<h3>E
xplanation:</h3>
Replace cos^2(θ) with 1-sin^2(θ), and cot(θ) with cos(θ)/sin(θ).
cos^2(θ)cot^2(θ) = cot^2(θ) - cos^2(θ)
(1 -sin^2(θ))cot^2(θ) = . . . . . replace cos^2 with 1-sin^2
cot^2(θ) -sin^2(θ)·cos^2(θ)/sin^2(θ) = . . . . . replace cot with cos/sin
cot^2(θ) -cos^2(θ) = cot^2(θ) -cos^2(θ) . . . as desired
Answer:Answer:
Option (c) is correct.
function representing the increase of bacteria every hour x,
Step-by-step explanation:
Given : A colony contains 1500 bacteria. The population increases at a rate of 115% each hour.
we have to find the function that represents the given scenario.
Let x represents the number of hours elapsed.
Given A colony contains 1500 bacteria
and number of bacteria is increasing at a rate of 115% each hour.
Using formula for Compound interest , we have,
Where A is amount
T is time period
R is rate of interest
Here, P = 1500
T = x hours
R = 115%
Let f(x) be the function representing the increase of bacteria every hour.
Substitute, we have,
Simplify, we get,
Thus, function representing the increase of bacteria every hour x,
Answer:
Step-by-step explanation:
<u>Given:</u>
- Horizontal leg of the right triangle = 778 ft
- Angle opposite to vertical length = 39°
- Vertical leg = h
<u>Use tangent to solve for h:</u>
- h/778 = tan 39°
- h / 778 = 0.81
- h = 0.81*778
- h = 630.18
Correct choice is B
Answer:
Binary code
Step-by-step explanation:
Code is a word or a symbol which is not disclosed to everyone and is considered as secretive. There are various codes which are required to run a software in order to minimize the risk of piracy. These codes are binary codes or java codes. These are complex so that not everyone can crack it.
24/2 equals 12
12 + 8 = 20
