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erik [133]
2 years ago
10

The perimeter of a standard-sized rectangular rug is 44 feet. The width is 2 feet

Mathematics
1 answer:
mariarad [96]2 years ago
8 0

Answer:

Step-by-step explanation:

Perimeter of a rectangle = 2(l+b)

Let the length be x

then width  = x-2

44 ft = 2(l+b)

44ft = 2(x + x-2)

44ft  =  2(2x-2)

44 ft = 4x -4

44+4 = 4x

48 = 4x

x = 48/4 = 12

Length = <u>x = 12</u>

Width = <u>x-2 = 12-2 =10</u>

<u></u>

<u>Length is 12 and width is 10</u>

<u></u>

<u>check if its correct </u>

2(l+b) = 44

2(12+10)=44

2(22) = 44

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Parametrically for real t the line is


(x,y,z) = (1-t)(1,0,1) + t(4,-3,3)


(x,y,z) = (1,0,1) + t(4-1,-3-0,3-1)


(x,y,z) = (1,0,1) + t(3,-3,2)


That's three equations; we substitute into


x+y+z=6


(1+3t)+(0-3t) + ( 1+2t)=6


2t=4


t=2


(x,y,z) = (1,0,1) + 2(3,-3,2) = (7,-6,5)


The intersection is a single point (7,-6,5).



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3 years ago
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Genrish500 [490]
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stealth61 [152]
 

Consider the 18g. to be 100% 
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3 years ago
A certain club has 10 members, including Harry. One of the 10 members is to be chosen at random to be the president, one of the
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Answer: E) 1/5

Step-by-step explanation:

The probability of any member being selected for each of the 3 posts is 1/10 that is they have equal probabilities of being selected for any of the posts.

The probability that harry would be selected for;

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Find the surface area of the prism
Andrei [34K]
<h3>Answer:  168 square feet</h3>

=========================================================

Explanation:

The front triangular face is a triangle with base 8 and height 6. Its area is

A = 0.5*base*height

A = 0.5*8*6

A = 24 square feet

The back triangular face is also 24 square feet since these are the base faces of the prism. The base faces are always congruent. It might help to imagine this figure is turned on its side.

The slanted lateral face is a rectangle of length 10 ft and width 5 ft, so its area is L*W = 10*5 = 50 square feet

The rectangular face on the left is 6 ft by 5 ft giving an area of 6*5 = 30 square feet.

Lastly, the bottom rectangular face is 8 ft by 5 ft giving an area 8*5 = 40 square feet

Overall, the total surface area is: 24+24+50+30+40 = 168 square feet

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