The distance AB measures 185.77 feet.
Step-by-step explanation:
According to the attached figure, in triangle ABC,
∠B = 103.2°, ∠C = 14.4° and side BC = 661 feet.
We need to calculate AB's measure.
Since ∠A + ∠B + ∠C = 180°
∠A + 103.2 + 14.4 = 180
∠A + 117.6 = 180
∠A = 180 - 117.6
= 62.4°
Utilizing the sine rule in the triangle ABC,
AB =
= 185.77 feet.
Thus, AB = 185.77 feet is the solution.
Complete question:
Benjamin treats himself to breakfast at his go-to restaurant. He orders chocolate milk priced at \$3.25$3.25dollar sign, 3, point, 25. Next, he aims to purchase as many pancake stacks as possible while keeping his total at or below \$30$30dollar sign, 30 prior to tax. Pancakes are sold in stacks of 4 at \$5.50$5.50dollar sign, 5, point, 50. Let SSS denote the number of pancake stacks purchased by Benjamin. 1) What inequality represents this situation?
Answer:
Refer to the explanation below.
Step-by-step explanation:
Information provided:
Chocolate milk costs = $3.25
Price of pancake stack = $5.50 (for 4 pancakes)
Pancake stacks bought = S
Maximum spending ≤ $30
Chocolate milk cost + (Cost per pancake stack × number of stacks) ≤ $30
3.25 + 5.50S ≤ 30
5.50S ≤ 30 - 3.25
5.50S ≤ 26.75
S ≤ 26.75 / 5.50
S ≤ 4.86
Therefore, the maximum number of pancake stacks he can buy without going over budget is 4.
Thus, total pancakes = stacks × pancakes per stack
= 4 × 4
= 16
For Mia's calculations, she should use y first because y signifies 22, while x indicates 4 dollars earned weekly.
Assuming a maximum rental duration of 8 days, if we apply this to the equation, Happy Harry's Rentals costs $500, while Smilin' Sam's charges $600. Therefore, for the 7th and 8th days, Happy Harry's Rentals is a better option, while Smilin' Sam's is preferable for the first six days.
Kayla's opportunity cost for attending the movie is $9.50
Tara's total expense for watching the movie amounts to $50.50
