Use this calculator to find the unit<span> rate. A rate is a </span>ratio<span> comparing 2 quantities of different kinds of </span>units<span>. A </span>unit<span> rate is a rate with 1 in the denominator. If a rate is given and the quantity in the denominator is not 1, </span>unit<span> rate is calculated by finding an equal </span>ratio<span> such that the denominator is 1.</span>
The formula can also be proved using a trigonometric substitution . Each of above proofs will generalize to show that the volume of an ellipsoid with semi-axes A, B and C is just
(4/3)*Pi*A*B*C
Because the cosine and sine must be negative when evaluated in theta, the angle lies on the third quadrant.
<h3>
In which quadrant is the endpoint of the segment that defines the angle?</h3>
We know that if:
- cos(θ) > 0, then we are on the first or fourth quadrant
- sin(θ) > 0, then we are on first or second quadrant.
Here we know that:
sec(θ) < 0
And we know that:
sec(θ) = 1/cos(θ)
Then we have cos(θ) < 0
We also have that:
sec(θ)*csc(θ) > 0
Because sec(θ) < 0, we must have that csc(θ) < 0.
Remember: csc(θ) = 1/sen(θ)
Then sen(θ) < 0.
Then we have the two conditions:
sen(θ) < 0
cos(θ) < 0
- The cosine is negative on the third and second quadrants.
- The sine is negative on the third and fourth quadrants.
The only quadrant where both are negative is the third quadrant, so that is the correct option.
If you want to learn more about trigonometric functions:
brainly.com/question/8120556
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Recall, for a right angle triangle, the hypotenuse squared is equal to the sum of the remaining two squared sides.
Hence, c² = (15√2)² + (15√2)²
c² = 450 + 450 = 900
c = 30
Thus, the hypotenuse will have a length of 30 feet.
