Answer:
0.24
Step-by-step explanation:
first card probability 50%
second card probability 47%
0.50 • 0.47 = 0.235 (0.24)
Answer:
(b) cos(3π/10)
Step-by-step explanation:
The given expression matches the trig identity form for the cosine of the difference of two angles:
cos(α-β) = cos(α)cos(β) +sin(α)sin(β)
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To match the given expression exactly, we can choose ...
α = π/2
β = π/5
Then the difference is ...
α -β = π/2 -π/5 = (5/10)π -(2/10)π = 3π/10
The given expression can be shortened to ...
cos(3π/10)
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<em>Additional comment</em>
Sometimes it can be difficult to remember when the signs in trig identities match, and when they differ. The fact that cosines of smaller angles have larger values can be a peg on which to hang that hat.
Step-by-step explanation:
You should draw a figure of rectangle.
And then draw two parralel in any side
Then apply pythagorous theorem which is
a square+b square = c square
3 / 4 w + 8 = 1 / 3 w - 7
Multiply by LCD = 4 ( w + 2 )(3w - 7)
3(3w-7) = 4(w + 2)
3*3w - 3*7 = 4 * w + 4 * 2
9 w - 21 = 4 w + 8
Add 21 to both sides :
9w - 21 + 21 = 4w + 8+ 21
9w = 4w + 29
9w - 4w = 29
5 w = 29
Divide both sides by 5 :
5 w / 5 = 29 / 5
w = 29 / 5
hope this helps!
