Substitute the variables for the numbers. Then solve.
b⁵ = 3⁵ = 243
c⁶ = 4⁶ = 4096
b³ = 3³ = 27
c³ = 4³ = 64
(243)(4096)/(27)(64) = 576
Answer:
a) 10.7 cm
b) 11.6 cm
c) 29.9 cm²
Step-by-step explanation:
a) sin(α)/a = sin(β)/b
sin(∠BCD)/BD = sin(DBC)/DC
sin(41°)/BD = sin(55°)/13.4
BD = 13.4*sin(41°)/sin(55°) = 10.73 cm ≈ 10.7 cm
b) From ΔBCD , ∠BDC = 180-(41+55) = 84°
∠ABD and ∠BDC are alternate interior angles, so they are congruent, and
∠ABD = ∠BDC = 84°
AD²= AB² + BD² - 2*AB*BD*cos (∠ABD) =
= 5.6² + 10.73² - 2*5.6*10.73*cos(84°) = 133.93 cm²
AD =√(133.93) ≈11.6 cm
c) Area(ADB) = (1/2)*AB*BD*sin(∠ABD)=(1/2)*5.6*10.73*sin(84°) ≈ 29.9 cm²
Hello!
When doing a 90 degree reparation you flip the coordinates and apply to the sign of the quadrant.
For example, If it flips into quadrant one, they will both be positive.
So, in this case it would be Triangle 4.
Hope this helped!
