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lesya [120]
2 years ago
5

Select the correct answer.

Mathematics
1 answer:
Usimov [2.4K]2 years ago
4 0

Applying the law of sines, the approximate length of side YZ is: A. 15.7 units.

<h3>How to Apply the Law of Sines?</h3>

Law of sines is expressed as follows: x/sin X = y/sin Y = c/sin Z.

Given the following:

  • x (YZ) = ?
  • X = 32°
  • z = 24
  • Z = 180 - 32 - 94 = 54°

Plug in the values

x/sin 32 = 24/54

x = (sin 32 × 24)/sin 54

x ≈ 15.7 units.

Learn more about the law of sines on:

brainly.com/question/27174058

#SPJ1

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3 years ago
Find an equation of the set of all points equidistant from the points A(−3, 6, 3) and B(4, 1, −1). Describe the set.
valentinak56 [21]

Answer:

See below

Step-by-step explanation:

I will describe this set in R³. Let P=(x,y,z) be a point equidistant to A and B, that is, the distance from P to A is equal to the distance from P to B.

First, using the usual distance formula, the distance from P to A is equal to d(P,A)=\sqrt{(x-(-3))^2+(y-6)^2+(z-3)^2}=\sqrt{(x+3)^2+(y-6)^2+(z-3)^2}

On the other hand, the distance form P to B is equal to d(P,B)=\sqrt{(x-4)^2+(y-1)^2+(z-(-1))^2}=\sqrt{(x-4)^2+(y-1)^2+(z+1)^2}

P is equidistant from A and B if and only if P satisfies the equation d(P,A)=d(P,B), that is,

\sqrt{(x+3)^2+(y-6)^2+(z-3)^2}=\sqrt{(x-4)^2+(y-1)^2+(z+-1)^2}

Take the square in both sides of this equation to get

(x+3)^2+(y-6)^2+(z-3)^2=(x-4)^2+(y-1)^2+(z+1)^2

(x+3)^2-(x-4)^2+(y-6)^2-(y-1)^2+(z-3)^2-(z+1)^2=0

You can simplify using difference of squares and multiplying like this:

(7)(2x-1)+(-5)(2y-7)+(-4)(2z-2)=0

14x-10y-8z+36=0

which is the equation of a plane.

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4 years ago
Which of the following represents the solution set to 4x^2+8x-1=0?
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Answer:

4

Step-by-step explanation:

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