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mrs_skeptik [129]
3 years ago
7

The volume of clay used to build a cylindrical pillar with a height of 9 centimeters is 324π cubic centimeters. The area of the

base of the pillar is _____π square centimeters.
Mathematics
2 answers:
alekssr [168]3 years ago
8 0

Answer:

36pi

Step-by-step explanation:

I just took a test with this question and this was the right answer

~Please mark me as brainliest :)

OLga [1]3 years ago
5 0

Answer:

36\pi cm^2

Step-by-step explanation:

We are given that

Volume of cylinder =324\pi cm^3

Height of cylinder=9 cm

We have to find the area of  base of the pillar.

We know that

Volume of cylindrical pillar=Base\times Height

Where Base=\pi r^2

Substitute the values then we get

324\pi =Base\times 9

Base=\frac{324\pi}{9}=36\pi cm^2

Hence, the area of base of the pillar=36\pi cm^2

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nirvana33 [79]
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A=length×width
A=w²+17w+66
to get the new width we need to factorize the above quadratic form
A=w²+17w+66
=w²+11w+6w+66
=w(w+11)+6(w+11)
=(w+11)(w+6)
From the answer, the width=6 units, length=11 units
5 0
3 years ago
F(x) = -7x2 + 9x - 15 and g(x) = -12x2 – 15x + 7
djyliett [7]

Answer:

{5x}^{2}  + 6x =  - 8

Step-by-step explanation:

This question is asking you to insert two equations, f(x) and g(x), into the equation g(x) - f(x). This will lead to the equation below.

{ - 12x}^{2}  - 15x + 7 - ({ - 7)x}^{2}  + 9x - 15

Now we can solve for the equation.

{ - 5x}^{2}  - 6x - 8 = 0 \\   {5x}^{2}  + 6x =  - 8

3 0
3 years ago
Which of the following best completes the proof showing that ΔWXZ ~ ΔXYZ?
skelet666 [1.2K]

Angles formed by the segment \overline{XZ} in the triangles ΔWXZ, and ΔXYZ, are equal and the given corresponding sides are proportional.

  • The option that best completes the proof showing that ΔWXZ ~ ΔXYZ is; <u>16 over 12 equals 12 over 9</u>

Reasons:

The proof showing that ΔWXZ ~ ΔXYZ is presented as follows;

Segment \overline{XZ} is perpendicular to segment \overline{WY}

∠WZX and ∠XZY are right angles by definition of \overline{XZ}  perpendicular to \overline{WY}

∠WZX in ΔWXZ = ∠XZY in ΔXYZ = 90° (definition)

\displaystyle \frac{WZ}{XZ} = \frac{16}{12} = \mathbf{ \frac{4}{3}}

\displaystyle \mathbf{ \frac{XZ}{ZY}}  = \frac{12}{9}  = \frac{4}{3}

Therefore;

  • \displaystyle \frac{16}{12} = \frac{12}{9}, which gives, \displaystyle \mathbf{\frac{WZ}{XZ} }= \frac{XZ}{ZY}

Given that two sides of ΔWXZ are proportional to two sides of ΔXYZ, and

that the included angles between the two sides, ∠WZX and ∠XZY are

congruent, the two triangles, ΔWXZ and ΔXYZ are similar by Side-Angle-

Side, SAS, similarity postulate.

The option that best completes the proof is therefore;

  • \displaystyle \frac{16}{12} = \frac{12}{9} which is; <u>16 over 12 equals 12 over 9</u>

Learn more about the SAS similarity postulate here:

brainly.com/question/11923416

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The cost of 5 dresses and 2 belts is $48. The cost of 3 dresses and 2 belts is $32. Find the cost of a dress and a belt. Let x d
sergejj [24]
I think the answer is as
5 0
3 years ago
Suppose the circumference of a circle is 16π What is its diameter?
DerKrebs [107]
D≈5.09

Hopefully this helps :)
5 0
4 years ago
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