ronaldo likes to display a section of soft drinks next to the register at the lunch counter at which he works. Each day, he chooses 4 soft drinks from the 7 different soft drinks that the lunch counter sells and decides the order in which he wants to display them. For any one day, how many different arrangements of soft drinks can ronaldo display?

35 different Arrangements

Step-by-step explanation:

To solve this question, we would be using the Combination formula because is from the question, we are told that Ronaldo CHOOSES 4 soft drinks from 7 different soft drinks

Combination Formula = C(n,r) = nCr

= n!/r! (n - r)!

n = 7

r = 4

7C4 = 7!/4! (7 - 4)!

7C4 = 7!/4! 3!

7C4 = 7 × 6 × 5 × 4 × 3 × 2 × 1/(4 × 3 × 2 × 1) × (3 × 2 × 1)

7C4 = 35

Therefore, Ronaldo can display 35 different arrangements of soft drinks

step-by-step explanation:

it's is b

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47