Answer:
Correct answer is the domain.
Step-by-step explanation:
A domain is the input set of a function.
A range is the output set of the function.
It is more important to know the domain of the function to be able to determine the corresponding output set so the function can be graphed. To start with the domain is very useful because every domain element has a corresponding unique output element.
Suppose you started with the range element of 9. The input set for an output of 9 is {-3,3}. This makes it hard to match up the elements. This example highlights why it is important to start with the domain rather than the range.
Answer:
Step-by-step explanation:
You can create a right triangle out of this information and then use right triangle trig to solve.
We are given the height of the triangle as the height of the tower which is 150m.
We are given the angle of inclination as the degree the tower makes with the ground which is 72.
From the angle of 72 degrees, which is also known as the reference angle, we have the side across from it (the height) and we are looking for the side adjacent to it (how far from the base of the tower the keys will land). Side opposite the reference angle over side adjacent to the reference angle is the tangent ratio:
and, solving for x,
Make sure your calculator is in degree mode to solve this. Divide 150 by the tan(72) and find that
x = 48.7 m
Answer:
60 boys
Step-by-step explanation:
boys : girls = 3 : 5
Total number of people = 160
Let y = common factor:
Therefore, 3y + 5y = 160
⇒ 8y = 160
⇒ y = 160 ÷ 8 = 20
Boys = 3y = 3 x 20 = 60
Girls = 5y = 5 x 20 = 100
So there are 60 boys and 100 girls
Answer: 15.7 (1 decimal place)
Step-by-step explanation:
The formula for the circumference of a circle is d(diameter) x π(pi).
The diameter of this is 5 so you would do 5xπ=15.7 (1 decimal place)
T = -20 so
t+1= -20 + 1
= -19
