9514 1404 393
Answer:
2.20×10^10 km³
Step-by-step explanation:
The formulas for area (A) and volume (V) of a sphere are ...
A = 4πr²
V = 4/3πr³ = (r/3)A
The radius can be found from the area as ...
r = √(A/(4π)) = (1/2)√(A/π)
Then the volume in terms of the area is ...
V = (1/3)(1/2)√(A/π) · A = A^(3/2)/(6√π)
Filling in the given value of area, we find the volume to be ...
V = (3.7959×10^7)^(3/2)/(6√π) ≈ 2.1991×10^10 . . . . km³
Rounded to 3 significant figures, the volume of the moon is about ...
V ≈ 2.20×10^10 km³
Answer:
Step-by-step explanation:
Given
Required
The equation for the line of reflection
Taking points A and A' as a point of reference:
and
First, calculate the midpoint (M)
Calculate the slope (m)
The midpoint of a reflection is always perpendicular to the points being reflected.
So, the slope of is:
The equation is then calculated as:
Where:
Hence, the equation of line of reflection is:
Answer and Step-by-step explanation:
The parent function, f(x) = |x|, has no transformations applied to it.
When the number is with the x, it translates the graph horizontally. <->
When the number is outside of the absolute box, it translates the graph vertically. ^ V
When the number is multiply the absolute box on the outside with the x inside, it scales the graph.
So, first lets apply the translations of horizontal and vertical shift.
The graph translated 1 units downwards.
The graph translates 2 units to the right.
g(x) = |x - 2| - 1
We subtract the 2 because that makes it go right, while if we added it would go left.
Now for the scale.
The lines have a slope of , so that is what we are multiplying.
<u> g(x) = </u><u>|x - 2| - 1</u>
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<u>^That is your transformed function.</u>
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<em><u>#teamtrees #PAW (Plant And Water)</u></em>
Answer:
144°
Step-by-step explanation:
m<1 =3x
m< 2= 12x
1&2 are supplementary angles, so
3x+12x= 180
15x=180
x= 12°
measure of angle 4 equals the measure of angle 2
because they're head opposite angles
m<4= 144°