1/6 should be the right answer
Answer:
2√3
Step-by-step explanation:
In a special right triangle called the 30-60-90 triangle, the ratios of the side lengths are x-x√3- 2x respectively. This means that the side opposite to the 60 degrees is x√3 and the side opposite to the 30 degrees is x.
Since the side opposite to the 60 degrees is 6, x√3=6
x√3=6
x=6/√3
rationalize the denominator:
6√3/3
simlify
2√3
so the answer is the third one. 2√3
Answer:
Step-by-step explanation:
14.Since the most common denominator is 40 lets multiply all the denominators to equal all to 40
Evita:24/40
Jack:25/40
Keisha:30/40
Sinjo:20/40
Therefore Keisha drank the most bottles
15. The most common denominator for 5/8 and 2/3 is 24 lets have both denominators equal to 24
5/8 -> 15/24
2/3-> 16/24
Therefore flour is the greater amount
16.Multiply the denominators equal to 6 since thats the least common denominator
1/2->3/6 | 2/3->4/6
Therefore peanuts is the greater ingredient amount
17.If you multiply both the numerator and denominator of a fraction by the same non-zero number, the fraction remains unchanged in value. Therefore, equivalent fractions can be created by multiplying (or dividing) the numerator and denominator by the same number.
18.We can compare fractions with unlike denominators by finding the least common denominator and making equivalent fractions. When the denominators are the same, the number with the larger numerator is the larger fraction.
Answer:

Step-by-step explanation:
The slope-intercept form of an equation of a line:

- slope
- y-intercept (0, b)

- points on the line
From the graph we have two points (<em>look at the picture</em>)
and 
Calculate the slope:

Put the values of
and
to the equation of a line:
[tex]y=-\dfrac{1}{4}x+2[tex]