Answer:
18.85
Step-by-step explanation:
2(3.14)(3)
∠KMN = (1/2)*arc KN . . . . . . this relationship is true of any inscribed angle. (It is a useful relationship to remember.)
= 95°/2
= 47.5°
Answer:
about 2.81 km/h
Step-by-step explanation:
It can be useful to draw a diagram.
The lines pointing to due north from points B and P are parallel, so the angle BCP and the bearing of point C from P are the same, 30°. The angle BPC will be the difference of bearings of B and C at P, so is 47-30=17°. This is enough information to solve the triangle using the Law of Sines:
PB/sin(C) = CB/sin(P)
CB = PB·sin(P)/sin(C) = (1200 m)·sin(17°)/sin(30°) ≈ 701.7 m
The speed of the boat is then ...
x = distance/time = (0.7017 km)/(1/4 h) = 2.8068 km/h
Answer:
10
Step-by-step explanation:
Length of boards are the same :
Let number of boards = x
Fraction cut from each board = 3/5
Total fraction cut = 3/5 * x
Fraction left = 1 - 3/5 = 2/5
Total fraction left = 2/5 * x
Total pieces left = 2/5 * x = 4 times length of original board
Note ; original fraction = 1
Hence,
2/5 * x = 4 * 1
2x / 5 = 4
2x = 4 * 5
2x = 20
x = 20 / 2
x = 10
Number of boards = 10