Find the Lowest Common Multiple (LCM) to determine the least common denominator 2/3, 5/6, and 9/4.
2 answers:
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Answer:
9) 6.3 units
11) n=6√2 and m=12,
10) m=6√3, n=6
12) 330.6 ft
Step-by-step explanation:
1) The Pythagoras Theorem says that, the square of the hypotenuse is the sum of the squares of the two shorter legs.
Let the missing side, which is the hypotenuse be x.
Then
The missing side is 6.3 units to the nearest tenth.
2) This is an isosceles right triangle.
This implies that, the two legs are equal.
The hypotenuse can be found using Pythagoras Theorem.
3) The side lengths of 30°-60°-90° are in the ratio, 2x,x√3,x
From the diagram, the hypotenuse is 12, therefore the other two legs are
and
4) The height of the monument is 115 feet, the hypotenuse is 350.
By Pythagoras Theorem,
Using the Fundamental Counting Theorem, there are 400 ways to see a movie, have a drink and choose a type of candy.
<h3>What is the Fundamental Counting Theorem?</h3>It is a theorem that states that if there are n things, each with ways to be done, each thing independent of the other, the number of ways they can be done is:
Considering the number of movies, drinks and candies, the parameters are given as follows:
Hence the number of ways is given by:
N = 10 x 5 x 8 = 400.
There are 400 ways to see a movie, have a drink and choose a type of candy.
More can be learned about the Fundamental Counting Theorem at brainly.com/question/24314866
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