To get volume for a sphere is V= 4/3 pi radius ^3
so plug 6 in for radius and 3.14 for pi
you multiply it out to get
V=904.78
The vertex is at (2, 5).
To find the vertex, we first find the axis of symmetry; this is given by
x = -b/2a
For our equation, b = -16 and a = 4:
x = -(-16)/2(4) = 16/8 = 2
We substitute this back into our equation:
y = 4(2)² - 16(2) + 21 = 4(4) - 32 + 21 = 5
Therefore the vertex is at (2, 5).
The probability of not drawing a black marble is 4/5
The probability of drawing a red marble is 3/10
<h3>What are the probabilities?</h3>
Probability determines the odds of the occurrence of a random event. The probability the event occurs is 1 and the probability that the event does not occur is 0.
Probability of not drawing a black marble = total marbles that are not black / total number of marbles
(5 + 3) / (5 + 3 + 2) = 8/10 = 4/5
The probability of drawing a red marble = total number of red marbles / total number of marbles
= 3/10
To learn more about probability, please check: brainly.com/question/13234031
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The geometric mean is defined as the nth root of the product of n numbers.
This means, you multiply all the numbers together
5×8=40
And then you take the nth root of that number. In this case, it's the square root, but if there were more numbers, like three or four, it would be the cube and fourth root, respectively.
√40 = 6.32455532
So, the geometric mean of 5 and 8 is 6.32455532
Answer:
A, B, and C
Step-by-step explanation:
The equilateral triangle refers to its equivalent sides and angles. So automatically, D would be ruled out.
Equilateral triangles have the same angles, so that would rule out E, because one 90° angle means it is a right triangle. Based on the explanation above, the answer would be A and B. C can be confusing but here's the explanation:
A triangle's sum of interior angles is 180°, so if a triangle has three sides, it also has three angles. So if you divide 180 into 3 equal parts, you get 60° each. So technically C is correct.
Answers: A, B, and C.
