Answer:
The vertex is at (5,4).
Step-by-step explanation:
I graphed both of the functions on the graph below.
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This forms a right angled triangle and Ralph flies down the hypotenuse x,
so using trigonometry:-
sin 59 = 12.4 / x
x = 12.4 / sin 59
= 14.47 feet to nearest hundredth.
The answer of 18 divided by 5634 is 0.00319488817.
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Answer: 1) 5040 and 2) 165
Step-by-step explanation:
1) Here total number of letters = 10
The number of permutations that can be formed using 4 letters at a time
= P (10, 4)
= 
= 
= 
= 
= 10 × 9 × 8 × 7
= 5040
2) Here the total number of machine = 11
The different combinations of machines can Geoff choose from to use
= 
= 
= 
= 
= 11 × 5 × 3
= 165
32 (forwards) /16 (team's) =2 forwards on each team 80 (gaurds) / 16 (team's) =5 gaurds on each team