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77julia77 [94]
3 years ago
11

Can someone help me please and thank you

Mathematics
1 answer:
ioda3 years ago
3 0

let x feet be the highest of the boxes , and y be the number of boxes.

the answer is coming as 15 feet for 20 boxes and 12 boxes to reach the ceiling of 9 feet high

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35.20 is the decimal version
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The sum of the internal angles of a convex polygon is 1080º. Calculate the number of diagonals of this polygon.
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Step-by-step explanation:

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Jeff is having a dinner party. He has a large rectangular table that seats 10 people on each long side and 4 people on the two e
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28 people can sit at Jeff's table
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An airplane is preparing to land at an airport. It is 44,8000 feet above the ground and is descending at the rate of 3,100 feet
Marina86 [1]

Answer:

Time: 8 minutes

Altitude: 20000ft

Method 1 is easiest

Method 3 is easiest

Step-by-step explanation:

Given

Airplane 1:

Height = 44800 ft

Descending\ Rate = 3100ft/min

Airplane 2:

Ascending\ Rate = 2500ft/min

Required

Determine when both planes would be at the same altitude?

Let the minute be represented by m

For Airplane 1, Its altitude at any height h is:

Airplane\ 1 = Height - Descending\ Rate * m

<em>It is minus (-) because the airplane is descending</em>

Airplane\ 1 = 44800 - 3100 * m

Airplane\ 1 = 44800 - 3100m

For Airplane 2, Its altitude at any height h is:

Airplane\ 2 = Ascending\ Rate * m

Airplane\ 2 = 2500 * m

Airplane\ 2 = 2500m

Method 1:

For both heights to be equal, we have that:

Airplane\ 1 = Airplane\ 2

This gives:

44800 - 3100m = 2500m

Collect Like Terms

44800 = 2500m + 3100m

44800 = 5600m

5600m = 44800

m = 44800/5600

m = 8\ min

<em>Hence, the time they will be at the same altitude is 8 minutes</em>

Substitute 8 for m in

Airplane\ 2 = 2500m

Airplane\ 2 = 2500 * 8

Airplane\ 2 = 20000\ ft

<em>Hence, they will be at the same altitude at 20000ft</em>

Method 2:

We have that:

Airplane\ 1 = 44800 - 3100m

Airplane\ 2 = 2500m

Since they are to be at the same altitude, then

The difference in their altitude must be 0

i.e.

Airplane\ 1 - Airplane\ 2 = 0

This gives

44800 - 3100m - 2500m = 0

44800 - 5600m = 0

Collect Like Terms

5600m = 44800

m = 44800/5600

m = 8\ min

Substitute 8 for m in

Airplane\ 1 = 44800 - 3100m

Airplane\ 1 = 44800 - 3100 * 8

Airplane\ 1 = 44800 - 24800

Airplane\ 1 = 20000\ ft

Method 3:

We have that:

Airplane\ 1 = 44800 - 3100m

Airplane\ 2 = 2500m

Since they are to be at the same altitude, then

The ratio of their altitudes must be 1

i.e.

\frac{Airplane\ 1}{Airplane\ 2} = 1

\frac{44800 - 3100m}{2500m} = 1

Cross Multiply

44800 - 3100m = 1 * 2500m

44800 - 3100m = 2500m

Collect Like Terms

44800 = 2500m + 3100m

44800 = 5600m

5600m = 44800

m = 44800/5600

m = 8\ min

Substitute 8 for m in

Airplane\ 1 = 44800 - 3100m

Airplane\ 1 = 44800 - 3100 * 8

Airplane\ 1 = 44800 - 24800

Airplane\ 1 = 20000\ ft

Hence;

<em>Their altitudes must be 20000ft</em>

<em>Though the three methods applied uses the same logic at some point, the first method applied is still the easiest and it is a straight forward method that could be applied in solving the question.</em>

<em>Method 3 is the most difficult.</em>

7 0
3 years ago
(2x+3)²=125 find x<br>with full solution please​
Schach [20]

Answer:

<em>x = ± ( 5√5 - 3 ) / 2</em>

Step-by-step explanation:

We are given the equation ( 2x + 3 )² = 125;

( 2x + 3 )^{ 2 }  = 125 - Take Square Root on Either Side,\\| 2x + 3 | = \sqrt{ 125 } - Simplify Square Root of 125,\\\\| 2x + 3 | = \sqrt{ 5 * 25 } - Simplify Further,\\| 2x + 3 | = 5\sqrt{ 5 } - Take | |,\\\\2x + 3 = 5\sqrt{ 5 } , and , 2x + 5 = - 5\sqrt{ 5 } - Algebra, \\2x = 5\sqrt{ 5 } - 3 , and , 2x = - 5\sqrt{ 5 } - 3 - Divide Either Side by 2\\\\x = ( 5\sqrt{ 5 } - 3 ) / 2, and , x = ( - 5\sqrt{ 5 } - 3 ) / 2\\Conclusion ; x = ( + / - 5\sqrt{ 5 } - 3 ) / 2

<em>Solution ; x = ± ( 5√5 - 3 ) / 2</em>

7 0
3 years ago
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