Let's use our trigonometric skills to solve for this one:
Answer:x=3 y=1/2
Step-by-step explanation:
x+2y=4
2x-2y=5
Add both equations together
x+2x+2y-2y=4+5
3x+0=9
3x=9
Divide both sides by 3
3x/3=9/3
x=3
Substitute x=3 in x+2y=4
x+2y=4
3+2y=4
Collect like terms
2y=4-3
2y=1
Divide both sides by 2
2y/2=1/2
y=1/2
Answer:
A ≈ 40.3 cm²
Step-by-step explanation:
The area of right Δ ACD is calculated as
A =
bh ( b is the base and h the perpendicular height )
Here A = 50.5, b = CD and h = AC , then
× 14 × AC = 50.5
7 AC = 50.5 ( divide both sides by 7 )
AC ≈ 7.214
The area of Δ ABC is calculated as
A =
× BC × AC × sin36°
= 0.5 × 19 × 7.214 × sin36°
≈ 40.3 cm² ( to 3 sf )