Answer:
There are three major trignometric ratios in mathematics and they are:
sine(sin), cosine(cos) and tangent(tan). A popular acronym is used in recalling the formula for each ratio and it is: SOH-CAH-TOA.
Sine(x) = Opp/Hyp
Cosine(x) = Adj/Hyp
Tangent(x) = Opp/Adj
Now, the Hyp is the hypothenus of the triangle and it is the side opposite to angle 90. The opposite and adjacent is kind of relative depending on the angle been considered. For this case, we are considering angle 30 which the opposite side is 60 and the remaining side becomes the adjacent
Step-by-step explanation:
tan 30 = 60/x
f(3) = 1.9
Solution:
Given function:
To find f(3):
Substitute x = 3 in the given function.
Let us first simplify 
.
Apply exponent rule: 
The value of 
. (using calculator)
Substitute this value in f(3).
f(3) = 1.9
Hence the value of f(3) is 1.9.
1/2 * 2/3 *3/4 * ... * 1999/2000
Observe, every numerator cancels with denominator
that leaves 1/2000
Answer:
14.32
Step-by-step explanation:
We can find the distance using the distance formula:
We then substitute (-2,8) as 
and (11,2) as 
.
Answer:
The true statements are:
Step-by-step explanation:
As we are given,
AD = 3.5 and BD = 3.5
CE = 3 and BE = 3
From the given triangle ΔABC, it is clear that:
The segment DE bisects the sides AB and BC, so
AD = BD
CE = BE
It is clear that the segment DE is parallel to the segment AC, thus
DE || AC
As DE is the midsegment between AB and BC, so
2DE = AC
1/2AC = DE
Thus, the true statements are:
