If sin(t) < 0 and sec(t) < 0, then x < 0 and y < 0
Thus, this angle lies in the 3rd quadrant
(10, -3)
cot [t] = x / y
cot [t] = 10/-3 = -3.33
However.......if you want to know the value of t, we have
cot-1 ( 10/-3) ≈ -16.69°...but this angle lies in the 4th quadrant so we have
360 - 16.69 ≈ 343.31°
Here's the first one ....
2000 + (.015)*197,000 = $4955
The tangent forms a right triangle.....AO is the hypotenuse and AB is a leg....so.....by the Pythagorean Theorem......
r = sqrt ( AO^2 - AB^2) = sqrt ( 11.7^2 - 6^2 ) = sqrt ( 136.89 - 36) =
sqrt ( 100.89) ≈ 10.04 = 10 .0 (rounded)
What's the question ???
The domain is just the x values of the listed points.....so "A" is correct
I think this might be :
2e ^(3t) = 400 divide both sides by 2
e^(3t) = 200 take the Ln of both sides
Ln e^(3t) = Ln 200 and we can write
(3t) Ln e = Ln 200 Ln e = 1 so we can ignore this
3t = Ln 200 divide both sides by 3
t = Ln 200 / 3 ≈ 1.766
Stick's height / Its shadow height = Tower's height / Its shadow height
8 / 5 = Tower's height / 40 multiply both sides by 40
40 * 8 / 5 = Tower's height
64 ft =Tower's height
We want to choose any 5 of 15 men and any 7 of 11 women....so...
C(15,5) * C(11,7) = 990,990 different juries
-4z^2 + 20z - 6
The z that will maxmize this occurs at
-20 / [2 * -4] = -20/-8 = 5/2 = 2.5
Subbing this back into the function, the max value is
-4(2.5)^2 + 20(2.5) - 6 =
19
