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Serggg [28]
4 years ago
13

Which number is irrational? 0.656656665. . . 0.78¯¯¯¯ 2.35 227

Mathematics
1 answer:
Anuta_ua [19.1K]4 years ago
3 0

Answer:

0.656656665...

Step-by-step explanation:

This number is irrational because it goes on forever, as indicated by the ...

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dsp73

Answer:

-7x-56

Step-by-step explanation:

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3 years ago
. Two bicyclists, Sarah and Emily, depart from the same location. Sarah heads N55°E at an average speed of 6 km/hr. Emily heads
Liula [17]

Answer:

The distance between them after 30 minutes is 6.5 km.

Step-by-step explanation:

Speed = \frac{distance}{time}

Sarah's speed = 6 km/hr = 1.6667 m/s

Emily's speed = 10 km/hr = 2.7778 m/s

The measure of angle between their bearings = 105^{o}

After 30 minutes (1800 seconds);

distance = speed x time

Sarah would have covered a distance = 1.6667 x 1800

                               = 3000 m

                               = 3 km

Emily would have covered a distance = 2.7778 x 1800

                               = 5000 m

                               = 5 km

The distance between them, a, can be determined by applying the cosine rule;

a^{2} = b^{2} + c^{2} - 2bcCos A

   = 5000^{2} + 3000^{2} -2(5000 x 3000) Cos 105

   = 5000^{2} + 3000^{2} -2(5000 x 3000) x (-0.2588)

   = 2.5 x 10^{7} + 9 x 10^{6} + 7764000

   = 41764000

a = \sqrt{41764000}

  = 6462.5073

a = 6462.5 m

The distance between them after 30 minutes is 6.5 km.

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3 years ago
Alvin has $30 and is saving $10 per week. Buzzy has $10 and he saves $15 per week. Both are saving for a guitar that costs $225
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It takes alvin 20 weeks, and it takes buzzy 15 weeks
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Deffense [45]

Answer:

(0, 9 ) and (- 4, 1 )

Step-by-step explanation:

To determine which ordered pairs lie on the graph substitute the x- coordinate of the point into the right side of the equation and compare the value obtained with the y- coordinate

(- 20, - 49 )

2x + 9 = (2 × - 20) + 9 = - 40 + 9 = - 31 ≠ - 49

(1, 10 )

2x + 9 = (2 × 1) + 9 = 2 + 9 = 11 ≠ 10

(0, 9 )

2x + 9 = (2 × 0) + 9 = 0 + 9 = 9 ← point lies on graph

(- 4, 1 )

2x + 9 = (2 × - 4) + 9 = - 8 + 9 = 1 ← point lies on graph

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