Using the least common factor, it is found that:
- a) 60 packages should be bought.
- b) There will be 5 filled goody bags.
<h3>
Least Common Factor:</h3>
- The sizes of the packages are: 10, 6, 15 and 12.
- To fill each bag and have no left-overs, the number of packages is the <u>least common factor</u> of these amounts.
- The least common factor is found factoring the numbers into prime factors.
Item a:
10 - 6 - 15 - 12|2
5 - 3 - 15 - 6|2
5 - 3 - 15 - 3|3
5 - 1 - 5 - 1|5
1 - 1 - 1 - 1
Hence, lcf(10,6,15,2) = 2 x 2 x 3 x 5 = 60.
60 packages should be bought.
Item b:
Goody bags are in packages of 12, hence:
60/12 = 5.
There will be 5 filled goody bags.
To learn more about the least common factor, you can take a look at brainly.com/question/24873870
Answer:
It would be 34.43631578 but you can just say 34.4
Step-by-step explanation:
B it is no problem I don't think it's that answer but yea
Answer: 50 degrees
You cut the arc measure 100 degrees in half. This is using the inscribed angle theorem. The angle 'a' is the inscribed angle that cuts off this 100 degree arc.
Answer: BC = 16√2 ft
Step-by-step explanation:
Triangle ABC is a right angle triangle. From the given right angle triangle, BC represents the hypotenuse of the right angle triangle.
With m∠W as the reference angle,
AB represents the adjacent side of the right angle triangle.
AC represents the opposite side of the right angle triangle.
To determine the length of BC, we would apply the Sine trigonometric ratio which is expressed as
Sin θ, = opposite side/hypotenuse. Therefore,
Sin 45 = 16/BC
√2/2 = 16/BC
BC = 16/(√2/2) = 16 × 2/√2
BC = 32/√2
Rationalizing the denominator, it becomes
BC = 32/√2 × √2/√2
BC = 32√2/2
BC = 16√2 ft
