Answer:
192.92 ft^3
Step-by-step explanation:
volume of a cone = 
πr²h
π = 3.14
r = radius ]
h = height
the base of a cone is in the shape of a circle. thus, the circumference of the base is equal to the circumference of a circle
circumference of a circle= 2πr
30.144 = 2 x 3.14 x r
r = 30.144 / 6.28
r = 4.8
Volume = 1/3 x 3.14 x 4.8² x 8 = 192.92 ft^3
Answer:
b
c
Step-by-step explanation:
First question: x - 6 means there is a shift to the right.
Second Question: substitute the given values into the original equation for appropriate transformations.
Answer: 3 |x-4| + 2, because vertical stretch multiplies x, horizontal shifts are subtracted or added to x, and vertical shifts are added or subtracted to the entire function.
Answer:
Part I: cot(15 degrees) = cot(45 - 30)
Part II: Evaluation is below
Step-by-step explanation:
<em>Everything is done in degrees</em>
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Two angles that differ by 15 degrees that is easy to evaluate is 30 degrees and 45 degrees. The cot(15 degrees) = cot(45 - 30) = 1/tan(45-30) = (1+tan45tan30)/(tan30 - tan45) = (1+ sqrt(3))/(sqrt(3) - 1)
We rationalize this by multiplying 1+ sqrt(3) in the top and bottom, getting:
(4 + 2sqrt(3))/2 = 2 + sqrt(3)
I hope this helps! :)
B imakes the most sense so I agree it is b
An angle is denoted by the angle symbol ∠ and the three letters representing the name of the angle.
An angle is denoted by the angle symbol ∠ which is then being followed by three letters that will represent the points that form an angle.
Lets say for example, the expression ∠ABC will mean that “the angle is formed by the points A, B and C”
where the vertex of the angle is at the point B as it is in the middle.
Angles can also be of different types like:
An Acute Angle which means an angle is less than 90 degrees.
A Right Angle which means an angle which is exactly 90 degrees.
An Obtuse Angle which is an angle more than 90 degrees and less than 180 degrees.
A Straight Angle which is an angle that is exactly 180 degrees.
And a Reflex Angle which is an angle greater than 180 degrees and less than 360 degrees.
Therefore, an angle is denoted by the angle symbol ∠ and the three letters representing the name of the angle.
Learn more about angles here:
brainly.com/question/25716982
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