Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identity
sin²x + cos²x = 1 , then
sin²x = 1 - cos²x and cos²x = 1 - sin²x
Consider the left side
← expand numerator/denominator using FOIL
= 
= 
= 
= 
= cot²A = right side , thus proven
Answer:60 is the common denominator
Step-by-step explanation:
Area of a circle = pi r^2 = pi * 12^2 = 452.4 in^2 to nearest tenth.
Answer:
37.52 million
Step-by-step explanation:
using,
A = A'(1+R/100)ⁿ............................. equation 1
Where A = population size in 2015, A' = Initial population, R = rate in percentage, n = number of times between 2010 and 2015.
Given: A' =35.7 million, R = 1%, n = 5.
Substitute these values into equation 1
A = 35.7(1+0.01)⁵
A = 37.52 million.
Hence the size of the population of the country in the year 2015 is 37.52 million
<h2>
Answer:</h2>
The table which shows that a function's range has exactly three elements is:
x y
3 8
4 6
5 12
6 8
<h2>
Step-by-step explanation:</h2>
<u>Domain of a function--</u>
The domain of a function is the set of all the x-values i.e. the value of the independent variable for which a function is defined.
<u>Range of a function--</u>
It is the set of all the y-value or the values which are obtained by the independent variable i.e. the values obtained by the function in it's defined domain.
a)
x y
1 4
2 4
3 4
Domain: {1,2,3}
Range: {4}
Hence, the range has a single element.
b)
x y
3 8
4 6
5 12
6 8
Domain: {3,4,5,6}
Range: {6,8,12}
Hence, the range has three element.
c)
x y
0 5
2 9
0 15
This relation is not a function.
because 0 has two images.
0 is mapped to 5 and 0 is mapped to 15.
d)
x y
1 4
3 2
5 1
3 4
This relation is not a function.
because 3 has two images.
3 is mapped to 2 in the ordered pair (3,2) and 3 is mapped to 4 in the ordered pair (3,4)
