Answer:
40
Step-by-step explanation:
Any solution x will mod 23 will also have x+23n as a solution, for some integer n. Since 900/23 = 39 3/23, we know there are 39 or 40 three-digit integers of this form.
As it happens, 100 is the smallest 3-digit solution. So, there are 40 three-digit numbers that are of the form 100 +23n, hence 40 solutions to the equation.
_____
The equation reduces, mod 23, to ...
10x = 11
Its solutions are x = 23n +8.
Remember that cos is just a translation of sin and vice versa.
So:
Sin(x) = Cos(90 - x)
Cos(x) = Sin(90 - x)
Therefore, to answer your question:
Cos(19) = Sin(90 - 19)
= Sin(71)
Answer:
The enrollment after 5 years is 10,724
Step-by-step explanation:
Generally, we can have the depreciation formula written as follows;
A = P(1 - r)^t
A is the number of enrollment in after a certain number of years t
P is the initial population which is 13,500
r is the rate of depreciation which is 4.5% = 4.5/100 = 0.045
t = 5 years
Substituting these values, we have it that;
A = 13,500(1-0.045)^5
A = 10,723.84
Answer:
It's the second one I believe, because it's not a straight line, and nearly all functions have curved lines
Step-by-step explanation:
Solution:
Given:
To get sin 240 degrees:
240 degrees falls in the third quadrant.
In the third quadrant, only tangent is positive. Hence, sin 240 will be negative.
Using the trigonometric identity;
Hence,
To get cos 240 degrees:
240 degrees falls in the third quadrant.
In the third quadrant, only tangent is positive. Hence, cos 240 will be negative.
Using the trigonometric identity;
Hence,
To get tan 240 degrees:
240 degrees falls in the third quadrant.
In the third quadrant, only tangent is positive. Hence, tan 240 will be positive.
Using the trigonometric identity;
Hence,
To get cosec 240 degrees:
To get sec 240 degrees:
To get cot 240 degrees:
