If 0 < b ≤ 90 and cos(11b + 2) = sin(12b − 4), what is the value of b?
2 answers:
Answer:
b = 4
Step-by-step explanation:
The given expression is
Cos (11b + 2) = Sin (12b - 4)
Since, Sin(θ) = Cos(90 - θ)
Therefore, Cos (11b + 2) = Cos [90 - (12b - 4)]
Where 0 < b ≤ 90°
11b + 2 = 90 - (12b - 4)
11b + 2 = 94 - 12b
11b + 12b + 2 = 94 - 12b + 12b
11b + 12b + 2 - 2 = 94 - 2
23b = 92
b = 4
Therefore, b = 4 will be the answer.
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Answer:
y = 20/3 * x + 125/3
Question 4 : 3 hours study for score 55 (?)
Step-by-step explanation:
2 points (2, 55) (5,75) were chosen to plot the line of best fit, cuz 5 on the above and 5 below it.
y = mx + b
m = (75 - 55) / (5 - 2) = 20/3
b = y - mx = 55 - (20/3) * 2 = 125/3
Equation: y = 20/3 x + 125/3
Answer:
Y=-40x+122
Step-by-step explanation:
hello
Due to the nature of the data, it is most convenient to model this problem as a linear function.
To solve this problem we must use the equation that defines a line, then start assigning the corresponding values
y1=82bananas per day
X1=1 dolar
y2=52bananas per day
x2=1.75dolar
line ecuation
y − y 1 = m(x − x 1 )
where
solving:
Y-82=-40(x-1)
Y=-40x+40+82
Y=-40x+122
let's try the result!
Price =1dolar
Y=-40(1)+122=82bananas per day
Price=1.75dolar
Y=-40(1.75)+122=52bananas per day