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kompoz [17]
3 years ago
8

Find the value of the variables in the image above

Mathematics
1 answer:
enyata [817]3 years ago
5 0

Answer:

x = 8\sqrt{3} , y = 8

Step-by-step explanation:

Using the sine and cosine ratios in the right triangle and the exact values

sin60° = \frac{\sqrt{3} }{2} , cos60° = \frac{1}{2}

sin60° = \frac{opposite}{hypotenuse} = \frac{x}{16} = \frac{\sqrt{3} }{2} ( cross- multiply )

2x = 16\sqrt{3} ( divide both sides by 2 )

x = 8\sqrt{3}

----------------------------------------------------------

cos60° = \frac{adjacent}{hypotenuse} = \frac{y}{16} = \frac{1}{2} ( cross- multiply )

2y = 16 ( divide both sides by 2 )

y = 8

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What is the distance between-93 and 114 on a number line?
Vsevolod [243]

Answer:

207

Step-by-step explanation:

114+93=207

The easiest way is to add their absolute values together instead of 114-(-93)

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4 years ago
What is 65(-20) equals and the other one
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Letter a is equal too -1300
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16) The angles of a quadrilateral are in AP, whose common difference is 10°.
Oksanka [162]

Answer:

75°, 85°, 95°, 105°

Step-by-step explanation:

Since the 4 angles form an AP, then the 4 angles are

a, a + d, a + 2d, a + 3d

where a is the first term and d the common difference

The sum of the angles in a quadrilateral = 360° thus

a + a + d + a + 2d + a + 3d = 360, that is

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8 0
3 years ago
Find parametric equations that describe the circular path of the following object. Assume​ (x,y) denotes the position of the obj
balu736 [363]

Answer:

  (x, y) = (600cos(10πt/9), -600sin(10πt/9))

Step-by-step explanation:

The usual translation between rectangular and polar coordinates is ...

  • x = r·cos(θ)
  • y = r·sin(θ)

Here, the radius is constant at r = 600 m, and the angle changes linearly with time. If we assume the initial angle is 0, then it is -2π radians (one full turn clockwise) at t=1.8 minutes. The relationship between θ and t will be given by ...

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Using these values for r and θ, we get the parametric equations ...

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  • y = 600·sin(-10πt/9)

We can take advantage of the fact that cosine is an even function, so cos(-θ) = cos(θ), and that sine is an odd function, so sin(-θ) = -sin(θ). This lets us write the equations as ...

  (x, y) = (600·cos(10πt/9), -600·sin(10πt/9))

6 0
3 years ago
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