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QUESTION 1.
The factors of 54 are all natural numbers that can divide 54 exactly.
The factors of 54 are: {1,2,3,6,9,18,27,54}
QUESTION 2
The prime factors of 54 are factors of 54 that are prime numbers.
The prime factors of 54 are {2,3}.
Product of prime factors of 54 is
QUESTION 3
All the factors of 60 are all positive integers that divide exactly into 60.
The factors of 60 are {1,2,3,4,5,6,10,12,15,20,30,60}
QUESTION 4
The prime factors of 60 are factors of 60 that are prime numbers.
The prime factors of 60 are {2,3,5}
The prime factorization of 60 is .
QUESTION 5
The factors of 30 are {1,2,3,5,6,10,15,30}
The different ways she can put the beads into the boxes are
,
All 30 beads into one box or 1 bead in 30 boxes.
,
2 beads each into 15 boxes or 15 beads each into 2 boxes
,
3 beads each into 10 boxes or 10 beads each into 3 boxes
,
6 beads each into 5 boxes or 5 beads each into 6 boxes
ANSWER
111.3 square units.
EXPLANATION
The formula for calculating the area of a triangle is.
Let us the side of the triangle with side 12 units to be the base of the triangle.
Then the height of the triangle can be determined from the diagram using trigonometry.
We now plug in the values in to the formula to obtain,
See graph
111.3 square units.
EXPLANATION
The formula for calculating the area of a triangle is.
Let us the side of the triangle with side 12 units to be the base of the triangle.
Then the height of the triangle can be determined from the diagram using trigonometry.
We now plug in the values in to the formula to obtain,
See graph