Answer:
74.7 km/h
Step-by-step explanation:
The computation of the average speed is shown below:
As we know that
Speed = Distance ÷ Time
where
Distance = 66 km
And, the time is from 14.54 to 15.47 is 53 minutes
So, the speed is
= 66 km ÷ 53 minutes
= 74.71698 kilometers per hour
= 74.7 km/h
You mean to simplify as this is an expression not an equation, as it has no equal sign...
Factor our 4 first
(4r^3t^2)/(-rt)
Now factor out -rt
-4r^2t
28,302,603 in standard word form is: twenty-eight million three hundred two thousand six hundred three.
I assume you're just solving for x. Factorize the left side as
3 sin²(x) - 3 sin⁴(x) = 3 sin²(x) (1 - sin²(x)) = 0
Recall that
sin²(x) + cos²(x) = 1
so that the equation further reduces to
3 sin²(x) cos²(x) = 0
Also recall the double angle identity,
sin(2x) = 2 sin(x) cos(x)
which lets us rewrite the equation as
3/2² (2 sin(x) cos(x))² = 3/4 sin²(2x) = 0
Solve for x :
3/4 sin²(2x) = 0
sin²(2x) = 0
sin(2x) = 0
2x = arcsin(0) + 2nπ or 2x = π - arcsin(0) + 2nπ
(where n is any integer)
2x = 2nπ or 2x = (2n + 1) π
x = nπ or x = (2n + 1)/2 π
Notice that this means the solution set is
{…, -2π, -3π/2, -π, -π/2, 0, π/2, π, 3π/2, 3π, …}
so we can condense the solution further to
x = nπ/2
with any integer n.
