Answer:
The measure of angle XYZ will be 120° because the included arc of an inscribed angle will always be twice the measure of the inscribed angle
An exponential model can be described by the function
where: a is the initial population or the starting number, b is the base and x is the number of periods elapsed.
When the base of an exponential model is greater than 1 it is called a growth factor, but when it is less than 1 it is called a decay factor.
Given the exponential model
n is the final output of the exponential model, 20.5 is the starting number, 0.6394 is the base and t is the number of periods/time elapsed.
Here, the base is 0.6394 which is less than 1, hence a decay factor.
Therefore, <span>the
base, b, of the exponential model is 0.6394; It is a
decay factor.</span>
Answer:
Height = 7 meters
Step-by-step explanation:
Equation:
To work out the height, you need to know the formula for the volume of a cone which is:
Explaining variables:
- mathematical constant.
- radius of the cone
- height of the cone
- volume of the cone
Working out the height:
We are looking for the height, so let's re-arrange the equation.
We are given the height, volume and diameter.
To work out the radius we have to know that . So the radius is m.
Now let's put everything in the equation for the height to work it out.
meters.
Therefore, the height of the cone is 7 meters.
ANSWER: u=4
2( 4u -9) = 14
8u -18 = 14
Add18 from both sides.
8u -18+18= 14+18
8u= 32
Divide both sides by 8.
8u/8= 32/8
u=4
Answer:
34
Step-by-step explanation:
If we know that these angles all add up to 360, then we can simply add up all the expressions, set them equal to 360, and solve for x:
(3x - 6) + 2x + 108 + 88 = 360
Combine like terms:
5x + 190 = 360
Subtract 190:
5x = 360 - 190 = 170
Divide by 5:
x = 170/5 = 34