<h2>I hope it will help you!!!!!</h2>
Sin(A+B) = SinACosB + CosASinB
Cos(A+B) = CosACosB - SinASinB
Note pi is taken as pi radians = 180 degrees. Cospi = Cos180 = -1.
Sinpi = Sin 180 = 0
Cos(A+pi) = CosACospi - SinASinpi = (CosA) * (-1) - (SinA) *(0) = -CosA.
Sin(A+pi) = SinACospi + CosASinpi = (SinA)* (-1) + (CosA) * (0) = -SinA.
Cos(A+pi) - Sin(A+pi) = -CosA - -SinA = -CosA + SinA = SinA - CosA.
Answer = (a).
Answer:
see explanation
Step-by-step explanation:
25
The diagonals of a kite are perpendicular to each other, hence
∠EHF = 90°
The sum of the 3 angles in a triangle = 180°
In ΔEHF
∠1 + ∠2 + 90 = 180, that is
42 + ∠2 + 90 = 180
132 + ∠2 = 180 ( subtract 132 from both sides )
∠2 = 48°
26
DE and DG are congruent sides, hence
4x - 2 = 22.5 ( add 2 to both sides )
4x = 24.5 ( divide both sides by 4 )
x = 6.125
27
∠A and ∠C are congruent, hence
∠A = ∠C = 82°
The sum of the interior angles of a kite = 360°, hence
x = 360 - (82 + 82 + 140) = 360 - 304 = 56
Let f be the fraction invested at 10%. So (1-f) is the fraction at 7%. After one year the interest is
664 = 8200 f (.10) + 8200 (1-f) (.07) = 8200(.03)f + 8200(.07)
f = (664 - 8200(.07))/(8200(.03)) = .3659 = 36.59 %
Answer: 36.59%
Check:
8200(.3659)*.1 + 8200(1-.3659)*.07 = 664.01 good
