For this case we have that by definition, the GCF (Greatest Common Factor) is the largest integer that divides the numbers.
We have the following expressions:
We find the factors of 9 and 6:
Thus, the largest number that divides 9 and 6 is 3
It is also observed that "b" is the common variable of both expressions
Therefore, the GCF of the expressions is:
Answer:
Answer:
x = 87
Step-by-step explanation:
37 + 56 = 93
triangles always equal to 180
180 - 93 = 87
x - √3y - 4 = 0 → <u>Choice</u><u> </u><u>A</u>
Step-by-step explanation:
x - 4 = √3y
x - 4 <u>- √3y</u> = √3y <u>- √3y</u>
x - 4 - √3y = 0
x - √3y - 4 = 0
Answer:
The ratio of flour to sugar is 2:1
Step-by-step explanation:
Let f = weight of a bag of flour
Let s = weight of a bag of sugar
3f+2s = 32
4f = 32
We have 2 equations and 2 unknowns, we can solve
4f=32
Divide by 4
4f/4 = 32/4
f = 8
Each bag of flour weights 8 pounds
Substitute this back into the first equation
3(8) +2s = 32
24+2s = 32
Subtract 24 from each side
24-24 +2s =32-24
2s = 8
Divide by 2
2s/2 = 8/2
s = 4 pounds
Flours weighs 8 pounds and sugar weights 4 pounds
We want the ratio of flour to sugar
Flour: sugar
8:4
We can divide each side by 4
8/4: 4/4
2:1
First solve for theta in 'x' equation:
Substitute into 'y' equation:
Simplify by rewriting cos in terms of sine.
Using pythagorean identity:
Simplify using inverse function property:
