By using a graphing calculator, the solutions are:
(-3, 4) and (1, 0)
Answer:
As per the statement:
You can see the diagram as shown below.
Distance of fireman stands away from the building = 30 m
Length of the ladder = 50 m
Using Cosine ratio:
....[1]
From the diagram:
Adjacent side = 30 m
Hypotenuse side = 50 m
Substitute these values in [1] to solve for angle of elevation()
or
Simplify:
Therefore, the angle of elevation to the closest degree of the ladder is 51.13 degree
We will conclude that:
- The domain of the exponential function is equal to the range of the logarithmic function.
- The domain of the logarithmic function is equal to the range of the exponential function.
<h3>
Comparing the domains and ranges.</h3>
Let's study the two functions.
The exponential function is given by:
f(x) = A*e^x
You can input any value of x in that function, so the domain is the set of all real numbers. And the value of x can't change the sign of the function, so, for example, if A is positive, the range will be:
y > 0.
For the logarithmic function we have:
g(x) = A*ln(x).
As you may know, only positive values can be used as arguments for the logarithmic function, while we know that:
So the range of the logarithmic function is the set of all real numbers.
<h3>So what we can conclude?</h3>
- The domain of the exponential function is equal to the range of the logarithmic function.
- The domain of the logarithmic function is equal to the range of the exponential function.
If you want to learn more about domains and ranges, you can read:
brainly.com/question/10197594
Answer:
1/12
of a pound of nuts per bag.
Step-by-step explanation:
Here, we need to share 1/3 of a pound of nuts between four bags,so each bag contains:1/lbs/4=1/lbs*1/4=1/12 lbs
hope that helps
Answer:
-4, -3, -2, -1, 0
Step-by-step explanation:
They are greater than -5 and less than 1