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vlada-n [284]
2 years ago
14

A large city in the ancient world was square-shaped. measured in miles, its area numerically exceeded its perimeter by about 132

. find its dimensions. (round to the nearest tenth.
Mathematics
1 answer:
melisa1 [442]2 years ago
7 0
Area = perimeter + 132.  

Let  each side of the city be x miles long, then:-

x^2 = 4x  + 132
x^2 - 4x - 132 = 0

x  =  [-(-4) +/- sqrt((-4)^2 - 4 * 1 *-132)] / 2

x = 13.66, -9.66   We ignore the negative

So the city  has dimension of 13.66 * 13.66

13.7 * 13.7   to nearest 10th
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Triangle G F E is cut by line segment H J. Line segment H J goes from side G E to F E. The length of G F is 4 x minus 4, the len
alexira [117]

Answer:

HJ = 8  JE = 4

Step-by-step explanation:

it is given that H is the midpoint of GE and J is the midpoint of FE. According to the midpoint theorem the line segment connecting the midpoint of two sides is parallel to the three side and its length is half of the third side. since JH is connecting the midpoints.

HJ= 1/2 (GF)

x + 3 = 1/2 (4x - 4)

x + 3 = 2x - 2

x = 5

^ Thus meaning the value of x is 5.

Now you just fill into your equations:

HJ = x + 3 = (5)  + 3 = 8

JE = x - 1 = (5) - 1 = 4

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2 years ago
Before a renovation, a movie theater had 111 seats. after the renovation, the theater has 144 seats. what is the approximate per
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2 years ago
If the area of a garden is 11 square feet what could be the dimensions of the garden
sergejj [24]
Assuming that the garden is rectangular in shape, the area of a rectangle is given by length x width.

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Find a b if a = 3i + 8j and b = -0.5i -4j.
Gekata [30.6K]

Answer:

-33.5

Step-by-step explanation:

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Basically in short:

1. Multiply the “i’s”.

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3. Add the two products together.

HOPE THIS HELPS !! :-)

3 0
2 years ago
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san4es73 [151]
Step 1:

<span>Calculate the effective thermal conductivity of the wall or ceiling:
</span>
K_eff = [ (13 ÷ 8)(0.12) + (16 - (13 ÷ 8)) × (0.04)] ÷ 16 


K_eff =<span> [ 0.195 + 0.565] </span>÷<span> 16

</span>
K_eff = 0.76 ÷ 16
 

K_eff = 0.0475 W/ (m K) 


Step 2:

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Area of the interior ceiling = 8.64 m × <span>8.64 m
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H = - 0.0475 ÷ (379.45 × 20) ÷  45/8

H = - ( - 0.95 × 379.45 ) ÷<span> 0.1429
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H = <span>2.52 kW </span>
3 0
2 years ago
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