Answer:
16 times the square root of 6
Step-by-step explanation:
2 radical54 simplifies:
2(radical6 x radical9), which is 6 radical6
and 5 radical24 simplifies:
5(radical6 x radical4), which is 10 radical6,
10 radical6 + 6 radical6=
16 radical6
It's the second answer, 6n + 2
The last pair of numbers bracket the point 3/7.
12/32 = 3/8 < 3/7
15/18 = 5/6 > 3/7
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3/7 ≈ 0.428571... (repeating), so will be larger than 3/8 = 0.375, 12/32 = 3/8, and 4/10. That is, 3/7 is larger than the largest number of each pair except the last.
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You can always compare two fractions to see which is larger by cross-multiplying. That is a/b vs c/d gives the same result as ad vs bc. (Put the product on the numerator side of the comparison.)
Here, that would mean comparing 12/32 vs 3/7, we would get 12·7 vs 3·32, or 84 vs 96. The fraction on the left is smaller.
Comparing 3/7 vs 15/18, we would get 3·18 vs 7·15, or 54 vs 105. The fraction on the right is larger.
Answer:
38.7°
Step-by-step explanation:
You are basically looking at a triangle with a 90° angle (check picture).
Since we are looking for the ramp's angle and are given the length of the opposite and the hypothenuse, we have to solve the following equation:
which is equivalent to
Answer:
Step-by-step explanation:
The slope, m, can be determined using any two points, and slope is defined as
m=(y2-y1)/(x2-x1), I’ll use (0,0) and (5,-1)
m=(-1-0)/(5-0)
m=-1/5
