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Gala2k [10]
3 years ago
7

Do any three points not on the same line always, sometimes, or never determine a plane? Explain

Mathematics
1 answer:
iVinArrow [24]3 years ago
6 0

Answer:

  always

Step-by-step explanation:

There is exactly one plane through any three non-collinear points.

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The ratio of beaks to wings in a flock of birds is 1:2
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Conic sections are defined using a directrix (<span>a fixed line used in describing a curve or surface) and a focus, and those are: parabola, ellipse, and hyperbola. </span>
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If you multiply two decimals that are less than 1, can you predict whether the product will be less than or greater than the fac
AlekseyPX

Answer:

it would be greater than the factors

Step-by-step explanation:

5 0
4 years ago
If BC= 48 cm and sin
erastovalidia [21]

Using relations in a right triangle, it is found that the length of AC is of 14 cm.

<h3>What are the relations in a right triangle?</h3>

The relations in a right triangle are given as follows:

  • The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
  • The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
  • The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

Researching this problem on the internet, we have that:

  • The opposite leg to angle A is of 48 cm.
  • sin(A) = 0.96.

Hence the hypotenuse is found as follows:

sin(A) = 48/h

0.96 = 48/h

h = 48/0.96

h = 50 cm.

The length of side AC is the other leg of the triangle, found using the Pythagorean Theorem, hence:

x^2 + 48^2 = 50^2

x^2 = \sqrt{50^2 - 48^2}

x = 14 cm.

More can be learned about relations in a right triangle at brainly.com/question/26396675

#SPJ1

6 0
2 years ago
Type the correct answer in each box
Luba_88 [7]

Answer:

We know that the equation of the circle in standard form is equal to <em>(x-h)² + (y-k)² = r²</em> where (h,k) is the center of the circle and r is the radius of the circle.

We have x² + y² + 8x + 22y + 37 = 0, let's get to the standard form :

1 - We first group terms with the same variable :

(x²+8x) + (y²+22y) + 37 = 0

2 - We then move the constant to the opposite side of the equation (don't forget to change the sign !)

(x²+8x) + (y²+22y) = - 37

3 - Do you recall the quadratic identities ? (a+b)² = a² + 2ab + b². Now that's what we are trying to find. We call this process <u><em>"completing the square"</em></u>.

x²+8x = (x²+8x + 4²) - 4² = (x+4)² - 4²

y²+22y = (y²+22y+11²)-11² = (y+11)²-11²

4 - We plug the new values inside our equation :

(x+4)² - 4² + (y+22)² - 11² = -37

(x+4)² + (y+22)² = -37+4²+11²

(x+4)²+(y+22)² = 100

5 - We re-write in standard form :

(x-(-4)²)² + (y - (-22))² = 10²

And now it is easy to identify h and k, h = -4 and k = - 22 and the radius r equal 10. You can now complete the sentence :)

5 0
3 years ago
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