Answer:
1/2
Step-by-step explanation:
So do this, think of an equilateral triangle. A 30-60-90 triangle is just half of an equilateral triangle. If the original side length was x, then the hypotenuse is x, one leg is x/2, and the third, by Pythagorean theorem, is x sqrt3
Sin is opposite over hypotenuse, so we have (x/2)/x = 1/2
Answer:
He used 17/3 feet = 5 and 2/3 feet
Step-by-step explanation:
∵ He bought 9 and 1/3 feet = 28/3 feet
∵ He had 3 and 2/3 feet left = 11/3 feet
∴ He used = 28/3 - 11/3 = 17/3 feet = 5 and 2/3 feet
Answer:
A = 1/2(b×h)
Step-by-step explanation:
Area = 1/2(base×height)
<span>3x2− 5x + 5 = 0.
a=3 b=-5 c=5
A. a = 3, b = 5, c = 5
B. a = 3, b = −5, c = 5
C. a = 5, b = −5, c = 0
D. a = −3, b = 5, c = −5
answer is B
</span>
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.