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To convert

to a mixed number you have to divide 31/6 which equals 5 R 1 Remember that the remainder is the numerator and the whole number is 5. So, the mixed fraction is

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Answer:
15 units
Step-by-step explanation:
ΔABC is right with ∠C = 90° and AB the hypotenuse
using Pythagoras' identity on the triangle
AB² = AC² + BC² , hence
BC² = AB² - AC² = 17² - 8² = 289 - 64 = 225
⇒BC =
= 15 units
Answer:
The coach can choose a lineup of 11 players in 6,047,981,701,347 different ways.
Step-by-step explanation:
Since the varsity soccer team has 20 players, and three of the players are trained to be goalies while the remaining 17 can play any position, and only 11 players can be on the field at once, and the coach wants to make sure there is exactly one goalie on the field, to determine how many ways can the coach choose a lineup of 11 players if exactly 1 player must be a goalie the following calculation has to be made:
3 x 17 ^ 10 = X
3 x 2,015,993,900,449 = X
6,047,981,701,347 = X
Therefore, the coach can choose a lineup of 11 players in 6,047,981,701,347 different ways.
Answer:
540
Step-by-step explanation:
If you have five sides on a polygon, all the angles will add up to 540°
The answer is C because (change on y)/(change in x) = (+ or -5)/ 0