Answer:
2 1/2
Step-by-step explanation:
You divide and there are 2 two’s that can go into 5 with a remainder of 1
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:
1/10 as a fraction or if you want it as a decimal it would be 0.1
step-by-step explanation:
-4(x-4)- 3=12+6x after seeing you multiply -4 by x and -4
and you would get
-4x+0-3=12+6x and then you distribute all the way and you would get
1/10 or if you dont want a fraction and want a decimal is would be 0.1
From that equation we know the center is: (1,-1) and the radius is three. Since the distance from the center to (0,0) is:
d^2=1^2+1^2
d^2=2
d=√2
Since d<r, √2<3, the circle intersects the y-axis two times.
So the statement saying that the circle intersects the y-axis is true.
