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Artist 52 [7]
3 years ago
5

Solve the triangle.

Mathematics
1 answer:
velikii [3]3 years ago
3 0
Given 2 sides and 1 included angle, the area of a triangle can be solved using the formula:

Area = ab (sin C)/2

Substituting the given values:

Area = 10 * 23 * (sin 95)/2
Area = 114.56 sq. units
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3 over 3 - square root 5
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Answer:

-1.236.

Step-by-step explanation:

3/3 = 1.

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1.000 - 2.236 = -1.236.

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Step-by-step explanation:

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Find an equation of the plane with x-intercept a, y-intercept b, and z-intercept c. What is the distance between the origin and
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Answer:

The equation is:

(1/a)x + (1/b)y + (1/c)z = 1

Step-by-step explanation:

The direction vector between the points (a, 0, 0) and (0, b, 0) is given as:

<0 - a, b - 0, 0 - 0>

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The direction vector between (0, 0, c) and (0, b, 0) is given as:

<0 - 0, b - 0, 0 - c>

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To obtain the direction vector that is normal to the surface of the plane, we take the cross product of (1) and (2).

Doing this, we have:

<-a, b, 0> × <0, b, -c> = <-bc, -ac, -ab>

To find the scalar equation of the plane we can use any of the points that we know. Using (0, b, 0), we have:

(-bc)x + (-ac)y + (-ab)z = (-bc)0 + (-ac)b + (-ab)0

(bc)x + (ac)y + (ab)z = (ac)b

Dividing both sides by abc, we have:

(1/a)x + (1/b)y + (1/c)z = 1

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Answer:

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