if a right circular cone has a volume of 15 cubic ft and a radius of 3 ft, what is the height of the cone?

Answers

Answer 1
Answer: volume of cone=1/3 times height times pir^2
v=15
r=3
15=1/3 hpi3^2
15=1/3hpi9
15=9/3hpi
15=3hpi
divide 3
5=hpi
h=5/pi
pi=aprox 3.14
5/3.14=1.59

1.59 ft

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"The auditorium can hold a maximum 150 people." what would the translation be

Answers

Final answer:

The sentence is about the capacity of an auditorium, stating how many people it can hold. If you're asking for a translation into a different language, it would depend on the specific language.

Explanation:

The sentence 'The auditorium can hold a maximum 150 people.' is an English sentence stating the capacity of an auditorium - the maximum number of people it can safely accommodate. In terms of translation, if you meant translating to another language, the translation would vary based on the language. For example, in Spanish, it would be 'El auditorio puede albergar un máximo de 150 personas.'

Learn more about translation here:

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2 < 150

Step-by-step explanation:
Given
The statement above
Required:
Translate & Solve
Represent the people in the auditorium with x
When we say maximum, we mean "less than or
equal to"
So:
A maximum of 150 people means ≤ 150
Since, the population is represented with x, the
expression can then be properly written as:
2 ≤ 150



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The common stock of air united had annual returns of 13.7 percent, 4.8 percent, -6.7 percent, and 27.9 percent over the last four years, respectively. what is the standard deviation of these returns?

Answers

JDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPE

What is the solution to the system of equations? y = 1/2x-6 and x=-4

Answers

All you have to do is plug -4 for x

y = 1/2 * -4 - 6

y = -8

Solution: (-4, -8)

The dimensions of a rectangle are dilated using a scale factor of 3. If the old area is 75 sq. Ft. What is the area of the new rectangle

Answers

Answer:

225 sq. Ft

Step-by-step explanation:

Key words in the question;

Dilated - This means increased pr expanded

Scale factor of 3 - This basically means multiplied by 3

Old square = 75 sq. Ft

This means;

New are = Old area * 3

New area = 75 * 3 = 225 sq. Ft

What a^2-2a-3=0 by solving equations by completing the square

Answers

a^2-2a-3=0\na^2-2a+1-4=0\n(a-1)^2=4\na-1=-2 \vee a-1=2\na=-1 \vee a=3

A base ball team played 22 games they won 4 more then they lost how many games did they win

Answers

First you minus 4 from 22, to get 18 - to find how the number of games they won and lost.
Next, you divide 18 by 2 and add 4 - this is the number of games they won.
Answer: 13