Volume of the sphere: [4/3]π (r^3) = [4/3]π(5a)^3 = [4/3]π*125a^3 =
Volume of the cone: [1/3]π(r^2)H = [1/3]π(3a)^2 * H = 3πa^2 * H
Volumen of the sphere = Volumen of the cone =>
[4/3]π*125a^3 = 3πa^2 * H => H = [500/9]a = 55.55 a
Answer:
D. infinitely many solutions
Step-by-step explanation:
to find how many solutions the equation have, we can solve it
here's the given equation:
2(2x-3)+6=4x
our goal is to isolate the variable onto one side
do the distributive property shown in the equation (multiply both 2x and -3 by 2)
4x-6+6=4x
combine like terms (add -6 and 6)
4x=4x
subtract 4x from both sides, as we still have the variable on both sides
0=0
0 is always equal to 0; that's an identity
if we get to a point in an equation where we get an identity as the answer (ex. 3=3 or in this case, 0=0), the answer is all real numbers, or infinitely many solutions
Cosine = adjacent/hypothenuse
Adjacent = angle between the right angle and C
Adjacent = 21
Hypothenuse = longest side
Hypothenuse = 35
Solution: 21/35