Answer:
y-3=3/5x
Step-by-step explanation:
y-y1=m(x-x1)
Where m=slope and (x1, y1) is a point on the line.
m=(y2-y1)/(x2-x1)
m=(0-3)/(-5-0)
m=-3/-5
m=3/5
y-3=3/5(x-0)
y-3=3/5(x)
y-3=3/5x
Answer:x^2=2^2+4^2. x=4.47
Step-by-step explanation:
Opposite=m=2
Adjacent=n=4
Hypotenuse=x
x^2=m^2+n^2
x^2=2^2+4^2
x^2=4+16
x^2=20
x=√20
x=4.47
Let missing side be x
Using basic proportionality theorem
The work is easy. Most of the effort is in the reasoning.
Here's how I reasoned:
-- If the diameter of the sphere is bigger than the diameter of
the cylinder, then you'd have to mash the sphere somehow
in order to get it in there, and it wouldn't be a sphere anymore.
-- If the diameter of the sphere is bigger than the height of the
cylinder, then it would stick out of the ends, and it would not
"fit inside it".
-- So the diameter of the sphere can't be bigger than either
the diameter or the height of the cylinder.
-- The cylinder's diameter is 15" and its height is 12".
So the largest sphere that can completely fit inside it
is a sphere whose diameter is 12".
The volume of a sphere is (4/3) (pi) (radius³)
and the radius is (1/2 of the diameter) = 6 inches.
So the volume is (4/3) (pi) (6 inches)³ .
You can take it from here.
Use 3.14 for (pi) .
I got about 904 inches³.
But the answer is not important.
Answer:
92 in expanded form is 90+2 or (9x10) + (2x1)
Step-by-step explanation:
Split apart the number into the place values.
