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RUDIKE [14]
3 years ago
15

What is the length of the hypotenuse

Mathematics
2 answers:
Liula [17]3 years ago
8 0

Answer:

20

Step-by-step explanation:

To find Hypotenuse: Pythagorean Theroem

a^2+ b^2= c^2

The legs are A and B

The side that is directly across from the Right angle is C

12^2 + 16^2 =C^2

144+256=400

400 = c^2

Square root on both sides to get rid of c^2

The square root of 400 is 20

c=20

Liula [17]3 years ago
6 0

Answer:

20 feet

Step-by-step explanation:

c =  (a² + b²)

c=  (12^2 + 16^2)

c= square root (400)

c= 20

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4 years ago
chegg Find an equation of the plane. the plane through the point (5, 2, 4) and with normal vector 8i 3j 4k
monitta

The equation of the plane are-

  • In cartesian form; 8x + 3y + 4z = 62
  • In vector form; r(8i + 3j + 4z ) = 62
<h3>What is plane in 3-Dimension plane?</h3>

A three dimensional plane or 3d plane contains three axes which intersect at the origin. The three axes, namely x-axis, y-axis and z-axis are mutually perpendicular to each other. Thus, a 3d plane is called a hyperplane. The points in the 3d plane are of the form (x, y, z).

According to the question.

The plane through the point (5, 2, 4).

The normal vector 8i + 3j + 4k

Equation of plane traveling through a given position vector and having the specified normal vector is expressed as:

8(x-5) + 3(y-2) + 4(z-4) =0

8x - 40 + 3y - 6 + 4z - 16 = 0

8x + 3y + 4z - 62 = 0

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Equation of plane in vector form is;

r(8i + 3j + 4z ) = 62

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