Answer:

Step-by-step explanation:
so first we need to find the height so by splitting the isosceles triangle into two right-angled triangles and then applying Pythagoras' Theorem to one of them.





We now know the height of the triangle and can use this to go back and find the area of the isosceles triangle.
area of triangle =
x base x height
area of triangle =
x 10 x 12
area of triangle = 60
Step-by-step explanation:
Putting both functions into a graphing calculator, we can easily find the domain and range. (attatched)
By looking at the graph, we can tell that f(x) is a quadratic function because of the symmetry. We can also tell that it never goes below 4. Knowing this, we can determine the domain and range.
Domain: {x | all real numbers}
Range: {y | y > 4}
By looking at the graph, we can tell that g(x) is an exponential function because it has a curve, and never goes below the x. Knowing this, we can determine the domain and range.
Domain: {x | all real numbers}
Range: {y | y > 0}
Answer: x+8
Step-by-step explanation:
By knowing the circumference of the base of the cone, we see that the radius is 4 centimeters.
<h3>
How to find the radius of the cone?</h3>
Notice that in the first figure, the length of the arc AB is L = 8π cm.
Then, that arc will be the bottom part of the cone. Then we can see that the circumference of the base of the cone will be equal to the length of the arc.
And remember that for a circle of radius R (like the base of the cone), the circumference is:
C = 2πR.
Then we will get:
8π cm = C = 2πR
( 8π cm)/ 2π = R
4cm = R
The radius of the cone is 4cm.
If you want to learn more about circles:
brainly.com/question/1559324
#SPJ1
Answer:
x=-2
Step-by-step explanation: :)