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
Answer:
Governments, need to know how many inhabitants currently live in the country and how many there will be in the future. From this they can plan and make better decisions regarding the construction of schools, hospitals, roads, and more.
Answer:
Step-by-step explanation:
Given Recursive formula : ,
Then,
We can write it as :
such that
n
1
2
3
Hence, the required function:
Two hundred thirty nine thousand five hundred and eighth
<span>A board is 5 inches long. The division sentence shows that when the board is cut into inch pieces, each piece will be will be inches long.
</span>hopes this helps :) :D :)