Hello again
Answer: 1 1\3
~hope i help~
the answer is x is greater then -7
to find this add 4 to each side
then divide by -2.
since you divided both sides by a negative the symbol flips and you get x is greater then -7
Answer:
20 is 80% of 25
Step-by-step explanation:
We assume, that the number 25 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 25, so we can write it down as 100%=25.
4. We know, that x% equals 20 of the output value, so we can write it down as x%=20.
5. Now we have two simple equations:
1) 100%=25
2) x%=20
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=25/20
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 20 is what percent of 25
100%/x%=25/20
(100/x)*x=(25/20)*x - we multiply both sides of the equation by x
100=1.25*x - we divide both sides of the equation by (1.25) to get x
100/1.25=x
80=x
x=80
Answer:
20mph
Step-by-step explanation:
because when you divide the 280 it goes by 20 mph to get to 280 miles by quarters but in 20s
cos (2x) = cos x
2 cos^2 x -1 = cos x using the double angle formula
2 cos ^2 x -cos x -1 =0
factor
(2 cos x+1) ( cos x -1) = 0
using the zero product property
2 cos x+1 =0 cos x -1 =0
2 cos x = -1 cos x =1
cos x = -1/2 cos x=1
taking the arccos of each side
arccos cos x = arccos (-1/2) arccos cos x = arccos 1
x = 120 degrees x=-120 degrees x=0
remember you get 2 values ( 2nd and 3rd quadrant)
these are the principal values
now we need to add 360
x = 120+ 360n x=-120+ 360n x = 0 + 360n where n is an integer
