Answer:
169.04 in² (nearest hundredth)
Step-by-step explanation:
Surface area of a cone = 
r² + r
(where r = radius of the base and = slant height)
Given slant height = 10 and surface area = 188.5
Surface area = r² + r
188.5 = r² + 10r
r² + 10r - 188.5 = 0
r = 
= 4.219621117...
Volume of a cone = (1/3)r²h
(where r = radius of the base and h = height)
We need to find an expression for h in terms of using Pythagoras' Theorem a² + b² = c², where a = radius, b = height and c = slant height
r² + h² = ²
h² = ² - r²
h = √(² - r²)
Therefore, substituting found expression for h:
volume of a cone = (1/3)r²√(² - r²)
Given slant height = 10 and r = 4.219621117...
volume = 169.0431969... = 169.04 in² (nearest hundredth)
Answer:
Raymond's mistake was on the last step, since he didn't square root both sides
The correct answer should be
Step-by-step explanation:
Good luck!
So 20% of 30 is 6
30% * 30 is 9
Alexa completed 6 of 30 questions
Brent completed 9 of 30 questions
Brent completed 3 more questions than Alexa
Hope this helps :)
Answer:
9/4
Step-by-step explanation:
5×|-2-7(3)|-2×17
5×|-2-21|-34
5×|-23|-34
5×23-34
115-34=81
22+sq rt(7×28) 28=4×7 sq rt= 2×2×7×7
22+2×7=22+14=36
81÷9/36÷9=9/4
Answer:
2.83
Step-by-step explanation:
d= Square root of (x2 - x1 )^2 +( y2- y1)^2
from the point given you
x1= -6
y1 = -17
x2 = -8
y2 = -19
by applying the formula
Square root of ( -8 - (-6))^2 + ( -19 - (-17))^2
Square root of (-8+6) + (-19+17)^2
