9514 1404 393
Answer:
64.2 cm²
Step-by-step explanation:
The length AC is found from ...
Area of ACD = (1/2)(AC)(CD)
80.5 cm² = (1/2)(AC)(14 cm)
AC = 80.5 cm²/(7 cm) ≈ 11.5 cm
__
The area of ∆ABC is ...
Area ABC = (1/2)(CB)(CA)sin(C)
= (1/2)(19 cm)(11.5 cm)sin(36°) ≈ 64.2 cm²
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 )
They already give you the number of boys {14}, so all you need to do is subtract 30 - 14 which will give you the ratio of girls.
It does this because 14 takes up of the seventh grade class.
So your answer is going to be 14:16 un-simplified.
However, since they ask you to put it in the simplest terms, we are going to simplify
You can do this by dividing both numbers by 2.
=
or