Answer:
A solution to a system of equations means the point must work in both equations in the system. So, we test the point in both equations. It must be a solution for both to be a solution to the system. Hope this helps.
We have that
tan x=5
we know that
tan x =sin x/ cos x
sin x/ cos x=5------> squaring-----> sin² x/cos² x=25
remember that
sin² x+cos² x=1-----> cos² x=1-sin² x
substitute
sin² x/[1-sin² x]=25
sin² x=25-25*sin² x
26*sin² x=25
sin² x=25/26
sin x=5/√26
cos² x=1-(5/√26)²----> 1-(25/26)----> 1/26
cos x=1/√26
the answers are
sin x=5/√26
cos x=1/√26
Answer:
<u>Janet's interest is $3.90 every month.</u>
Step-by-step explanation:
First, you need to set up a proportion to find Janet's interest:
0.65%/100 = x/600
Step 1: Cross-multiply.
0.65/100/100 = x/600
(0.65/100)*(600)=x*(100)
39/10=100x
Step 2: Flip the equation.
100x=39/10
Step 3: Divide both sides by 100.
100x/100=39/10/100
x=39/1000 (0.039)
Then move the decimal twice to the left to find the dollar amount:
0.039 ⇒ 3.90
Janet's interest is $3.90 every month.
HOPE THIS HELPS!!! <33333
-Silver
So I worked this out by adding all the houses together. I whole hour is two half hours. So it made it 2/3 of an hour. so I added everything together = 1/3+ 1/3+ 1/3 +1/3+ 1.5/3 = 3 1/2 Hours to walk.
Answer:
9/10
Step-by-step explanation:
you find the lowest common denominator in this case is 10
then you take 1/2 and multiply it by 5 both the bottom and top and then you should get 5/10
next you do the same with 2/5 but this time to the get the denominator to 10 you multiply by 2 again multiply both bottom and top and you should get 4/10
now you just add 4/10 and 5/10 together and you get 9/10 or 0.9 as a decimal
