A rectangle has a width of 9 units and a length of 40 units. What is the length of a diagonal?
1 answer:
You might be interested in
Step-by-step explanation:
The wind has a speed of w and a direction α with the vertical. The x component of that speed is w sin α. The y component is -w cos α.
In order to stay on the north trajectory AB, the plane must have a horizontal speed of -w sin α. The plane's speed is v, so using Pythagorean theorem, the y component of the plane's speed is:
v² = (-w sin α)² + vᵧ²
v² = w² sin²α + vᵧ²
vᵧ = √(v² − w² sin²α)
The total vertical speed is therefore √(v² − w² sin²α) − w cos α.
If a is the length of AB, then the time is:
t = a / [√(v² − w² sin²α) − w cos α]
To rationalize the denominator, we multiply by the conjugate.
t = a / [√(v² − w² sin²α) − w cos α] × [√(v² − w² sin²α) + w cos α] / [√(v² − w² sin²α) + w cos α]
t = a [√(v² − w² sin²α) + w cos α] / (v² − w² sin²α − w² cos²α)
t = a [√(v² − w² sin²α) + w cos α] / (v² − w²)
Answer:
The value of which makes the equation true.
Step-by-step explanation:
Given the equation
We have to find the value of r for which the equation must be true.
solving the equation
Multiply both sides by -11
Therefore, the value of which makes the equation true.
<u>VERIFICATION:</u>
Putting in the equation
∵
L.H.S = R.H.S
Therefore, the value of which makes the equation true.