1. The perimeter of the square is 32 units, means each side is 32/4=8 units.
rotating the square about line k forms a cylinder with base radius equal to 8 units, and height equal to 8 units. (check the first picture)
the circumference of the base is C=2πR=16π units=16*3.14 units = 50.24 units.
Answer: <span>a cylinder with a circumference of about 50 units
2.
Rotating the equilateral triangle around line a, produces a cone with base radius equal to half of one side of the triangle, that is r=10mm.
(check picture 2)
The circumference is </span>C = 2πr=<span>C = 2*3.14*10=62.8 mm
Answer: </span><span>a cone with a base circumference of about 63 mm</span>
Answer: 25/676
Step-by-step explanation:
Number of possible outcomes = 26
In other to win, one must draw must be either (A, E, I, O or U)
Therefore required drws to win = 5
First draw:
P(win) = Total required outcome / Total possible outcome
P(win) = 5/26
Second draw:
P(win) = Total required outcome / Total possible outcome
P(win) = 5/26
Therefore,
P(winning twice) = (5/26) × (5/26) = 25/676
Answer:
{PP, PR, RP, RR}
Step-by-step explanation:
Given that:
Passenger vehicle = P
Recreational vehicle = R
For each of the next two vehicles :
Sample space :
_____ P ______ R
P ___ PP _____ PR
R ___ RP _____ RR
{PP, PR, RP, RR}
B.) Tree diagram can be found in attached picture
7x - 1 + 6x - 1 = 180
13x - 2 = 180
13x = 182
x = 14
<h3>Given</h3>
<h3>Find</h3>
<h3>Solution</h3>
It can be convenient to rewrite f(x) as a square, then do the substitution. That way, the algebra is simplified a little bit.
... f(x) = (x +1)²
... f((2a-3)/5) = ((2a-3)/5 +1)² = ((2a -3 +5)/5)²
... = (2/5(a+1))²
... f((2a-3)/5) = (4/25)(a² +2a +1)