Sebastian used the table and correctly identified that the data does not represent a logarithmic function. What information did
Sebastian use in his deduction? A. The table does not show a vertical asymptote. B. The table shows two y- intercepts and it changes from increasing to decreasing. C. The table shows one x- intercept and one y- intercept. D. The table shows two x- intercepts and it changes from increasing to decreasing.
The graph
X. Y
1. -5
2. 0
4. 4
5. 3
7. -5
Please answer quickly
The graph
X. Y
1. -5
2. 0
4. 4
5. 3
7. -5
Please answer quickly
2 answers:
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We have been given that and angle A is in quadrant 1. We are asked to find the exact value of
in simplest radical form.
We know that sine relates opposite side of right triangle with hypotenuse.
This means that opposite side is 12 units and hypotenuse is 13 units.
We know that cotangent relates adjacent side of right triangle with adjacent side.
Now we will find adjacent side using Pythagoras theorem as:
Let us take positive square root on both sides:
Therefore, adjacent side of angle A is 5 units.
Therefore, the exact value of cot A is .
Answer:
31.4 in³
Step-by-step explanation:
The box is just big enough to hold the 3 balls, so it must have a length 6 times the radius of each ball, a width 2 times the radius, and a height 2 times the radius.
The volume of the box is:
V = (6r)(2r)(2r)
V = 24r³
The volume of the 3 balls is:
V = 3 (4/3 π r³)
V = 4πr³
So the volume of the air is:
V = 24r³ − 4πr³
V = (24 − 4π) r³
Since r = 1.4 inches:
V = (24 − 4π) (1.4 in)³
V ≈ 31.4 in³
