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aksik [14]
3 years ago
5

Help please asap i show step by step !

Mathematics
1 answer:
pychu [463]3 years ago
6 0

Answer:

a = 4\sqrt{3}

b= 4

Step-by-step explanation:

It's a 30-60-90 triangle based on the given picture. A right triangle too

Use sine, cosine, and tangent to solve for the side.

To find b, you can use sin(30) = b/8 because sin(angle) = opposite/hypotenuse.

OR you can use the rule for 30-60-90 triangle, which is x for short leg, 2x for hypotenuse, and x\sqrt{3} for long leg

So either way, b = 4

To find a, you can use cos(30) = a/8 because cos(angle) = adjacent/hypotenuse.

OR you can use the same rule, 30-60-90 triangle to save time

a will end up = 4\sqrt{3}

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Which equation represents a circle that contains the point (-5, -3) and has a center at (-2, 1)?
Daniel [21]

The correct answer is: (x + 2)^2 + (y - 1)^2 = 25

Step-by-step explanation:

Given

Point on circle = P = (-5,-3)

Centre = C = (-2,1)

The distance between C and P is the radius of circle.

So,

CP = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\= \sqrt{(-5+2)^2+(-3-1)^2}\\=\sqrt{(-3)^2+(-4)^2}\\= \sqrt{9+16}\\=\sqrt{25}\\=5\ units

Hence,

r = 5 units

The general form of equation of circle is:

(x-h)^2+(y-k)^2 = r^2

Here (h,k) are the coordinates of circle

(h,k) = (-2,1)

Putting the values in standard equation

(x-(-2))^2+(y-1)^2 = (5)^2\\(x+2)^2+(y-1)^2 = 25

Hence,

The correct answer is: (x + 2)^2 + (y - 1)^2 = 25

Keywords: Circle, equation of circle

Learn more about equation of circle at:

  • brainly.com/question/9231234
  • brainly.com/question/9214411

#LearnwithBrainly

8 0
3 years ago
The resistance, R, to electricity of a cylindrical-shaped wire is given by the equation R=pL/(pi)d^2 where p represents the resi
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D.) The resistance approaches infinity.

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Eso es porque
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3 years ago
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