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:
Length of diagonal in the first top figure is 13 yd
Okay for this one, the formula of a diagonal in a cuboid is the root of sum of squares
length, breadth and height
so
D = root of 12^2 + 4^2 + 3^2
D = root of 144 + 16 + 9
D = root 169
D = 13yd
Length of diagonal in the bottom figure is 10.77 which is 10.8m
For this one, you have to find the diameter of base first
Since radius of the base is 5 diameter = 10
Since its a right angled triangle, Hypotenuse square = sum of sides square
Diagonal^2 = 10^2 + 4^2
D^2 = 100 + 16
D^2 = 116
D = root 116
D = 10.77
D = 10.8 m

There is one-sided horizontal asymptote
Answer:
Step-by-step explanation:
Population(pop) = 800,000 people
Growth rate=7℅
Pop growth in a year= ((100+7)÷100) × 800000 =856000people
Pop in 20 years = 856000×20
=17,120,000 people