Answer:
No solution.
Step-by-step explanation:
The equation 2x + 8 = 2(x + 5) has no solution as we see if we simplify it:
2x + 8 = 2x + 10
2x - 2x = 10 -8
0 = 2 which is absurd.
Answer:
600
Step-by-step explanation:
because 60x10=600
Answer:
no
Step-by-step explanation:
Step-by-step explanation:
A sequence is an ordered list of numbers.
lim n → ∞ an = 8 means that as n approaches infinity (becomes large), an approaches 8.
lim n → ∞ an = ∞ means that as n approaches infinity (becomes large), an approaches infinity (becomes large).
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 + 10
r
r² + 10
r - 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)