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)
<span>233.356
=2.3*10^2
now second one is
</span><span>1.005
</span>=1.0
Answer:
Three or more points that lie on the same line are collinear points .
Step-by-step explanation:
Answer:
The value of y when x = 90
y = 22.5
Step-by-step explanation:
<u><em>Step(i)</em></u>:-
The value of y is directly proportional to the value of x.
Y∝ X
y = k x
If y = 45 when x = 180
45 = k ( 180)

<u><em>Step(ii):</em></u>-
The value of y when x = 90
y = 0.25 × 90 = 22.5
y = 22.5
Answer:
Last choice that shows points on +4 and -4 is the correct graph.
Step-by-step explanation:
We have been given equation
. Now we need to find out which of the given number lines shows the corret solution set for
.
We know that
can be broken into two parts as:
and 
Same way we can break
into two parts as:
and 
Hence last choice that shows points on +4 and -4 is the correct graph.