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Helga [31]
2 years ago
11

15

Mathematics
1 answer:
Makovka662 [10]2 years ago
6 0

Answer:

Option A ( -3/2 , \frac{-3\sqrt{3} }{2} )

Step-by-step explanation:

  • According to Question, The Spinner Rotate 600* Thus after Completing 360* it Comes Exactly Where It Started . Now again rotate It 180* .
  • Now We Are on ( -X axis ) & Completed 360*+180*=540* Rotation
  • Now After Rotate It 60* More we come in Third Quadrant & Here In Third Quadrant Only Tangent & Cotangent Is Positive .(Sine & Cosine is Negative)  

(For Diagram, Please Find in attachment)

Now In Triangle OAB

  • Cos60* = OA / OB

        1/2 = -X / 3 Thus X= -3/2

  • Sin60* = AB / OB

        \sqrt{3}/2 = -Y / 3 Thus Y = -\sqrt{3} * 3 /2

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2 years ago
Isaiah has $145 in his savings account. He earns $36 a week mowing lawns.
valentina_108 [34]

Answer:

8 weeks

Step-by-step explanation:

Amount saved from mowing lawns = $433 - $145

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Strike441 [17]

Answer:

y = ⅔x - 5

Step-by-step explanation:

To write the equation, find the slope (m), to enable you write the equation of the line in point-slope form given a point, (-3, -7) that the line passes through.

Since the line is parallel to 2x - 3y = 24,, it would have the same slope (m) value.

Rewrite 2x - 3y = 24 in slope-intercept form.

Thus:

2x - 3y = 24

-3y = -2x + 24

y = ⅔x - 12

The slope of 2x - 3y = 24 is ⅔. Therefore, the line that is parallel to 2x - 3y = 24 is also ⅔.

To write the equation of the line, substitute (a, b) = (-3, -7) and m = ⅔ into y - b = m(x - a)

Thus:

y - (-7) = ⅔(x - (-3))

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y + 7 = ⅔x + 2

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5 0
3 years ago
Given f(x) = 1/3(4-x),What is the value of f(16)?
elena55 [62]

Answer:

-1/4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

16f=−4

Step 2: Divide both sides by 16.

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2 years ago
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Step-by-step explanation: 6

1

3

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Read 2 more answers
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