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Ipatiy [6.2K]
2 years ago
14

contractor wishes to build 9 houses, each different in design. In how many ways can he place these houses on a street if 6 lots

are on one side of the street and 3 lots are on the opposite side?
Mathematics
1 answer:
Tju [1.3M]2 years ago
5 0

The houses can be placed in 362,880 ways.

<u>Step-by-step explanation:</u>

The 9 houses are each in different design.

The each lot can place any of the 9 houses.

  • The 1st lot can place anyone house of all the 9 houses.
  • The 2nd lot can place one of remaining 8 houses.
  • The 3rd lot can place one of remaining 7 houses.

Similarly, the process gets repeated until the last house is placed on a lot.

<u>From the above steps, it can be determined that :</u>

The number of ways to place the 9 houses in 9 lots = 9!

⇒ 9×8×7×6×5×4×3×2×1

⇒ 362880 ways.

Therefore, the houses can be placed in 362880 ways.

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Gala2k [10]

Answer:

17.60

Step-by-step explanation:

Look at the room carefully, the length of the room is 11 feet

And the height = 10 feet

The area of the 4 walls of the room = 4( 11×10) = 440 sq ft

Area covered by each roll = 25 sq ft

= 440/25 = 17.60 rolls

Therefore we require 17.60 rolls to cover a rectangular room on all four sides.

7 0
2 years ago
Egbert is making trail mix out of 18 bags of nuts and 9 bags of dried fruit. He wants each new portion of trail mixto be identic
Over [174]

Answer:

2 bags of deezznuts and 1 bag of fruit

Step-by-step explanation:

18 bags of nuts

9 bags of fruit

2 bags of nuts mixed with 1 bag of fruit, multiply that by nine and you have no remainder on any of the bags

8 0
1 year ago
Two rectangular properties share a common side. Lot A is 33 feet wide and 42 feet long.
s344n2d4d5 [400]

Answer:

The width of lot B is 11 feet, so option A is correct.

Step-by-step explanation:

Given:

  • Two rectangular properties share a common side.  
  • Lot A is 33 feet wide and 42 feet long.  
  • The combined area of the lots = 1,848 square feet.  

To find:

How many feet wide is Lot B?  

Solution:

we know that, area of a rectangle is length x breadth

Then area of lot A = 33 x 42 = 1386 square feet.

And area of lot B = width x 42

Now, we are given that, total area = 1848  

area of lot A + area of lot B = 1848  

1386 + width x 42 = 1848  

width x 42 = 1848 – 1386  

width x 42 = 462  

width =\frac{42}{462}

width = 11

Hence, the width of lot B is 11 feet, so option A is correct.

7 0
2 years ago
Find all of the polar coordinates of point P if p=(1,-pi/6)
Mama L [17]

Answer:

The all polar coordinates of point P are  (1 , -pi/6 + 2nn) and (-1, -pi/6+(2n+1)n).

Step-by-step explanation:

The polar coordinates can be written as (r,Ф)= (r,Ф+2nn) or (r,Ф) =(-r,Ф+(2n+1)n) and n is any integer value.

We are given p=(1,-pi/6)

P(r,Ф), then r = 1 and Ф = -pi/6

The polar coordinates will be

P(r,Ф)= (r,Ф+2nn)  = (1 , -pi/6 + 2nn) and n is any positive integer and the value of r is positive.

P(r,Ф) =(-r,Ф+(2n+1)n) = (-1, -pi/6+(2n+1)n) and n is any positive integer and the value of r is negative.

The all polar coordinates of point P are  (1 , -pi/6 + 2nn) and (-1, -pi/6+(2n+1)n)

6 0
1 year ago
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AlexFokin [52]

The equation to find the air pressure (P(h)) at a height above sea level (h) is given by

P(h)=P_{0} e^{-0.00012h}

Where,

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We want to know the new pressure that is 65% of P_0.  So we should substitute 0.65P_0 in P(h) (new pressure) to get the equation:

0.65P_0=P_0e^{-0.00012h}. Answer choice B is the correct one.

ANSWER: B

4 0
2 years ago
Read 2 more answers
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