Answer:
Step-by-step explanation:
27π= 120°/360°* πr^2
81=r^2
r=9
Area of circle=πr^2
Area of circle=254.34 or 81π
The rectangle they give you is 12 units tall. This is the result of scaling by a factor of 1.5, ie it is 1.5 times taller than what the answer will be. Let the answer rectangle have a height of h. This means h*1.5 = 12, or 1.5h = 12
Divide both sides by 1.5 to find that h = 8. The answer rectangle's height is 8 units.
The width's will be treated in a similar manner. I picked on the height since it's easier to see that the height lines up with 12 (the width seems to be between 2 and 4, but its not clear if its at the midpoint).
Answer:
y = x - 2
Step-by-step explanation:
To write the equation in the form y = mx + b, find the value of slope (m) and y-intercept (b) of the graph.
Slope (m) = change in y/change in x
Using two points on the line, say (0, -2) and (2, 0),
Slope (m) = (0 -(-2))/(2 - 0)
m = 2/2
m = 1
y-intercept (b) = -2 (this is the point where the y-axis is intercepted by the line, at this point, x = 0)
✔️To write the equation, substitute m = 1 and b = -2 into y = mx + b
y = 1(x) + (-2)
y = x - 2
Let's consider what we are asked. The domain is defined as a set of points that satisfy the equation on the x-ordinate.
So, essentially, we need to find if and what the restriction on x is.
Let's now consider just f(x) because g(x) is completely irrelevant to the question.
f(x) = 2 - x^(1/2)
Since f(x) can never be 0 for a defined function, let's consider when f(x) = 0 to find a restriction on x.
2 - x^(1/2) = 0
2 = x^(1/2)
+-4 = x
But we can only take the positive 4 because inside a square root has to always be positive (unless you're dealing with complex numbers), so the only restriction is that x cannot be equal to 4.
Therefore, our domain is: x >= 0; x =/= 4
Answer:
(3×6) -1+4
18+3
21 is your answer ☺️. If I'm right so,
Please mark me as brainliest. thanks!!!