2 years ago

Find the center and the radius of the circle with the equation:

Mathematics

1 answer:

zmey [24]2 years ago

3 0

Answer:

Step-by-step explanation:

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Illusion [34]

It’s negative 4 because the scale shows there is 4 lines

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2 years ago

What is the area of the sector ?

worty [1.4K]

They forget to say "not to scale". I'm guessing this is trig because I don't see another way to do it.

Let's consider x=chord PQ first. By the Law of Cosines

$x^2 = 3^2 + 5^2 - 2(3)(5) \cos 81^\circ = 34 - 30\cos 81^\circ$

We have an isosceles triangle formed by two radii of 9 cm and x=PQ. By the Law of Cosines again,

$x^2 = 9^2 + 9^2 - 2(9)(9) \cos B$

$x^2 = 162 - 162 \cos B$

$\cos B = \dfrac{162 - x^2}{162} = 1 - \dfrac{x^2}{162}$

$\cos B = 1 - \dfrac{34 - 30\cos 81^\circ}{162}$

$B = \arccos \left(1 - \dfrac{34 - 30\cos 81^\circ }{162} \right)$

The area of the circle is the fraction given by the angle,

$A = \dfrac{B}{360^\circ} \pi r ^2$

$A \approx \dfrac{ \arccos \left(1 - \dfrac{34 - 30\cos 81^\circ}{162} \right) }{360} (3.142)9^2$

$A\approx 24.7474332960707$

Answer: 24.7 sq cm

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2 years ago

Two cities are 150 miles apart. The map that Eric is reading has a scale of 2 inches = 25 miles. How far apart are the two citie

sasho [114]

Answer:

12 inches

Step-by-step explanation:

2 inches = 25 miles

25 * 6 = 150 miles

6 0

2 years ago

Rewrite the equation by completing the square. 4 x^{2} -12 x +9 = 04x 2 −12x+9=0

DedPeter [7]

Answer:

(2x -3)^2 = 0

Step-by-step explanation:

In this particular instance, the square is already complete. The rewrite is to show that.

(2x -3)^2 = 0

In the general case, ...

(ax +b)^2 = a^2x^2 +2abx +b^2

Comparing this form to the given left-side expression, we see that ...

a = 2, b = -3

So, the trinomial is already a perfect square trinomial.

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2 years ago

Which description matches the algebraic expression B+98?

vfiekz [6]

1. The sum of b and ninety-eight

5 0

2 years ago

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