1. X=2+1/2y+1/2z
2. X=-1+2y+z
3. X=16/3-1/3y-1/3z
Answer:1,200
Step-by-step explanation:
Answer:
{2, 3, √13}
Step-by-step explanation:
In a right triangle, the sum of the squares of the two shorter sides equals the square of the third side (Pythagoras).
Let's check each set of sides in turn.
A. {2, 3, √13}
2² + 3² = 4 + 9 = 13
(√13)² = 13
This is a right triangle.
B. {5, 5, 2, √10}
This is a quadrilateral (four sides).
C. {5, 12, 15}
5² + 12² = 25 +144 = 169
15² = 225
This is not a right triangle.
Answer:
Note: The expression "h =300- pi r /pi r" would equate to 299, as written. I find h = (300 - π
)/πr to be the equation for height.
Step-by-step explanation:
The total surface area of a sylinder is 2πr(h+r) where h is the height and r is the radius. That consists of top and bottom disks, each with an area of π
, for a total of 2π
. The side is a continous sheet that has an area of 2πrh, where h is the height. 2πr is the circumference of the can, so the surface area of the side is 2πrh.
The total surace area of a closed cylinder is therefore 2π
+ 2πrh.
2π
+ 2πrh = 600
π
+ πrh = 300
πrh = 300 - π
h = (300 - π
)/πr
Answer:
¾ miles
Step-by-step explanation:
⅓ : ¼ mile
1 : X
X = ¾