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
<span>alright it would have been easier if u took a pic but i think its a matching prob with choices A thro F:
Water boils at 212 degrees __________
A. Celsius Incorrect
Water boils at 100 degrees _________
B. Kelvin Incorrect
Water boils at 373 _______
C. Thermal Equilibrium Incorrect
Temperature at which all kinetic energy stops
D. Thermal Energy Incorrect
Reached when 2 objects have the same temperature
E. Absolute zero Incorrect
Sum of all kinetic energy and potential energy in an object's particles
F. Fahrenheit
So here are the correct matches:
</span>Water boils at 212 degrees __________F. Fahrenheit
Water boils at 100 degrees _________ A. Celsius
Water boils at 373 _______ B. Kelvin
Temperature at which all kinetic energy stops______E. Absolute zero
Reached when 2 objects have the same temperature ________C. Thermal Equilibrium
Sum of all kinetic energy and potential energy in an object's particles _____ D. Thermal Energy
*See attachment for the diagram
Answer:
Tan 60 = √3
Step-by-step explanation:
Recall: SOHCAHTOA
Thus,
Tan 60 = Opp/Hyp
From the diagram given,
Opp = YZ = ?
Hypotenuse = XY = 42
Find the length of YZ using Pythagorean Theorem:
YZ = √(42² - 21²) = √1,323
YZ = √(441 × 3) = 21√3
✔️Find Tan(60):
Tan 60 = Opp/Hyp = YZ/XY
Tan 60 = (21√3)/21
Tan 60 = √3
Answer:
4b² - 16
Step-by-step explanation:
The formula to find the area of a parallelogram equals
, where b = base and h - height. We're given the base as 2b + 4 and the height as 2b - 4.
Therefore, the answer is 4b² - 16.