Answer:
height of the balloon = 1.0494 miles
Step-by-step explanation:
I drew a triangle and labeled angles A, B and C and sides a, b and c.
a = (c · sin A) / sin C = (3.5 · sin 24.5°) / sin 114.2° = 1.4514 / 0.9121 = 1.59 miles
now we have a 90° triangle
h = (a · sin B) / sin 90° = (1.59 · sin 41.3°) / sin 90° = 1.0494 / 1 = 1.0494 miles
Answer:
a) Approximate height of the statue: 144 feet
b) The approximate height is 1.7% greater that the actual height of the statue.
Explanation
1) Assume that the measures of the statue are proportional to the dimensions of the student. That means:
statue's height student's height
________________________ = ______________________
length of the statue's right arm length of student's right arm
⇒ x / 54 feet = (5 + 1/3) feet / 2 feet
⇒ x = 54 × (16/3) / 2 feet = (54×16) / (3×2) feet = 144 feet
Answer: 144 feet
2) Compare the approximate heigth obtained with the actual height:
144 feet - (143 feet + 9 inches) = 144 feet - (143 feet + 9/12 feet) = 1 feet - 9/12 feet
1 feet - 9/12 feet = 1 feet - 3/4 feet = 1/4 feet.
Hence, the approximate feet obtained is 1/4 feet larger than the actual height.
In relative terms that is : (1/4) / (143 + 3/4) = 0.0017 = 1.7%.
Answer:
volume of fodder=1/3pie R^2h=
l^2=r^2+h^2
l^2=(2.1)^2+(3.6)^2
l^2=4.441+12.96=17.37
l=
=4.17m
minimum area of polythene to cover fodder=pieRl=
the volume of fodder is
and minimum area of polythene to cover fodder in the rainy seasonv47.18m^3
C) 3, 4, 5
any triangle with that ratio will make a right triangle
Answer:
64
Step-by-step explanation:
Marcello sells coupon books to his neighbors
4 neighbors each buy 2 coupon books
Each book have 8 coupons
Therefore the total number of coupons that all neighbors will get can be calculated as follows
Each neighbor will get 16 coupon
Hence the whole neighbors will get
16×4
= 64 coupons