Answer: -1
Step-by-step explanation:
You want to find an angle that is coterminal to 495. So, subtract 360 degrees until youre in the range of 0-360. I got 495 - 360 = 135°
Tangent is equal to 
, we already solved theta which was 135°
This next part is hard to explain to someone who doesnt know their trig circle, idk if you do. The angle 135 is apart of the pi/4 gang. So we know this is going to be some variant of √2/2. Sine of quadrant 1 and 2 is gonna be positive:
Now lets do cosine of 135°, which again is apart of the pi/4 gang because its divisible by 45°. Its in quadrant 2 so the cosine will be negative.
The final step is to divide them. They are both fractions so you should multiply by the reciprocal.
In the familiar decimal number system that we use every day, moving the place
of a digit changes its value by a power of 10 .
In a system of numbers to any other base, moving the place of a digit changes
its value by a power of whatever the base of that number system is.
Answer:
After one year the population will be 33 deers, and after two years it will be 36 deers.
Step-by-step explanation:
Given that a population of 30 deer is introduced into a wildlife sanctuary, and it is estimated that the sanctuary can sustain up to 200 deer, and absent constraints, the population would grow by 10% per year, to predict the population after one year and after two years, the following calculations must be performed:
A)
30 x 1.1 = X
33 = X
B)
30 x 1.1 ^ 2 = X
30 x 1.21 = X
36.3 = X
Therefore, after one year the population will be 33 deers, and after two years it will be 36 deers.
Answer is 17.647 or if rounded 18
Answer:
$45
Step-by-step explanation:
We are given the following information;
- Money invested (Principal) is $300
- Rate of interest is 5% per annum
- Time the money is invested is 3 years
We need to determine the amount of interest the money will earn after three years.
- Simple interest is calculated by the formula;
- Simple interest =(PRT) ÷ 100, Where P is the principal amount, R is the rate of interest and T is the time.
Therefore, in this case;
Simple interest = ($300 × 5 × 3) ÷ 100
= $45
Thus, the money invested earned a simple interest of $45
