For this case what we must do is use the law of cosines.
We have then:
12 ^ 2 = 6 ^ 2 + 10 ^ 2 - 2 * (6) * (10) cos (x)
Clearing we have:
cos (x) = (12 ^ 2- (6 ^ 2 + 10 ^ 2)) / (- 2 * (6) * (10))
x = acos ((12 ^ 2- (6 ^ 2 + 10 ^ 2)) / (- 2 * (6) * (10)))
x = 93.82 degrees
Answer:
The tree is growing in relation to the hill at:
x = 93.82 degrees
There are four-thirds servings per pound
Each person has 4 guavas (12 divided by 3 is 4)
Answer: Transitive Postulate of Inequality (last option)
Explanation:
Let's say we have a vacation where we go from City A, to City B, then to City C. We can use the notation
. If all we cared about was the first and last cities, then we basically say
taking a shortcut so to speak.
This analogy is useful to describe the transitive property.
The equality version is where if we had a = b and b = c, then a = c.
The inequality version is where if we had a < b and b < c, then a < c. In this case, c = 2.
In a sense, its like linking together metal chains. A leads to B which leads to C. So we can just jump from A to C.
It might help to draw out a number line and pick values for a and b like a = 0 and b = 1. That way you can see how a < b, b < c and a < c all tie together.
Answer:
0.0025
Step-by-step explanation: