First way
arcsin(1/4) means that 1/4 sin of the angle.
sin(α)=1/4
sin²α+cos²α=1
(1/4)²+cos²α=1
cos²α=1-1/16 =15/16
cosα=+/-(√15)/4
<span>Second way
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sin(α)=1/4 =opposite leg/hipotenuse
cos(α)=adjacent leg/hypothenuse
adjacent leg =√(hypotenuse²- Opposite²)=√(16-1)=√15
cosα=+/-√15/4
For one value of sinα, possible 2 values of cosα.
Answer:
45
Step-by-step explanation:
You do 30 divided by 2 = 15. then you do 15+30=45, and boom, there is your answer
Answer:
1. $60
2. 600 Calories were burned
3. D
Step-by-step explanation:
1. $75 x .20=$15
75-15=$60
2. What I started with is 200/40=5 calories burned per min
60 plus 60=120
5x120=600
3. It's the only option that has something decreasing. and there is a -5 which means it's getting subtracted or its decreasing.
5x+3y=12
Subtract 5x from both sides
3y=-5x+12
Divide by 3
Y=-5/3x +4
Answer:
5 pints per hour.
Step-by-step explanation:
Morning:
Given:
Number of strawberries packed in every 4 minutes = 3
∴ Number of strawberries packed in every one minute = 
So, number of strawberries packed in every 60 minutes = 
1 hour = 60 minutes.
So, strawberries are packed at a rate of 45 pints per hour in the morning.
Afternoon:
Number of strawberries packed in every 3 minutes = 2
∴ Number of strawberries packed in every one minute = 
So, number of strawberries packed in every 60 minutes = 
1 hour = 60 minutes.
So, strawberries are packed at a rate of 40 pints per hour in the afternoon.
Difference between the packing rates is given as:
Morning rate - Afternoon rate = 45 - 40 = 5 pints per hour.
So, she packed 5 more pints in one hour in the morning than in the afternoon.