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nikitadnepr [17]
3 years ago
11

a plane rises from take-off and flies at an angle of 6 with the horizontal runway. When it has gained 900 feet, find the distanc

e, to the nearest foot, the plane has flown.
Mathematics
1 answer:
Vladimir79 [104]3 years ago
6 0

Answer:

d=8610.1ft

Step-by-step explanation:

From the question we are told that:

Angle \theta =6\textdegree

Height of plane h=900ft

Generally the trigonometric equation for distance flown d is mathematically given by

  sin \theta=\frac{h}{d}

Therefore

 d=\frac{h}{sin\theta}

 d=\frac{900}{sin6}

 d=8610.1ft

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Answer:

5 x 3 = 15

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10.5 + 15 = 25.5

she paid $25.50

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What is the domain of f(x)=1/x-3
wel

Answer:

The domain is all real numbers except x=3

Step-by-step explanation:

Assuming you mean

f(x) = 1/(x-3)

The domain is all numbers that x can take

This function is define except when the denominator goes to zero

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On Fridays, Jerry stops at Steak & Taco Shack before he goes home. This week
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Answer:

Steak sandwich = x = 4

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Taco salad = z = 2

Step-by-step explanation:

Let :

Steak sandwich = x

Cheese fries = y

Taco salad = z

This week:

x + 2y + 2z = 11.50 - - - - (1)

Last week :

2x + 3y + z = 15.25 - - - (2)

Two weeks ago :

x + 4y + z = 13 - - - - - (3)

Taking (1) and (2)

x + 2y + 2z = 11.50 ___(1)

2x + 3y + z = 15.25 ___(2)

Multiply (1) by 2 and (2) by 1 and subtract

2x + 4y + 4z = 23

2x + 3y + z = 15.25

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y + 3z = 7.75 - - - - (4)

Taking (2) and (3)

2x + 3y + z = 15.25 - - (2)

x + 4y + z = 13 - - - - - (3)

Multiply (2) by 1 and (3) by 2 and subtract

2x + 3y + z = 15.25

2x + 8y + 2z = 26

______________

-5y - z = - 10.75 - - - - - (5)

Lets solve (4) and (5)

y + 3z = 7.75 - - - - (4) - - - multiply by 5

-5y - z = - 10.75 - - - - - (5) - - - multiply by 1

Then add the result :

5y + 15z = 38.75

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14z = 28

z = 28 / 14

z = 2

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y + 3z = 7.75

y + 3(2) = 7.75

y + 6 = 7.75

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x + 4(1.75) + 2 = 13

x + 7 + 2 = 13

x + 9 = 13

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Hence,

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The measures of the angles of a triangle are shown in the figure below. Solve for x.
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