Answer:
49,152
Step-by-step explanation:
top side=12ft
5 bottom sides=4ft each
2 L,R sides=2ft each
= 12×4×4×4×4×4×2×2
= 49,152
Angle 1 = 130°
Angle 2 = 124°
Angle 3 = 56°
Angle 4 = 52°
Angle 5 = 72°
Angle 6 = 94°
I primarily used the triangles to get my answers. Remember the angles in a triangle add up to 180°.
Answer:
Step-by-step explanation:
\[2~ sin^2 x+3sin x+1=0\]
\[2sin^2x+2sin x+sin x+1=0\]
2sinx(sin x+1)+1(sin x+1)=0
(sin x+1)(2 sin x+1)=0
either sin x+1=0
sin x=-1=sin 3π/2=sin (2nπ+3π/2)
x=2nπ+3π/2,where n is an integer.
or 2sin x+1=0
sin x=-1/2=-sin π/6=sin (π+π/6),sin (2π-π/6)=sin (2nπ+7π/6),sin (2nπ+11π/6)
x=2nπ+7π/6,2nπ+11π/6,
where n is an integer.
Cos (B) = (a^2 + c^2 -b^2) / (2 * a * c)
cos (B) = (11^2 +17^2 -12^2) / (2 * 11 * 17)
cos (B) = (121 + 289 -144) / (374)
cos (B) = 266 / 374
cos (B) =
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0.7112299465
Angle B = </span></span></span>44.665 degrees
None
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