The triangle formed from the height of the cone and the radius of its base is a special 3,4,5 triangle. The slant height is 5cm.
Recall that the area of a circle = pi*r^2
Substitute 3 in for r
Area = pi * (3)^2 = 9pi
SA = pi*r*l + B
Substitute our values into the equation
SA = pi * 3 * 5 + 9pi
SA = 15pi + 9pi
SA = 24pi cm^2
Ok, so here, we need to use the slope formula which is:
(y2 - y1)/(x2-x1)
y2 = 9
y1 = 5
x2 = x
x1 = 10
So:
(9-5)/(x-10) = -2
Now, we just solve for x,
9-5 = -2(x-10)
4 = -2x+20
2x = 16
x = 8
The answer is 24, 26, and 28
The first one is 0.97 the second one is 6
Answer:
<h2>A. The series CONVERGES</h2>
Step-by-step explanation:
If 
is a series, for the series to converge/diverge according to ratio test, the following conditions must be met.
If 
< 1, the series converges absolutely
If 
, the series diverges
If 
, the test fails.
Given the series 
To test for convergence or divergence using ratio test, we will use the condition above.
aₙ₊₁/aₙ =
note that any constant dividing infinity is equal to zero
Since The limit of the sequence given is less than 1, hence the series converges.
