9514 1404 393
Answer:
18
Step-by-step explanation:
90 = 18·5
126 = 18·7
180 = 18·10
990 = 18·55
The greatest common factor of these numbers is 18.
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<em>Comment on the GCF</em>
It can be useful to know Euclid's algorithm for finding the GCF:
- Determine the remainder from dividing the larger number by the smaller.
- If the remainder is zero, the smaller number is the GCF. If the remainder is non-zero, use it to replace the larger number and repeat from step 1.
For example, 126 mod 90 = 36; 90 mod 36 = 18; 36 mod 18 = 0, so 18 is the GCF of 126 and 90. (The modulo function 'mod' returns the remainder from division.)
Answer:
z^5
Step-by-step explanation:
z^8 * z^-3
Since we are multiplying exponents and the bases are the same, we can add the exponents
z^(8-3)
z^5
Answer:
Hey! I believe this is your answer:
4 glasses
Hope this helped!
Step-by-step explanation:
If the number is 5 or greater you round it up
if its four or less you round down
The measure of angle theta is 30 degrees.
This is a 30-60-90 triangle where the short leg is half that of the hypotenuse. The short leg is opposite the smallest angle 30 degrees.
You can use trig to find that
sin(angle) = opposite/hypotenuse
sin(theta) = 5/10
sin(theta) = 0.5
theta = arcsin(0.5)
theta = 30 degrees
