One is 17.22 and the other is simply 2.
Her house to school is 5 miles.
The distance on the map is 2.5 inches, so we know 2.5 inches equals 5 miles.
Divide 5 miles by 2.5 inches to find miles per inch:
5 / 2.5 = 2 miles per inch.
Now you can multiply the other dimensions on the map by 2 to find total miles:
School to Library = 3 x 2 = 6 miles.
Library to Park = 1.5 x 2 = 3 miles.
Total distance traveled: 5 + 6 + 3 = 14 miles.
Answer:
A = 20.25π sq meters
Step-by-step explanation:
C = 2πr
9π = 2πr
divide π from each side to get:
9 = 2r
r = 9/2 or 4 1/2
A = πr²
A = π (4.5²)
A = 20.25π
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