Answer:
-0.9231
Step-by-step explanation:
Given cos theta = 0.3846 within the range 3π/2<theta<2π
Costheta = 0.3846
Theta = arccos(0.3846)
Theta = 67.38°
Since 67.38° didn't fall within the range of theta, we will locate our theta using the quadrant.
Since cos is positive in the 4th quadrant,
Theta = 360-67.38°
Theta = 292.62°
Sin(theta) = sin(292.62°)
= -0.9231
Let x represent the number of pounds of vegetables.
so the equations is
2x + 3.50 < 10
so solve for x
2x < 10-3.50
2x < 6.50
x < 3.25
she could buy 3.25 lbs and spend no more than 10 dollars
Answer:
28.8
Step-by-step explanation:
Answer:
Our score = 0.60, Amanda's score = 0.25
Step-by-step explanation:
For Amanda
μ = 15 , σ = 4
z- score for X = 16 is (From z table)
z = (X - μ)/σ = (16 - 15)/4 = 0.25
For us
μ = 310 , σ = 25
z score for X = 325 (From z table)
z = (325-310)/25 = 0.60
Since our z score is better than Amanda's z score, we can say we did better