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konstantin123 [22]
4 years ago
5

Two rectangular properties share a common side. Lot A is 33 feet wide and 42 feet long.

Mathematics
1 answer:
s344n2d4d5 [400]4 years ago
7 0

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.

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umka21 [38]

Answer:

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Step-by-step explanation:

To find (f + g)(x), you need to add both the f(x) and g(x) equations together.

f(x) = x/3 - 2 ..... which is equal to ... f(x) = (1/3)x - 2

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(f + g)(x) = ((1/3)x - 2) + (3x² + 2x - 6)          <----- Add both equations

(f + g)(x) = 3x² + (1/3)x + 2x - 2 - 6              <----- Rearrange (2 = 6/3)

(f + g)(x) = 3x² + (7/3)x - 8                           <----- Simplify similar terms

6 0
2 years ago
Jess and Wes used to race each other when they were younger. Jess could cover 8
marshall27 [118]

Answer:

160 meters

Step-by-step explanation:

Let call dj  distance run by  Jess    and   dw  distance run by Wes

By Jess courtesy Wes will be  60 meters ahead of Jess

Let call t the time in which both runners are at the same point, which in fact is when both distances are equal

dj  =  8 m/sec * t        and    dw  =  60  +  5 m/sec * t

Then we make  dj = dw

8*t  =  60 + 5*t

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t = 20 sec

Now passed 20 sec  dj   =   8 * 20   = 160 m

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5 0
4 years ago
I am thinking of a number.
mash [69]

Answer:

21

Step-by-step explanation:

Let x be that number.

12x-216=2x-6

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8 0
3 years ago
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Helppppppppp
leva [86]
Answer: 14 feet. a. The Pythagorean theorem is a^2 + b^2 = c^2, where a and b are the sides of a right angle. By plugging in the sides of the wall, and solving for c, you can find the answer. 10^2 + 10^2 = c^2
| 100 + 100 = c^2 | 200 = c^2 | c = sqrt 200 | c = 14. The other way to solve this would be using the trig functions. You know that the angle between the hypotenuse and the wall side is 45 degrees, so you can use Sine to determine the hypotenuse. Sine is equal to opposite over hypotenuse. Sin (45) = 10/h | Sin (45) * h = 10 | h = 10/Sin (45) | h = 14. Both of the methods result in 14.
8 0
3 years ago
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