Answer:
The length would be 5 meters
Step-by-step explanation:
To get this value, start with the area formula.
A = LW
Next input the known values for area and width
1 = L1/5
Now multiply each side by 5
5 = L
Answer:
x^2+y^2+z^2-10x-6y-10z +50 =0
Step-by-step explanation:
Given that a sphere is contained in the first octant
Centre of the sphere is given as (5,3,5)
Since this is contained only in the first octant radius should be at most sufficient to touch any one of the three coordinate planes
When it touches we can get the maximum sphere
We find that y coordinate is the minimum of 3 thus radius can be atmost 3 so that then only it can touch y =0 plane i.e. zx plane without crossing to go to the other octants.
Hence radius =3
Equation of the sphere would be

Answer:
x = 81, y = 68, z = 99
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Consider the triangle on the left, then
x = 180 - (36 + 63) = 180 - 99 = 81
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
x is an exterior angle of the triangle on the right, thus
13 + y = x , that is
13 + y = 81 ( subtract 13 from both sides )
y = 68
Consider the triangle on the right
z = 180 - (13 + y) = 180 - (13 + 68) = 180 - 81 = 99