easy enough to solve. Look on the unit circle and see where, one time around, where the cos of an angle is equal to 0. That occurs at
The second equation simplifies to
cos(x) = 1
Again, look to the unit circle and find where the cos of an angle is equal to 1. That occurs at π only.
So, in the end, your 3 solutions are