Answer:
12
Step-by-step explanation:
Given
with reference angle 45°
hypotenuse (h) = x
perpendicular (p) = 6√2
Now
with reference angle 45°
sin 45° = p / h
1 / √2 = 6√2 / x
Cross multiply ✖
6√2 * √2 = x
x = 6 * 2
x = 12
Answer:
Drinks = 6.75
Popcorn= 1
Step-by-step explanation:
Let the popcorn = P
Let the drink = D
2*P + 3*D = 22.25 multiply this equation by 6
12*P + 4D = 39.00
<u>12P + 18D = 133.5</u> Subtract these two equations
- 14D = - 94.50 Divide by -14
-14D/-14 = -94.5/-14 Do the division
D = 6.75
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12P + 4D = 39 Substitute for D
12P + 4*6.75 = 39 Combine
12P + 27 = 39 Subtract 27 from both sides
12P + 27-27=39-27 Collect like terms
12P = 12 Divide by 12
12P/12 = 12/12
P = 1 Answer
