Solve the simultaneous equations x2 + y2 = 10 and x – 3y + 10 = 0.
1 answer:
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Answer:
19.6 cubic centimeters
Step-by-step explanation:
The ratio of two similar 3D figures' volumes is equivalent to the ratio of their corresponding lengths (whether it's width, height, length, radius, etc) cubed.
Here, we know the cones are similar, and we know the smaller radius is 2 and the larger radius is 3. Then the ratio of the volume of the smaller one to the volume of the larger one is .
We also know the actual volume of the larger cone is 66. So, if x is the volume of the smaller cone, we have the proportion:
x / 66 = 8 / 27
Cross-multiply:
27x = 66 * 8 = 528
Divide by 27:
x = 528/27 ≈ 19.6
The answer is thus 19.6 cubic centimeters.
<em>~ an aesthetics lover</em>
Answer:
Step-by-step explanation:
we know that
A dilation is a non rigid transformation that produce similar figures
If two lines are similar, then the lines are parallel
Lines parallel have the same slope
so
we have
Line A
isolate the variable y
----> equation A
The slope of the line A is m=0.5
The y-intercept of the line A is b=4
Line B
isolate the variable y
----> equation B
The slope of the line B is m=0.5
The y-intercept of the line B is b=2
Remember that
The y-intercept of line A multiplied by the scale factor k must be equal to the y-intercept of line B
so
solve for k