Three times negative 4.5?
Answer:
AB = BC = 2√2
Step-by-step explanation:
Start by focusing on the 45 degree angle. The unknown AB is the side adjacent to this 45 degree angle, and the hypotenuse is known to be 4.
Thus,
cos 45 degrees = adj / hyp = AB / 4, or
AB = 4 cos 45 degrees = 4 (1 / √2) =
4 √2
----------- * --------- = 2√2
√2 √2
Since this is a 45-45-90 triangle, the two shorter sides are equal, and so BC = 2√2 also.
27/2=13.5(radius)
area: pi*r*r=
pi*13.5*13.5=
572.55526
rounded, 572.56
circumference: 2*pi*r(which is basically diameter times pi)
27pi=84.823
rounded, 84.82
Side adjacent to the given angle: x
Diagonal=hypotenuse=20
cos (36° 42') =(side adjacent to angle 36° 42')/Hypotenuse
cos (36° 42')=x/20
Solving for x. Multiplying both sides of the equation by 20:
20 cos (36° 42')=20 (x/20)
20 cos (36° 42')=x
x=20 cos (36° 42')
x=20 (0.801775644)
x=16.03551288
x=16.04
Answer: Option D. 16.04
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