Answer:
B. 33
Step-by-step explanation:
The side opposite the 45° angle has measure 11√6×sin(45°). The side opposite the 60° angle has measure tan(60°) times that, so we have ...
x = 11√6×sin(45°)×tan(60°) = 11√6×(√2/2)×√3 = 11×(√6)²/2
x = 33
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The mnemonic SOH CAH TOA can be a useful reminder of the definitions of the trig functions. It tells you ...
Sin = Opposite/Hypotenuse
Tan = Opposite/Adjacent
Using these relations, we can find the sides of interest:
Opposite = Hypotenuse × Sin . . . . for the 45° triangle
Opposite = Adjacent × Tan . . . . . . for the 60° triangle
where the side opposite the 45° angle is the side adjacent to the 60° angle.
1 hour is 60 minutes. The ratio of 60 minutes to 45 minutes is 4:3 .
Answer:
90 - 37 will give a solid 53
Step-by-step explanation:
the two sums of A to C to C to B so 22.9(C, B) and 14.1 (A, C)
and know that this angle is 90 degrees, my guess would be to subtract the to given numbers with degrees to earn the sum so 22.9 + 14.1 equals 37
now we add angle degrees and sum and subtract one another,
90 - 37
Given:
The three vertices of the parallelogram are (-3,9), (0,-3), (6,-6).
To find:
The fourth vertex of the parallelogram.
Solution:
Consider the three vertices of the parallelogram are A(-3,9), B(0,-3), C(6,-6).
Let D(a,b) be the fourth vertex.
Midpoint formula:
We know that the diagonals of a parallelogram bisect each other. So, the midpoints of both diagonals are same.
Midpoint of AC = Midpoint BD
On comparing both sides, we get
And,
Therefore, the fourth vertex of the parallelogram is (3,6).
