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Pavel [41]
3 years ago
8

What are the factors of x^2-144?

Mathematics
1 answer:
Ksju [112]3 years ago
9 0

Answer:

(x-12) (x+12)

Step-by-step explanation:

If you factor it out since both are perfect squares you would place an x on each side and then find the square root of 144, which is 12 and put a positive and a negative in each parenthesis.

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A triangle is inscribed in a circle. The vertices of the triangle divide the circle into three arcs of lengths 3, 4, and 5. What
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The area of the required triangle is <u>9/π²(3  + √3)</u> sq. units.

In the question, we are given that a triangle is inscribed in a circle. The vertices of the triangle divide the circle into three arcs of lengths 3, 4, and 5.

We are asked for the area of the triangle.

Now, the circumference of the circle = 3 + 4 + 5 = 12 units.

The formula for the circumference is 2πr, which gives is:

2πr = 12,

or, r = 6/π.

The length of the arcs are proportional to its central angle, making the angles: 3θ, 4θ, and 5θ, which needs to sum up to 360°, giving us θ = 360°/12 = 30°.

Thus, the three arcs subtends angles of θ₁ = 3θ = 90°,θ₂ = 4θ = 120°, and θ₃ = 5θ = 150°.

The area of the circle can be calculated as:

Area = (1/2)r² sin θ₁ + (1/2)r² sin θ₂ + (1/2)r² sin θ₃ = r²/2(sin θ₁ + sin θ₂ + sin θ₃).

Substituting the values, we get:

Area = 36/2π²(sin 90° + sin 120° + sin 150°),

or, Area = 36/2π²( 1 + √3/2 + 1/2),

or, Area = 9/π²(3  + √3).

Thus, the area of the required triangle is <u>9/π²(3  + √3)</u> sq. units.

Learn more about a triangle at

brainly.com/question/13734546

#SPJ4

5 0
1 year ago
CAN YOU ALSO HELP ME WITH THIS: 2x/4 + 3/8 = x/ 16- 3/2
Svetach [21]

Answer:  x = − 30  7   Decimal Form   : x = − 4. ¯¯¯¯¯¯¯¯¯¯¯¯ 285714     Mixed Number Form   : x = − 4 2 7

Step-by-step explanation:

3 0
3 years ago
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