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mafiozo [28]
3 years ago
13

Kaylib’s eye-level height is 48 ft above sea level, and addison’s eye-level height is 85 and one-third ft above sea level. how m

uch farther can addison see to the horizon? use the formula d = startroot startfraction 3 h over 2 endfraction endroot, with d being the distance they can see in miles and h being their eye-level height in feet. startroot 2 endroot mi 2 startroot 2 endroot mi 14 startroot 2 endroot mi 28 startroot 2 endroot mi
Mathematics
1 answer:
GalinKa [24]3 years ago
5 0

The addison see to the horizon at 2 root 2mi.

We have given that,Kaylib’s eye-level height is 48 ft above sea level, and addison’s eye-level height is 85 and one-third ft above sea level.

We have to find the how much farther can addison see to the horizon

<h3>Which equation we get from the given condition?</h3>

d=\sqrt{\frac{3h}{2} }

Where, we have

d- the distance they can see in thousands

h- their eye-level height in feet

For Kaylib

d=\sqrt{\frac{3\times 48}{2} }\\\\d=\sqrt{{3(24)} }\\\\\\d=\sqrt{72}\\\\d=\sqrt{36\times 2}\\\\\\d=6\sqrt{2}....(1)

For Addison h=85(1/3)

d=\sqrt{\frac{3\times 85\frac{1}{3} }{2} }\\d\sqrt{\frac{256}{2} } \\d=\sqrt{128} \\d=8\sqrt{2} .....(2)

Subtracting both distances we get

8\sqrt{2}-6\sqrt{2}  =2\sqrt{2}

Therefore, the addison see to the horizon at 2 root 2mi.

To learn more about the eye level visit:

brainly.com/question/1392973

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storchak [24]

Answer:


Step-by-step explanation:

(a)

Given the system of equation:

5x-2y=-6                .....[1]

2x-y=1                    .....[2]

Multiply equation [2] by -2 we get;

-4x + 2y = -2         ......[3]

Add equation [1] and [3] to eliminate y and solve for x we have;

5x -2y+(-4x+2y) = -6-2

5x -2y-4x+2y= -6-2

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-y = 17

or

y =-17

Answer; Solution for the given system of equation is (-8, -17)

Verify:

Substitute the value of x = -8 and y = -17 in the system of equation;

5x -2y = -6

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-6 = -6          True

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(b)

Given the system of equation:

2x+3y=432                .....[1]

5x-2y=16                    .....[2]

Multiply equation [2] by 3 and equation [1] by 2 we get;

15x -6y = 48         ......[3]

4x +6y = 864         ......[4]

Add equation [3] and [4] to eliminate y and solve for x we have;

15x -6y+4x+6y =48+864

Combine like terms;

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Divide both sides by 19 we get

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Substitute the value of x in [2] we get;

5(48)-2y=16

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Subtract 240 from both sides we get;

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Divide both sides by -2 we get

y =112

Answer: Solution for the given system of equation is (48, 112)

Verify:

Substitute the value of x = 48 and y = 112 in the system of equation;

2x+3y=432  

2(48)+3(112)=432  

96+33+3y=432            

432=432         true

5x-2y=16  

5(48)-2(112)=16  

240-224=16

16 = 16                          true  


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