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ra1l [238]
3 years ago
11

a cone-shaped storage tank has a height of 9feet and radius of 7feet. determine the volume of liquid the tank can hold.

Mathematics
1 answer:
Drupady [299]3 years ago
4 0

Answer:

(PI* radius^2 * height) / 3

Volume = PI * 49 * 9 / 3

Volume = 461.8141200777  cubic feet

Volume = 461.81 cubic feet (rounded)

Step-by-step explanation:

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Which expression is equivalent to Left-bracket log 9 + one-half log x + log (x cubed + 4) Right-bracket minus log 6? log StartFr
dybincka [34]

Answer:

  \log{\dfrac{3\sqrt{x}(x^3+4)}{2}}

Step-by-step explanation:

\log{9}+\dfrac{1}{2}\log{x}+\log{(x^3+4)}-\log{6}=\log{\left(\dfrac{9x^{\frac{1}{2}}(x^3+4)}{6}\right)}\\\\=\boxed{\log{\dfrac{3\sqrt{x}(x^3+4)}{2}}}\qquad\text{matches choice A}

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3 0
3 years ago
a person in a whispering gallery standing at one focus of the ellipse can whisper and be heard by a person standing at the other
Lynna [10]

The Height of the ceiling at the center is  57.6628 feet

In geometry, an ellipse is a two-dimensional shape, that is defined along its axes. An ellipse is formed when a cone is intersected by a plane at an angle with respect to its base.

It has two focal points. The sum of the two distances to the focal point, for all the points in curve, is always constant.

The General form of ellipse is \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1

According to the question,

Length of whispering gallery is 130 feet

The foci are located 30feet from the center (0,0)

So, 2a = 130

=> a = 130/2

=> a = 65

and c = 30

As we know ,

=> c² = a² - b²

=> (30)² = (65)² - b²

=> 900 = 4225 - b²

=> b² = 4225 - 900

=> b² = 3325

=> b = 57.7 feet

Therefore , the height of the ceiling at the center is 57.6628 feet

To know more about Ellipse here

brainly.com/question/19507943

#SPJ4

7 0
11 months ago
I got 30.9 but Idk if it’s right
erica [24]

Answer:

Step-by-step explanation: I think that is correct, can you explain to me tho how you got that answer?

8 0
3 years ago
Read 2 more answers
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