We must find UNIQUE combinations because choosing a,b,c,d... is the same as d,c,b,a...etc. For this type of problem you use the "n choose k" formula...
n!/(k!(n-k)!), n=total number of choices available, k=number of choices made..
In this case:
20!/(10!(20-10)!)
20!/(10!*10!)
184756
Answer:
55
Step-by-step explanation:
Answer: So, the coterminal angle of 450° is -90°.
Step-by-step explanation:(i) 395°
Write 395° in terms of 360°.
395° = 360° + 35°
So, the coterminal angle of 395° is 35◦
(ii) 525°
Write 525° in terms of 360°.
525° = 360° + 165°
So, the coterminal angle of 525° is 165°.
(iii) 1150°
Write 1150° in terms of 360°.
1150° = 3(360°) + 70°
So, the coterminal angle of 1150° is 70°.
(iv) -270°
Write -270° in terms of 360°.
-270° = -360° + 90°
So, the coterminal angle of 270° is 90°.
(v) -450°
Write -450° in terms of 360°.
-450° = -360° - 90°
So, the coterminal angle of 450° is -90°.
<h3><u>An inequality to show how much he might spend on souvenirs and snacks is:</u></h3>
<h3><u>Solution:</u></h3>
Given that,
Gabe went to the amusement park with $40 to spend
His ticket cost $26.50
Therefore,
Total amount she has = $ 40
Ticket cost = $ 26.50
Let "x" be the amount he might spend on souvenirs and snacks
Therefore,
Remaining amount = 40 - 26.50
Remaining amount = 13.5
Thus she can spend less than or equal to $ 13.5 on souvenirs and snacks
Which is represented in inequality as:
Thus the inequality is found
37 and 1 / 4 = 37 * 6 = 74 * 3 = 222
