RemarkI take it that you want to know the ratio of the radii. If this is not correct, leave a comment below my answer.
You could do this by giving the spheres a definite volume, like 1 and 8 and then solve for r for one of them and then use the other sphere to find it's radius. It is not exactly the best way, and if you are going to to a physics class you want to be doing this using cancellation.
Step One Set up the Ratio for the volumes.
Step TwoSetup the equation for V1/V2 using the definition for a sphere. V = 4/3 pi r^3
Step ThreeCancel the 4/3 and pi on the top and bottom of the fractions on the right.
You are left with 1/8 = (r1)^3/ (r2)^3
Step FourTake the cube root of both sides.
cube root 1/8 = 1/2
Cube root of (r1)^3 = r1
Cube root of (r2)^3 = r2
Step FiveAnswer
Answer <<<<<<<
Step-by-step explanation:
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Find the slope:
y2 - y1/x2 - x1
plug in our values: -2-4/3-5
subtract: -6/-2
divide: 3/1
m = 3/1
now we need to put it in point slope form:
y - y1 = m(x - x1)
plug in our values: y - 4 = 3(x-5)
distribute the 3 to the values inside the parentheses by multiplication:
y - 4 = 3x - 15
get y by itself by getting rid of the 4 through addition:
y - 4 + 4 = y
3x - 15 + 4 = 3x - 11
equation for this line: y = 3x - 11
Answer:
∠3= 180° - m∠1
Step-by-step explanation:
a quadrilateral equals 360° when divide 360° into 4 angles the opposite angles add up to 180° half 360°