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3 years ago

6

A cone has a volume of 33 in.³ if a cylinder has the same height and the same radius as the cone what is the volume of the cylin

der

1 answer:

Blizzard [7]3 years ago

5 0

Answer:

99 in³

Step-by-step explanation:

volume of cone = ⅓πr²h = 33 in³

volume of cylinder = πr²h = 3(volume of cylinder) = 99 in³

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A tablecloth for a round table has a radius of 21 inches. What is the area of the tablecloth? Use 22/7 for pi

Mekhanik [1.2K]

Your formula here is A=pir^2
Plug in the numbers but instead use 22/7 for pi
A=(22/7)(21)^2
A=22/7*441=1386

Answer is 1386 sq inches

8 0

3 years ago

Rationalize the denominator:<br><br> Please give step by step solution

MrMuchimi

Answer:

1 + i

Step-by-step explanation:

To rationalize multiply numerator and denominator by (2 + i )

$\frac{3+i}{2-i}= \frac{3+i}{2-i} \times \frac{2+i}{2+i} = \frac{(3+i)(2+i)}{(2-i)(2+i)} = \frac{6+3i+2i-1}{4-(-1)} = \frac{5+5i}{5} = 1 + i$

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3 years ago

Use given triangle to fill in the blank.<br> PLEASE HELP ME!!!!!!!!!!!!!!!

lina2011 [118]

Answer:

b/c

Step-by-step explanation:

Sin B = opposite side/ hypotenuse = AC/AB

3 0

3 years ago

Tina was asked to determine the possible dimensions of a given rectangle whose area is 12a4b3-18a6b3-72a7b3. Tina stated that th

Rufina [12.5K]

Answer:

Tina is correct

Step-by-step explanation:

Given

$Area = 12a^4b^3 - 18a^6b^3 - 72a^7b^3$

Required

State if $3a^4b^3(4-6a^2-24a^3)$ is a possible dimension

To do this, we simply expand $3a^4b^3(4-6a^2-24a^3)$

$3a^4b^3(4-6a^2-24a^3)$

$3a^4b^3 * 4-3a^4b^3 * 6a^2-3a^4b^3 * 24a^3$

$12a^4b^3 - 18a^{4+2}b^3 * -72a^{4+3}b^3$

$12a^4b^3 - 18a^{6}b^3 * -72a^{7}b^3$

By comparison, the result of the expansion

$12a^4b^3 - 18a^{6}b^3 * -72a^{7}b^3$

and the given expression

$Area = 12a^4b^3 - 18a^6b^3 - 72a^7b^3$

are the same.

<em>Hence, Tina is correct</em>

7 0

2 years ago

Factorise (l+m)² - (l- m)²

Svetach [21]

Answer:

use the formula of (a+b)^2

check out the picture

Step-by-step explanation:

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2 years ago