Area of den =8x3 = 24ft²
living room = 7x6 = 42ft²
total = 24+42 = 66ft²
Cos(A-B) = cosAcosB + sinAsinB
<span>
cos(</span>π/2 - θ) = cos(π/2)cosθ + sin(π/2)sinθ
π/2 = 90°
cos(π/2) = cos90° = 0. sin(π/2) = sin90° = 1
cos(π/2 - θ) = cos(π/2)cosθ + sin(π/2)sin<span>θ
</span>
= 0*cosθ + 1*sin<span>θ = </span>sin<span>θ
Therefore </span>cos(π/2 - θ) = sin<span>θ
QED </span>
Answer:
Move all terms that don't contain
m
to the right side and solve.
Exact Form:
m
=
41
7
Decimal Form:
m
=
5.
¯¯¯¯¯¯¯¯¯¯¯¯
857142
Mixed Number Form:
m
=
5
6
7
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Vertical stretch means the graph stretches upward, rising more rapidly than the original, the graph is steeper than the original.
12 out of 18. This is because there is 6 red marbles and 18 of them all together. The question states the probability of the red marble NOT being chosen therefore you need to take away 6 from 18 leaving you with 12. I hope this made sense :)