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rosijanka [135]
3 years ago
16

How many permutations are possible for 11 objects taken 7 at a time? 330 5,040 237,600 1,663,200

Mathematics
1 answer:
USPshnik [31]3 years ago
5 0

11 choose 7 is equal to 11 choose 4. 11*10*9*8/4/3/2=330.


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An apartment complex has a floor plan with dimensions shown. To effectively air condition a room, 20 BTU’s are required for ever
kifflom [539]

12,900 BTU's are required to cool the room effectively.

Step-by-step explanation:

Step 1:

We must calculate the area of the entire shape to determine the minimum BTU's required to cool the room effectively.

It is made up of a semi-circle a rectangle, and a trapezoid.

Step 2:

The area of a semi-circle =\frac{ \pi r^{2} }{2} .

Here, the diameter is 20 feet so the radius is 10 feet.

The area of the semi-circle =\frac{ \pi r^{2} }{2} =\frac{ (\pi) (10^{2}) }{2} = 157.079 square feet.

The area of a rectangle = (l)(w).

The length of the rectangle is 22 feet and the width is 20 feet.

The area of a rectangle = (l)(w) =(22)(20) = 440 square feet.

The area of a trapezoid =\frac{a+b}{2} (h).

Here a=12, b= 20, h= 3.

The area of a trapezoid =\frac{12+20}{2} (3) = 48 square feet.

Step 3:

The total area of the floor plan =157.079+440+48 = 645.079 square feet.

If 20 BTU's are required for a single square foot,

The number of BTU's for 645.079 square feet = (645.079)(20)=12,901.58 BTU's.

Rounding this off, we get 12,900 BTU's required  to cool the room effectively.

7 0
3 years ago
How many repeating digits are in 0.536<br><br> A. 1<br><br> B. 2<br><br> C. 3<br><br> D. 4
AURORKA [14]

Answer: there is 4 digits in the number 0.536

Step-by-step explanation: Remember that the zero counts as a number

5 0
3 years ago
Whether you agree with your parents or not regarding money, you should always respect and honor their decisions.
katen-ka-za [31]

Answer:

true

Step-by-step explanation:

your their child.

5 0
3 years ago
Read 2 more answers
2x-5y=17 ..solve for y
AlladinOne [14]
2x-5y=17\ \ \  \ | subtract\ 2x\\\\&#10;-5y=17-2x\ \ \ | divide\ by\ -5\\\\&#10;y=\frac{-17+2x}{5}\\\\Solution\ is\ y=\frac{-17+2x}{5}.
7 0
3 years ago
Sam and Jeremy have ages that are consecutive odd integers. The product of their ages is 783, which equation could be used to fi
stepladder [879]
(2x+1)=Jeremy´s age
(2x+3)=Sam´s age.
we suggest this equation:
(2x+1)(2x+3)=783
4x²+6x+2x+3=783
4x²+8x-780=0
x²+2x-195=0

We solve this quadratic equation:
x=[-2⁺₋√(4-4*1*(-195))]/2=(-2⁺₋28)/2

x₁=(-2-28)/2=-15 this solution is not valid.
x₂=(-2+28)/2=13

Jeremy´s age=2x+1=2*13+1=27
Sam´s age=2x+3=2*13+3=29



7 0
3 years ago
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