You can use prime factorization to find the GCF of a set of numbers. This often works better for large numbers, where generating lists of all factors can be time-consuming.
Here’s how to find the GCF of a set of numbers using prime factorization:
* List the prime factors of each number.
* Circle every common prime factor — that is, every prime factor that’s a factor of every number in the set.
* Multiply all the circled numbers.
The result is the GCF.
For example, suppose you want to find the GCF of 28, 42, and 70. Step 1 says to list the prime factors of each number. Step 2 says to circle every prime factor that’s common to all three numbers (as shown in the following figure).
As you can see, the numbers 2 and 7 are common factors of all three numbers. Multiply these circled numbers together:
2 · 7 = 14
Thus, the GCF of 28, 42, and 70 is 14.
Answer:
Triangle 3
Step-by-step explanation:
A 3:4:5 triangle or any triangle of the same ratio (Like 6:8:10) is always a right triangle
Answer:
The amount deductible by Shelley is $2,929
Step-by-step explanation:
Using the table below as the missing information:
Airfare to New Jersey $ 2,180
Meals $238
Lodging in New Jersey $432
Rental car $198
All the above expenses are fully deductible by Shelley except the meal which is half deductible.
Half of the meal expenses is:
= 238 / 2 = $119
So the amount deductible by Shelley is:
2180 + 119 + 432 + 198
= 2929
Therefore, the amount deductible by Shelley is $2,929
Answer:
100
Step-by-step explanation:
180-140=40
The other degree is also 40.
40+40=80
180-80=100
Answer:
Step-by-step explanation:
Q1) r = 6 ft
Area of semicircle = πr²/2 = 6*6*3.14/2
Area of shape = 6*6*3.14/2 + area of the rectangle attached.
option 2
Q2) length of the arc = circumference of the circle /2
=2πr/2
= 2 * 3.14 * 6 /2
=12 * 3.14/2 ft
option 1