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tia_tia [17]
2 years ago
13

A building casts a shadow that is 55 feet long. At the same time, a woman standing nearby who is 5 feet 3 inches tall casts a sh

adow that is 45 inches long. How tall is the building to the nearest foot?
Mathematics
2 answers:
Mariulka [41]2 years ago
4 0

Answer:Let x = height of building to the nearest foot.

x/63 = 660(45)

45x = 660(63)

45x = 41580

Step-by-step e x = 41580/45

x = 924 inches

x = 924 inches � 12 inches in a foot

x = 77 feet

olga_2 [115]2 years ago
3 0

Answer:

77ft ?

Step-by-step explanation:

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A user’s password to access a computer system consists of 3 letters followed by 2 digits. How many different passwords are possi
Vesnalui [34]

Answer:

26*26*26 = 17576 ways to select 3 letters

10*10= 100 ways to select 2 numbers

So then the total number of ways are:

26^3 *10^2 = 1757600 possible ways

Step-by-step explanation:

For this case we assume that we have 26 letters from A to Z and 10 numbers from 0 to 9 .

And we want to calculate the number of possible passwords possible if the password consists of 3 letters followed by 2 digits.

And for this case we can use the multiplication principle of combinatories, since we don't have any restriction about the letters of the numbers we can have repetition of letters or numbers.

For the number of possible letters:

26*26*26 = 17576 ways to select 3 letters

10*10= 100 ways to select 2 numbers

So then the total number of ways are:

26^3 *10^2 = 1757600 possible ways

7 0
3 years ago
Read 2 more answers
At Fireside Bookshop, you buy a book for $30.00. If the sales tax is 9.5%, what is the total price you pay for the book?
AfilCa [17]

Answer:

$32.85

Step-by-step explanation: 9.5% of 30 is 2.85

30 + 2.85 = 32.85

4 0
3 years ago
Question 13 plz show ALL STEPS so I can learn thnx
evablogger [386]

9514 1404 393

Answer:

  a) (x³ -x² +x +2) +2/(x+1)

  b) (x² +2x -5) +6/(x+3)

Step-by-step explanation:

Polynomial long division is virtually identical to numerical long division, except that the quotient term does not require any guessing. It is simply the ratio of the leading terms of the dividend and divisor. As with numerical long division, the product of the quotient term and the divisor is subtracted from the dividend to form the new dividend for the next step.

The process stops when the dividend is of lower degree than the divisor.

In part (a), you need to make sure the dividend expression has all of the powers of x present. This means terms 0x³ and 0x² must be added as placeholders in the given dividend. They will become important as the work progresses.

7 0
3 years ago
Farmer Company purchased equipment on January 1, Year 1 for $82,000. The equipment is estimated to have a 5-year life and a salv
aalyn [17]

Answer:

option (a) $6,240

Step-by-step explanation:

Given:

Purchasing cost of the equipment = $82,000

Estimated life = 5 years

Salvage value = $4,000

Revised expected life = 8 years

Now,

Depreciation per year = \frac{\textup{82,000-4,000}}{\textup{5}}

therefore,

The accumulated Depreciation at the beginning of year 4

= Annual depreciation × years passed

= 15,600 × 3

= $46,800

Thus,

The book value at the beginning of year 4

= Purchasing cost - Depreciation

= $82,000 - $46,800

= $35,200

Now,

The remaining life = Revised estimated life - Years passed

= 8 - 3

= 5 years

therefore,

Depreciation expense =\frac{\textup{book value at the beginning of year 4 - salvage value}}{\textup{Revised estimated life}}

= \frac{\textup{35,200  - 4000}}{\textup{5}}

= $6,240

Hence,

The correct answer is option (a) $6,240

7 0
3 years ago
2<br> Find the Surface area of the prism.<br> (2 Points)<br> 5 in<br> 3 in<br> 8 in<br> 4 in
MrRa [10]

Answer:

The surface area of the prism is 108 square in.

3 0
3 years ago
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