Ignore the mess... I need help with #20 please and thank you
1 answer:
Because the triangle is isosceles, angle P and angle R are the same. Thus, your work would be:
. You then simplify this to 6x+4 + 196 - 8x = 180. Combine like terms, you get - 2x = - 20. x = 10.
Plug x = 10 back into the equation 98 - 4x to get 98 - 4(10) which becomes 98 - 40 = 58.
Angle P should be equal to 58 degrees.
To check your work add up the angles to see if they equal 180:
58 + 58 + 6(10) + 4 = 116 + 64 = 180.
Plug x = 10 back into the equation 98 - 4x to get 98 - 4(10) which becomes 98 - 40 = 58.
Angle P should be equal to 58 degrees.
To check your work add up the angles to see if they equal 180:
58 + 58 + 6(10) + 4 = 116 + 64 = 180.
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<u>EXPLANATION</u><u>:</u>
Given that
sin θ = 1/2
We know that
sin 3θ = 3 sin θ - 4 sin³ θ
⇛sin 3θ = 3(1/2)-4(1/2)³
⇛sin 3θ = (3/2)-4(1/8)
⇛sin 3θ = (3/2)-(4/8)
⇛sin 3θ = (3/2)-(1/2)
⇛sin 3θ = (3-1)/2
⇛sin 3θ = 2/2
⇛sin 3θ = 1
and
cos 2θ = cos² θ - sin² θ
⇛cos 2θ = 1 - sin² θ - sin² θ
⇛cos 2θ = 1 - 2 sin² θ
Now,
cos 2θ = 1-2(1/2)²
⇛cos 2θ = 1-2(1/4)
⇛cos 2θ = 1-(2/4)
⇛cos 2θ = 1-(1/2)
⇛cos 2θ = (2-1)/2
⇛cos 2θ = 1/2
Now,
The value of sin 3θ /(1+cos 2θ
⇛1/{1+(1/2)}
⇛1/{(2+1)/2}
⇛1/(3/2)
⇛1×(2/3)
⇛(1×2)/3
⇛2/3
<u>Answer</u> : Hence, the req value of sin 3θ /(1+cos 2θ) is 2/3.
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