3 years ago

In how many ways can the eight rooks be placed on an 8-by-8 chessboard so that no two rooks can attack one another?

Mathematics

1 answer:

saul85 [17]3 years ago

7 0

You have a total of (8!)^2/8! and that gets you. 40,320

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Two cities are 252 miles apart. How far are the two cities from one another on a map with a scale of 1/4 inches: 18 miles?

tekilochka [14]

Answer:

3.5 inches

Step-by-step explanation:

create a proportion:

inches / miles = inches / miles

let 'x' = distance in inches

1/4 = x

18 252

18x = 252(1/4)

18x = 63

x = 63 / 18

x = 3.5

5 0

3 years ago

Find a coterminous angle between 0 and 2 pi for each given angle. 191pi/45

Sedaia [141]

Check the picture below.

let's recall that 2π is a full go-around or namely a revolution

$\bf \cfrac{191}{45}\implies \cfrac{45+45+45+45+11}{45}\implies \cfrac{45}{45}+\cfrac{45}{45}+\cfrac{45}{45}+\cfrac{45}{45}+\cfrac{11}{45} \\\\\\ 1+1+1+1+\cfrac{11}{45}\implies \stackrel{\textit{and this more}}{\underset{\textit{2 go-around}}{\underset{\uparrow }{2+2}+\stackrel{\downarrow }{\cfrac{11}{45}}}}$