If the integral is
substitute 
and 
. Then you end up with
which in terms of <em>x</em> is
Hi there! The answer is 102 mph.
A car travels at a steady speed and takes 5 hours to travel 510 miles.
To work out the average speed, we only need to find the speed per hour (miles per hour - mph). Since we now have our distance covered in 5 hours, we must divide by 5.
Distance covered per hour = 510 miles / 5 hours = 102 miles per hour.
Therefore the speed is 102 mph.
Answer:
<u>3.7</u>
Step-by-step explanation:
<u>Given</u>
- sin²θ + cos²θ = 1
- sinθ = 0.27
<u>Solving for cos</u>θ
- cos²θ = 1 - sin²θ
- cos²θ = 1 - (0.27)²
- cos²θ = 0.0729
<u>Finding tan</u>θ
- tanθ = sinθ / cosθ
- tanθ = 0.27 / 0.0729
- tanθ = <u>3.7</u>
<u>Verifying it lies in the range</u>
- θ = tan⁻¹ (3.7)
- θ = 74.88°
- Range is : 0 < θ < π/2 [or 0 < θ < 90°]
- It lies in the range [Verified]
Answer:
The answer is on the paper. Hope it's correct :)
