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rosijanka [135]
2 years ago
6

PLS HELP ME ASAP FOR ALL 6!! (SHOW WORK!!) + LOTS AND LOTS OF POINTS!!! *GIVING THANKS!!*

Mathematics
1 answer:
aleksandr82 [10.1K]2 years ago
4 0
This is the answer for #1

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What is the greatest common factor of 90, 126, 180 and 990?
mylen [45]

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.

__

<em>Comment on the GCF</em>

It can be useful to know Euclid's algorithm for finding the GCF:

  1. Determine the remainder from dividing the larger number by the smaller.
  2. 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.)

3 0
2 years ago
Simplify the expression: z8 * z-3
MissTica

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

3 0
3 years ago
You made 1⁄2 quart of lemonade. How many 1⁄4 quart-sized glasses will you be able to fill with lemonade
KatRina [158]

Answer:

Hey! I believe this is your answer:

4 glasses

Hope this helped!

Step-by-step explanation:

4 0
2 years ago
How do you estimate the first digit of the quotient
Ray Of Light [21]
If the number is 5 or greater you round it up 
if its four or less you round down

3 0
3 years ago
The hypotenuse of a right triangle measures 10 inches, and the side opposite to ∠θ, one of the non-right angles, is 5 inches lon
NISA [10]
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
7 0
3 years ago
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