Answer:
As shown in picture:
A(-4, 1)
Z(-2, 3)
P(3, -4)
The length of AZ is calculated by:
L = sqrt((-4 - -2)^2 + (1 - 3)^2) = 2.83
The length of AP is calculated by:
L = sqrt((3 - -4)^2 + (-4 - 1)^2) = 8.60
THe length of ZP is calculated by:
L = sqrt((3 - -2)^2 + (-4 - 3)^2) = 8.60
=>Perimeter of triangle AZP is calculated by:
P = AZ + AP + ZP = 2.83 + 8.60 + 8.60 = 20.3
Hope this helps!
:)
This is the concept of areas of solid materials; the surface area of the cylinder whose radius is 2.5 cm and lateral area is 20 pi cm^2 will be: Surface area of cylinder is given by:
SA=(area of cyclic sides)+(lateral area)
SA=2πr^2+πrl
Area of the cyclic sides will be:
Area=2πr^2
=2*π*2.5^2
=12.5π cm^2
The lateral area is given by:
Area=20π cm^2
Therefore the surface area of cylinder will be:
SA=(12.5π+20π) cm^2
SA=32.5π cm^2
The answer is 32.5π cm^2
I believe it is B. I could be wrong but I am hoping that you get it right
543,000.1
543,000.2
any decimal
The events are independent...because after the first pick, the card was replaced...that means the second pick has the same sample space. In other words, the first pick is not gonna affect the 2nd pick
8 football, 2 basketball...total of 10
P(1st pick is football) = 8/10 which reduces to 4/5
replace
P(2nd pick is basketball) = 2/10 which reduces to 1/5
P (both) = 4/5 * 1/5 = 4/25 = 0.16 <==
