Answer: Tristan can pick them out in 6 different ways
Step-by-step explanation: In the waiting room the four magazines all have an equal chance of being picked first and then others would be picked subsequently. If we are to pick magazine A first of all, then the others would be picked as B, C and D, or C, B and D, or D, B and C, and so on.
However, rather than spend so much time counting the different ways we can apply the mathematical method of permutation. Since choosing the first one means we can’t choose it again but others have to be chosen, and all four magazines each has an equal chance of being chosen first, then the number of all possible permutations is given as 4! (four factorial).
The question requires us to chose three out of the four magazines, so we shall apply 3!.
3! = 3 x 2 x 1
3! = 6
Therefore, there are 6 different ways to pick three out of the four magazines
Answer:
Inputs:
Radius (r):
0.65
or
Diameter (d):
1.3
or
Area (A):
1.327
Unit of Lenght:
centimeter
Calculate Circumference
Result:
The circumference of a circle with diameter 1.3 is 4.084(*)
Formulas:
r = 0.65
d = 1.3
C = 4.08
C = 2·π·r C = π·d C = √4·π·A π = 3.1415
A = area of the circle
C = circumference or perimeter
r = radius, d = diameter
Step-by-step Solution:
Circumference of a cicle in terms of radius:
Circumference = 2·π·r = 2·3.14·0.65 = 4.09(*)
In terms of diameter:
Circumference = π·d = 3.14·1.3 = 4.08(*)
In terms of area:
Circumference C = √4·π·A = √4·π·1.33 = 4.09(*)
(*) 4.084 cm exactly or limited to de precision of this calculator (13 decimal places).
Note: for simplicity, the operations above were rounded to 2 decimal places and π was rounded to 3.14.
A circumference of 4.084 centimeters is equal to:
4.084E-5 kilometers (km)
0.04084 meters (m)
40.84 millimeters (mm)
2.53768E-5 miles (mi)
0.0446632 yards (yd)
0.13399 feet (ft)
1.60787 inches (in)
The total area of the frame is therefore 2(4x) + 2(4)(x-8) = 8x + 8x - 64 = 16x - 64
The answer is 115.5. Let me know if you need me to explain