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Ainat [17]
3 years ago
5

Find the coordinates of the point (a, b).

Mathematics
1 answer:
Leviafan [203]3 years ago
5 0

Answer:

a = \frac{1}{\sqrt{2} } and b = \frac{\sqrt{2} }{2}

Step-by-step explanation:

As we know, the radius of the unit circle is 1 unit (it is the hypotenuse in the right triangle, the blue line)

We use trigonometric formulas to find out a and b

  • Sin(45) = opposite side / hypotenuse

<=> Sin(45) = b / 1

<=> b= Sin(45)*1 = \frac{\sqrt{2} }{2}

  • Cos(45) = adjacent side / hypotenuse

<=> Cos(45) = a / 1

<=> a =  Cos(45)*1 = \frac{1}{\sqrt{2} }

So: a = \frac{1}{\sqrt{2} } and b = \frac{\sqrt{2} }{2}

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3 years ago
In a sample of 138 tables, the average height was found to be 32.6in. with a variance of 2.8. Give a point estimate for the popu
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Answer:

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Step-by-step explanation:

We are given the following in the question:

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We have to find a point estimate for the population variance of the height.

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3 years ago
Pls help meee!!!!!!!!!<br> Pls show your work pls and thank u
nikdorinn [45]

Answer: x = 40

Step-by-step explanation:

these two angles are vertical angles, they will equal each other

therefore, move numbers and variables to the opposite sides of the = sign to isolate the X

3x-10 = 2x + 30

   +10        +10           move the -10 by doing opposite

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3x = 2x + 40

-2x   -2x                    move -2x by doing opposite

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you can check your work by substituting 40 in place of x

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answer is correct

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2 years ago
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