Answer:
<em>3 hours</em>
Step-by-step explanation:
Given that:
Average speed of Willie = 40 km/h
After 2 hours, Gabriella traveled in opposite direction at an speed of 70 km/h.
After some time, they are 410 km apart.
To find:
Number of hours = ?
Solution:
For the first two hours, Willie traveled alone.
Formula for distance:
Distance traveled in two hours by Willie = 
Now, they both travel in opposite directions.
So the relative speed is = 40 + 70 = 110 km/h
The distance traveled by them = 410 - 80 = 330 km
Therefore, the time taken is <em>3 hours.</em>
Answer: x=-6
Step-by-step explanation:
5-2x=-4x-7
5+2x=-7
2x=-12
X=-6
Answer:
c = 3/5
Step-by-step explanation:
5c+16.5=13.5+10c
Subtract 5c from each side
5c-5c+16.5=13.5+10c-5c
16.5 = 13.5 +5c
Subtract 13.5 from each side
16.5 -13.5 =13.5-13.5 +5c
3 = 5c
Divide by 5
3/5 = 5c/5
3/5 =c
If clearer picture i may help for it is far to dark and clouded to read
(1-cos^2(x)) csc^2(x)=1
one of the trigonometry rules is sin^2(x) + cos^2(x) = 1 if you rearrange this you realize that sin^2= 1-cos^2(x)
we also know that csc^2(x)= 1/sin^2(x) so now you can rewrite your equation as:
sin^2(x) x 1/sin^2(x) = 1
sin^2(x)/sin^2(x) =1
the LHS (left hand side) can cancel down to 1 because the numerator and denominator are the same
so then 1=1 Therefore LHS=RHS
Hope this helps
