Answer:
A
Step-by-step explanation:
side opposite to smallest angle is smallest=1
Hypotenuse=2
sin 30=1/2
Answer:
The probability model is
= P(A or B)
Step-by-step explanation:
a) Data and Calculations:
Estimated revenue if the day is sunny = $3,000
Estimated loss if the day is rainy = $600
The probability of rain = 30%
Therefore, the probability of sunshine = 70% (100 - 30)
The probability model is based on the probability of rain or sunshine
= P(A or B)
= A*70% - B*30%
The outcome from either rain or sunshine
= ($3,000 * 70%) -($600 * 30%)
= $2,100 - $180
= $1,920
The answer is A since: 3^2+4^2=5^2
25=25
Two positive integers have gcd (a, b) = 15 and lcm (a, b) = 90. Those two numbers are 15 and 90 or 30 and 45.
Suppose we have 2 positive integers, a and b, then:
gcd (a, b) = the greatest common divisor = common prime factors of a and b
lcm (a, b) = the least common multiple = multiplication of the greatest common prime factors of a and b
In the given problem:
gcd (a, b) = 15
prime factorization of 15:
15 = 3 x 5
Hence,
a = 3 x 5 x ....
b = 3 x 5 x ....
lcm (a, b) = 90
prime factorization of 90:
90 = 3 x 5 x 2 x 3
Therefore the possible pairs of a and b are:
Combination 1:
a = 3 x 5 = 15
b = 3 x 5 x 2 x 3 = 90
Combination 2:
a = 3 x 5 x 2 = 30
b = 3 x 5 x 3 = 35
We can conclude the two integers are 15 and 90 or 30 and 45.
Learn more about gcd here:
brainly.com/question/16969353
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