Answer:
40.2
Step-by-step explanation:
law of cosines
x^2=40^2+28^2-2*28*40*cos(70)
put in calculator and square root the answer
40.222.... is approximately 40.2
Answer:
5/3
Step-by-step explanation:
Trigonometric ratio
Cot θ = Adjacent side/Opposite side
It is given that,
Cot θ = 4/3
Adjacent side = 4
Opposite side = 3
Csc θ = Hypotenuse/Opposite side
To find the Hypotenuse
Hypotenuse² = Opposite side² + Adjacent side ² = 3²+ 4²
Hypotenuse = √(3²+ 4²) = 5
To find Csc θ
Csc θ = Hypotenuse/Opposite side = 5/3
Answer:
The probability that X is less than 32 minutes is 0.736.
Step-by-step explanation:
Given : The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift. If X has an average value of 24 minutes.
To find : What is the probability that X is less than 32 minutes?
Solution :
If X has an average value of 24 minutes.
i.e. 
The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift.
The exponentially function is 
The function form according to question is

The probability that X is less than 32 minutes is



Therefore, the probability that X is less than 32 minutes is 0.736.
Answer:
49.132 m²
Step-by-step explanation:
Area of a triangle=1/2(base×height)
Area=1/2(6×8)
Area=24 m²
Now
Area of semi circle=πr²/2
Area=(3.14)(8÷2)²/2
Area=(3.14)(4)²/2
Area=(3.14)(16)/2
Area=50.265/2
Area=25.132 m²
Now
Total area=area of triangle+semi-circle
Total area=24+25.132
Total area=49.132 m²
16 gal... 480 mi
1 gal... 480/16 = 30 mi
9 gal.. 30*9 = 270 mi