Answer:
12075
Step-by-step explanation:
35 x 345 = 12075
Octagon - 135 degrees
Decagon - 144 degrees
135 / 144 * 100% = 93.75%
Therefore it is 6.25% less
source 1728.com/polygon.htm
Answer:
B. Graph B
Step-by-step explanation:
I calculated it logically
Answer:
IJ = 34
Step-by-step explanation:
Since HK = JK, then IK is a perpendicular bisector and Δ is isosceles, then
IJ = HI , that is
2s = s + 17 ( subtract s from both sides )
s = 17
Then
IJ = 2s = 2 × 17 = 34
The probability that the divisor chosen is a perfect square is found to be 1/22 which is m:n.
<h3>What exactly is meant by probability?</h3>
- Probability is synonymous with possibility. It is a mathematical branch that deals with the occurrence of a random event.
- The value ranges from zero to one. Probability has been introduced in mathematics to predict the likelihood of events occurring.
Given: Randomly, a positive integer divisor of 12! is selected.
Prime factorization of 12! = 2¹⁰ × 3⁵ × 5² × 7¹ × 11
Total divisors of 12! = 11 × 6 × 3 × 2 × 2
- Each number in the prime factorization must have an even exponent in order to construct a perfect square divisor.
- In the prime factorization, the divisor cannot have any factors of 7 and 11 because there is only one of each in 12!.
- There are 6 × 3 × 2 perfect squares as a result.
The probability that the divisor chosen is a perfect square is given as:
(6 × 3 × 2)/(11 × 6 × 3 × 2 × 2)
= 1/22
=m/n
Therefore, the probability that the divisor chosen is a perfect square is found to be 1/22 which is m:n.
Learn more about probability here:
brainly.com/question/24756209
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