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Kazeer [188]
4 years ago
9

What is the radius of a cylinder if the volume is 192 pi and has a height of 12cm

Mathematics
1 answer:
kkurt [141]4 years ago
5 0
Volume =πr²h

192π = πr²(12)        // Plug the value of the volume and the height in

r² = 192π ÷ 12π       // divide by 12π on both sides

r² = 16                     // Simplify

r = √16                    // square root both sides

r = 4        

------------------------------------------------------------
Answer: The radius is 4 cm.
------------------------------------------------------------
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Jaden learns to perform 2 vocal pieces during each week of lessons . How many weeks of lessons will Jaden need before he will be
storchak [24]

Answer:

12 weeks

Step-by-step explanation:

To solve this, all you need to do is divided 24 pieces by the two he learns per week. You'll then find it will take him 12 weeks

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3 years ago
11, 12, and 13 please help
castortr0y [4]

Answer:11 is q2 12 is 3/4

Step-by-step explanation:

5 0
3 years ago
A door of a lecture hall is in a parabolic shape. The door is 56 inches across at the bottom of the door and parallel to the flo
Arada [10]

Answer:

The parabolic shape of the door is represented by y - 32 = -\frac{2}{49}\cdot x^{2}. (See attachment included below). Head must 15.652 inches away from the edge of the door.

Step-by-step explanation:

A parabola is represented by the following mathematical expression:

y - k = C \cdot (x-h)^{2}

Where:

h - Horizontal component of the vertix, measured in inches.

k - Vertical component of the vertix, measured in inches.

C - Parabola constant, dimensionless. (Where vertix is an absolute maximum when C < 0 or an absolute minimum when C > 0)

For the design of the door, the parabola must have an absolute maximum and x-intercepts must exist. The following information is required after considering symmetry:

V (x,y) = (0, 32) (Vertix)

A (x, y) = (-28, 0) (x-Intercept)

B (x,y) = (28. 0) (x-Intercept)

The following equation are constructed from the definition of a parabola:

0-32 = C \cdot (28 - 0)^{2}

-32 = 784\cdot C

C = -\frac{2}{49}

The parabolic shape of the door is represented by y - 32 = -\frac{2}{49}\cdot x^{2}. Now, the representation of the equation is included below as attachment.

At x = 0 inches and y = 22 inches, the distance from the edge of the door that head must observed to avoid being hit is:

y -32 = -\frac{2}{49} \cdot x^{2}

x^{2} = -\frac{49}{2}\cdot (y-32)

x = \sqrt{-\frac{49}{2}\cdot (y-32) }

If y = 22 inches, then x is:

x = \sqrt{-\frac{49}{2}\cdot (22-32)}

x = \pm 7\sqrt{5}\,in

x \approx \pm 15.652\,in

Head must 15.652 inches away from the edge of the door.

8 0
3 years ago
These two are the problems I need help with
ad-work [718]
Y=4 and I'm not sure on the second one sorry
4 0
3 years ago
Solve for kkk. \dfrac{3}{k} = \dfrac{4}{5} k 3 ​ = 5 4 ​ start fraction, 3, divided by, k, end fraction, equals, start fraction,
sweet-ann [11.9K]

Answer: \dfrac{15}{4}

Step-by-step explanation:

Given

\Rightarrow \dfrac{3}{k}=\dfrac{4}{5}

Apply cross-multiplication

\Rightarrow K=3\times \dfrac{5}{4}=\dfrac{15}{4}\\\\\Rightarrow k=3\ \dfrac{3}{4}

The value of k is \dfrac{15}{4}\ \text{or}\ 3\ \dfrac{3}{4}

5 0
3 years ago
Read 2 more answers
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