In a full rotation, 360°, a point on the edge of a gear would travel a distance equal to its circumference. The circumference of a circle is:
C=2πr, and since we are only traveling 150°, we need to set up an appropriate ratio for circumference to the distance the point travels:
d/C=150/360
d=5C/12 and since C=2πr
d=10πr/12
d=5πr/12, and since r=4in
d=5*4π/12 in
d=20π/12 in
d=5π/3 in
d≈5.24 in (to nearest hundredth of an inch)
25 meters per second x 60 seconds = 1500 meters per minute
1500 meters per minute x 60 minutes per hour = 90,000 meters per hour
1 mile = 1609.34 meters
90000/1609.34 = 55.92 miles per hour
round answer to either 55.9 or 56 mph depending on what you need.
Answer: 1/36
Step-by-step explanation: 2/9 x 1/8 =2/72 = 1/36
Answer:
y=4
Step-by-step explanation:
20000*0.45 = 9000 in the bond
20000*0.15 = 3000 in the CD
20000*0.20 = 4000 in stocks
20000*0.029 = 580 in savings
A=9000(1 + 4.35%)^3 = 10,226.33
A=3000(1 + 2.90%)^3 = 3,268.64
A=4000 (1 + 8%) x (1 - 4%) x (1 + 6%) = 4,396.03
A=580(1 + 4.35%)^3 = 4,545.04
Total value = 22,436.04
Gain = 22,436.04 - 20,000 = 2,436.04
