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3 years ago

Someone help me with this please!

Mathematics

1 answer:

andre [41]3 years ago

3 0

Answer:

B) x < 9 or x > 23

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I'm so sorry if I'm not correct, but that's the only answer that makes any sense to the sentence.

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Rudik [331]

Answer:

The ratio of their volumes is: $\frac{729}{64}$

Step-by-step explanation:

If the cones are similar, then the ratio of their heights should equal the ratio of their radiuses. If we call R the radius of the larger cone (the one of height 9 cm) and r the radius of the smaller cone (the one of height 4 cm), then the following proportion should be verified:

$\frac{R}{r} =\frac{9}{4} \\R=\frac{9\,r}{4}$

where we have solved for "R" in terms of "r".

Now we input this information in the formula for the volume (V) of the largest cone, and for the volume (v) of the smaller cone, recalling that the volume of a cone is the product of the area of the cone's circular base ( $\pi *\,radius^2$ ).

$v=\frac{\pi\,r^2\,4\,}{3} =\pi r^2\,\frac{4}{3} \\V=\frac{\pi\,R^2\,9}{3}=\frac{\pi\,(\frac{9\,r}{4} )^2\,9}{3}=\frac{\pi\,r^2\,729}{16*3}=\pi r^2\,\frac{243}{16}$

So now the ratio of their volumes (V/v) can be obtained:

$\frac{V}{v} =\frac{\frac{243}{16}}{\frac{4}{3}} =\frac{729}{64}$

6 0

3 years ago

Use 3.14 for π<br><br> Please consider helping!<br> Any help is appreciated!

Vikentia [17]

The circumference of the circle is 53.41.

8 0

3 years ago

Help on 19-20 Do not explain

stiv31 [10]

Answer: 19. 4.5 20. -120

Step-by-step explanation:

3 0

3 years ago

Find LCM of 9-p^2 and p^2+3p

snow_lady [41]

Answer:

(3+p)

Step-by-step explanation:

solution

first expression=9-P^2

=3^2 - P^2

=(3+P) (3-p)

second expression=p^2 + 3p

= p(3+p)

Therefore lCM= (3+p)

3 0

3 years ago

Express as a trinomial<br> (x-9)(x+4)

svetoff [14.1K]

Answer:

x² - 5x - 36

Step-by-step explanation:

Use FOIL (First, Outside, Inside, Last) to solve. x times x is x², so that is the first term of our trinomial. The outside terms are x times 4, or 4x. The inside terms are -9 and x, so -9x. The last terms are -9 times 4, or -36. We can add the like terms of 4x and -9x to get -5x. So, your trinomial is x² - 5x - 36.

4 0

3 years ago

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