In triangle ABC, m2 C = 90°, c = 17, and a = 8, then which of the following is the measure of side b?
1 answer:
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The mass of the wire is found to be 40π√2 units.
<h3>How to find the mass?</h3>To calculate the mass of the wire which runs along the curve r ( t ) with the density function δ=5.
The general formula is,
Mass =
To find, we must differentiate this same given curve r ( t ) with respect to t to estimate |r'(t)|.
The given integration limits in this case are a = 0, b = 2π.
Now, as per the question;
The equation of the curve is given as;
r(t) = (4cost)i + (4sint)j + 4tk
Now, differentiate this same given curve r ( t ) with respect to t.
Further simplifying;
Now, use integration to find the mass of the wire;
Therefore, the mass of the wire is estimated as 40π√2 units.
To know more about density function, here
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The complete question is-
Find the mass of the wire that lies along the curve r and has density δ.
r(t) = (4cost)i + (4sint)j + 4tk, 0≤t≤2π; δ=5
Answer:
Both flights approach each other at a speed of 624.70 Knots. The FAA minimum separation is not violated as both airplanes are 7.26 Nautical miles away from each other at the time when one of the flights( flight AA) passes through Frada Heights.
Step-by-step explanation:
To solve this kind of problem, the knowledge of concept of relative velocity is needed as the first question requested how fast the flights were approaching each other. To find the minimum distance between both flights, the closest point of approach between both flights should be taken into consideration which was Frada heights. Flight AA passes through Frada Heights in a shorter time of 0.079 hours. This is the time at which both flights approach each other the closest and so the minimum distance (separation) between them. This was calculated to be 7.26NM which is greater than the FAA's minimum this requirement for flight was not violated.
Detailed calculation steps can be found in the attachment below.
Answer:
or
Step-by-step explanation:
Substitution means plugging in one variable's value that consists of the opposite variable. Because is already specified, you can plug it into the second equation's
value. After doing that, it looks like this:
Then you would distribute the across the parentheses next to it, like this:
Then, add like terms, like this:
Then divide both side by to isolate
.
Now, you can plug (
) into either equation, but the first one seems simpler so you would pick that. It would look like this:
Solving would look like this:
So the answer is or
.