Ah clever. So you need two formulas.
1) Volume of the marble.
4(pi)r^3/3
= 4(pi)(1.4)^3/3
<span>= 11.49 (approx)
</span>
2) Formula for density.
D = M / V
= 9 / 11.49
= 0.78
0.78 < 1
Therefore the marble will float.
When dilation is about the origin, as it is here in every case, the image point coordinates are the original (pre-image) coordinates multiplied by the scale factor.
1. Multiply every coordinate value by 5:
... W' = (-5, 10), X' = (-15, -5), Y' = (25, -5), Z' = (15, 10)
2. Multiply every coordinate value by 1/3:
... A' = (-2, 5), B' = (0, 5/3), C' = (1, 10/3)
3. A' = (2, 8), B' = (6, 2), C' = (2, 2)
4. The image coordinates are 5 times the original coordinates, so ...
... the scale factor of the dilation is 5.
S = 10*m^(2/3)
S = 10*(450000)^(2/3)
S = 58,723.014617533
S = 58,723
<h3>Answer: Approximately 58,723 square cm.</h3>
Answer:
-4
Step-by-step explanation: if the signs are different subtract the values and take the sign of the larger number!
- - - - - -
+ +
Answer:
25
Step-by-step explanation:
To find X, using the information you have provided, you have to add 10 and 15 to get x
10+15 = 25
x=25
