Volume = (4/3) * PI * radius^3
80 * PI = (4/3) * PI * radius^3
The 'PI's' cancel out leaving
80 = (4/3) * radius^3
radius^3 = 80/(4/3)
radius^3 = 60
radius = cube root (60)
Answer:
A and C are correct.
Step-by-step explanation:
A: 15 + 26 is greater than 41 so it will form a triangle
B: 15 + 36 is not equal to 41 so it will not form a triangle
C: 15 squared + 36 squared = 1,521
41 squared = 1,681
Since a squared + b squared not-equals c squared, it will not be a right
triangle.
D: 15 squared + 36 squared = 297
41 squared = 82
A is correct because any 2 sides of a triangle must be greater than the third.
B is incorrect because it cannot equal the third side, but must be greater than.
C is correct because in a right triangle, the sum of the square of the legs must be equal to the square of the hypoteneuse.
D just does not make sense.
Step-by-step explanation:
a=2
b=-7
c=-15
-(-7)+-sq root (-7)²-4(2)(-15) / 2(2)
7 +- sq root 169 / 4
7+- 13 / 4
7+13 / 4, 7-13 / 4
x=5 x=-3/2
