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natulia [17]
3 years ago
6

Suppose his airplane flies in still air at a speed of 420 km/h. One day the wind is blowing strongly at 110 km/h towards the nor

th. Prof. Jacome flies the planefrom Manhattan to Miami, a due east displacement on the ground. See the diagram, and identity the vectors for:(a) the velocity of the plane relative to the ground? A B C (b) the velocity of the plane relative to the air? A B C (c) Calculate the direction that the airplane should head or point, so that its net motion is towards Miami. Express the result using points of the compass and an angle, 25 degrees west of north.
Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
3 0
The answer will be 46,200 Hopes this helps. :)
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The perimeter of a rectangular baking sheet is 58 inches and its area is 201.25 in.2. What are the length and width of the bakin
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Answer:

Length=17.5\ in\\\\Width=11.5\ in

Step-by-step explanation:

The formula for calculate the Area of a rectangle is:

A=lw

Where "l" is the lenght and "w" is the width.

And the formula for calculate the peimeter of a rectangle is:

P=2l+2w

Where "l" is the lenght and "w" is the width.

We know that the perimeter of the rectangular baking sheet is 58 inches and its area is 201.25 in². Then:

A=201.25\ in^2\\\\P=58\ in

<u>The steps are:</u>

1. Solve for the "l" from the formula A=lw:

A=lw\\\\l=\frac{A}{w}\\\\\l=\frac{201.25}{w}

2. Substitute l=\frac{201.25}{w} into the formula P=2l+2w and solve for "w":

58=2(\frac{201.25}{w})+2w\\\\58=\frac{402.5}{w}+2w\\\\58=\frac{402.5+2w^2}{w}\\\\58w=402.5+2w^2\\\\2w^2-58w+402.5=0

Applying the Quadratic formula x=\frac{-b\±\sqrt{b^2-4ac}}{2a}, we get:

x=w=\frac{-(-58)\±\sqrt{(-58)^2-4(2)(402.5)}}{2(2)}\\\\w_1=17.5\\\\w_2=11.5

3.  Substitute w_1=17.5 into l=\frac{201.25}{w}:

l=\frac{201.25}{17.5}=11.5

4. Substitute w_2=11.5 into l=\frac{201.25}{w}:

l=\frac{201.25}{11.5}=17.5

Therefore, since the value of the lenght of a rectangle must be greater that the value of the width, we can conclude that the lenght and the width of the rectangular baking sheet are:

l=17.5\ in\\\\w=11.5\ in

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sergiy2304 [10]

Answer:

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Step-by-step explanation:

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What is the answer to<br><br>6 1/4-3 5/8
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Answer:

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Step-by-step explanation:

solution by separating parts:

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