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2 years ago

20 points / WILL GIVE BRAINLIEST

Mathematics

1 answer:

valkas [14]2 years ago

6 0

Answer:

Total Volume = 15π + 18 π= 33π cubic mm

Step-by-step explanation:

What is the volume of the composite figure? Leave the answer in terms of π.

_33π mm3

We have a cone here conjoined to a semi-sphere.

Cone volume: C = (1/3)*(πr^2) * h

semi-sphere volume : V = (1/2)* (4/3) * (π * r^3)

r = 3 mm and h = 5mm

so C = (1/3)*(π (3)^2) * 5 = 15π cubic mm

V = (1/2)* (4/3) * (π * 3^3) = 18 π cubic mm

Total Volume = 15π + 18 π= 33π cubic mm

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LCM: (x - 5)(x + 1)(x + 2)

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2 years ago

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Oksana_A [137]

According to the vertex and the directrix of the given parabola, the equation is:

$y = \frac{3}{4}(x - 1)^2 + 4$

<h3>What is the equation of a parabola given it’s vertex?</h3>

The equation of a quadratic function, of vertex (h,k), is given by:

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Hope this helps

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