Answer:
4pi in^2
Step-by-step explanation:
Lateral surface area of a cylinder = 2πrh
π = pi
r = radius
h = height
Let me illustrate with an example
A cylinder has the following dimensions
r = radius = 20
h = height = 10
lateral area = 2 x π x 20 x 10 = 400π
If dimensions are reduced to one-fifth their original length, new dimensions are
r = radius = 20 x 1/5 = 4
h = height = 10 x 1/5 = 2
New lateral area = 2 x 4 x 2 x π = 16π
change in lateral area = 400π / 16π = 25
If dimensions are reduced by 1/5, lateral area would reduce by 25
100 pi / 25 = 4
1.2 is the slope of the line graphed in the given diagram
<u>Step-by-step explanation:</u>
We can use the given points (0, 3) and (-2.5, 0) to solve.
Slope formula is given by
Given two intercepts:
By substituting these in the slope equation, we get
When you roll and even number, the probability of winning is 3/6 or 1/2.
When you want to draw a heart:
The sample space is 12. That is 3 faces and 4 suits. There are 4 hearts in this deck. The probability you get a heart is 4/12 or 1/3.
When you want to toss a tail:
Sample<span> space is 2, hea</span>d and tail. You do not win if you get a heads. The probability is 1/2. The probability of winning is 1/2 * 1/3 * 1/2 = 1/12 Then the probability of losing is 1-1/12 = 11/12
Answer:
5
Step-by-step explanation:
To write it in standard form, we set the equation equal to 0. To do this, we add 6 to each side:
-6+6 = x² + 4x - 1 + 6
0 = x² + 4x + 5
The related function is
y = x² + 4x + 5
The value of c in this function is 5.