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AlladinOne [14]
3 years ago
5

There are 49 floors. There are 26 offices on each of the bottom31 floors. The top of 18 floors have 38 offices. About how many o

ffices are there together?
Mathematics
1 answer:
zysi [14]3 years ago
7 0
31 × 26 = 806

18 × 38 = 684

806 + 684 = 1490
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A water tower in New York City has the shape of a cylinder with a cone on top. The cylinder has a diameter of 12 feet and a heig
vazorg [7]

Answer:

number of minutes to drain the entire tower = 241 minutes(nearest minutes)

Step-by-step explanation:

The water tower has the shape of  a cylinder with a cone on top . The volume of the water tower can be find when you find the sum of the volume of the cylinder and the cone.

Therefore,

volume of the cylinder = πr²h

where

r = 12/2 = 6 ft

h = 15 ft

volume = π × 6² × 15

volume = π × 36 × 15

volume of the cylinder = 540π

Volume of the cone = 1/3πr²h

r = 6 ft

Using tangential ratio we can find the height which is the opposite side of the triangle

tan 25° = opposite/adjacent

tan 25° = h/6

cross multiply

h = 6 tan 25°

h = 6 × 0.46630765815

h = 2.79784594893

h = 2.8 ft

volume of the cone  =  1/3πr²h

volume = 1/3 × π × 36 × 2.8

volume = 100.8π/3

volume = 33.6π

Volume of the tower system = 540π + 33.6π =  573.6π

volume of the tower system = 573.6 × 3.14 = 1801.104 ft³

1 cubic ft  = 7.48 gallons

1801.104 cubic fit = ? gallons

cross multiply

gallons = 1801.104 × 7.48

gallons = 13472.25792  gallons

The residents drains the water at the rate of 56 gallons per minute. Therefore,

56 gallons = 1 minutes

13472.25792  gallons = ? minutes

number of minutes = 13472.25792  /56

number of minutes = 240.576034286

number of minutes to drain the entire tower = 241 minutes(nearest minutes)

7 0
3 years ago
20% of 45<br> Help. Plzzzzzzzzzz
Mamont248 [21]
20% of 45 is 9......
8 0
3 years ago
Read 2 more answers
Bao owns a small business selling used books. She knows that in the last week 20
Bumek [7]

Answer:

44% cahnce

Step-by-step explanation:

To solve this, add up all the customers. Then, divide the amount of debit card customers, by the total amount of customers. This will give you percentage of people who paid in debit, which is also the probability:

20+26+13

=

59

This is the amount of customers. Now we divide:

26/59

=

0.4406

Remember that to create percentage, you must multiply the decimal by 100:

0.4406*100

=

44.06%

The .06 is so small that it doesnt need to be kept in this percentage:

44%

So this is you answer!

Hope it helps! :)

5 0
3 years ago
A theater company charges $10.50 per ticket for people of all age groups. If c represents the total number of children who bough
statuscvo [17]

The equation t = 10.5(c + a) represents the total money earned by the company from the sale of tickets

<u>Solution:</u>

Given that,

Ticket charged for people of all age groups = $ 10.50 per ticket

Let "c" represents the total number of children who bought tickets

Let "a" represents the total number of adults who bought tickets

Now, let the total money collect be represented by "t"

Number of people bought tickets = number of children bought tickets + number of adults bought tickets

<em><u>Now the total money earned by company is given as:</u></em>

Total money earned = cost per ticket x number of people bought tickets

Total money collected = cost per ticket x (number of children bought tickets + number of adults bought tickets)

Substituting the known values we get,

\mathrm{t}=10.5 \times(\mathrm{c}+\mathrm{a})

t = 10.5(c + a)

Hence, the required equation is t = 10.5(c + a)

3 0
4 years ago
Read 2 more answers
workers have painted 920 square feet of an office they have completed 80% of their job how many square feet do they need to. pai
Sloan [31]

80% = 0.80

divide the area done by the percentage:

920/0.80 = 1150

total area is 1150 square feet

7 0
3 years ago
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