It would be 1/5 because the line is going in a positive direction and all you have to do is pick to points and do rise/run
Answer:
2√6 m
Step-by-step explanation:
The formula for the vol. of a cone is V = (1/3)(area of base)(height).
Here, V = 20π m³ = (1/3)(area of the base)(10 m)
We need to solve for (area of the base).
Multiplying both sides of this equation by (3/10) results in:
(3/10)(20 π m³) = (area of the base)
This simplifies to 6π m² = (area of the base)
We still must find the diameter of the base. Let's find the radius of the base first: The formula for the area of a circle is A = πr². Here we have 6π m² = πr², which tells us that r² = 6 m². Since d = 2r, and r = d/2, r² = d²/4. Then the equation 6 m² = r² becomes:
6 m² = d²/4.
Solve this for d. Multiplying both sides by 4, we get:
24 m² = d²2, and d = √(24 m²) = 2√6 m
The cone diameter is 2√6 m.
Answer:
Step-by-step explanation:
We are given PS = 28 feet, which is the length of the diameter.
The formula for arc length is 
, where x is the degrees.
So, we need to find the radius. We know that the radius is half of the diameter, so:
We also need to find ∠TXS. Since we know the diameter is a line that crosses the center point of the circle, we also know that ∠PXT and ∠TXS add up to 180°. So:
∠PXT + ∠TXS = 180
125 + ∠TXS = 180
∠TXS = 180 - 125
∠TXS = 55°
Now, we can use the arc length formula:
Check my work to make sure! Hope this helps!
Given the graph and the table of functions, f(x) and g(x), the following <em>evaluated</em>:
a. f(0) = 9
b. g(2) = -3
c. f(-1) = 5
Given the functions, f(x) and g(x), the following can be <em>evaluated</em>:
<em><u>a. Find f(0):</u></em>
Using the table given, what we need to determine is the of the output, f(0) that an input value, x = 0, will give.
- From the table, we see that when x = 0, f(x) =9.
<em>Therefore,</em>
f(0) = 9
<em><u>b. Find g(2):</u></em>
From the graph, find the corresponding value of g(x) that corresponds with x = 2.
- From the graph, when x = 0, g(x) = -3
<em>Therefore,</em>
g(2) = -3
<em><u>c. Find f(-1):</u></em>
From the table, find the corresponding value of f(x) that corresponds with x = -1.
- From the table, when x = -1, f(x) = 5
<u />
<em>Therefore,</em>
f(-1) = 5
Learn more here:
brainly.com/question/19639627
