The radius of the completed cone is
... 18×(300°/360°) = 15
The height of the completed cone is found from the Pythagorean theorem:
... 15² + h² = 18²
... h = √99 = 3√11
The volume is given by
... V = (1/3)πr²·h = (1/3)π·15²·3√11
Dividing this value by π gives 225√11 cubic units.
Answer:
A). 
B). 
Step-by-step explanation:
A). 
To get the square root of the given expression we will convert it into the square form.
[Since 2×2 = 4 and 
]
Therefore, 
B). 
Since, 
Therefore, 
[Since 3² = 9 and (m⁷)² = m¹⁴]
Answer:
A. 11
Step-by-step explanation:
11-3=9
The set does not include 9 because the sign is not underlined so 11 is not a solution.
The slope of the line has to be the same the the equation given to be parallel.
The slope of the line given is... 2/3.
If the line passes through point (1,3) then...
3=2/3(1)+b
b=2 1/3
answer: y=2/3x+2 1/3
Answer:
x=8
Step-by-step explanation:
We can use the Pythagorean theorem to solve
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
6^2 + x^2 = 10^2
36 + x^2 = 100
Subtract 36 from each side
36-36 +x^2 = 100-36
x^2 = 64
Take the square root of each side
sqrt(x^2) = sqrt(64)
x = 8
