Answer:
The distance to his office is 2.5 miles.
Step-by-step explanation:
Given : Wade bicycles at a speed of 10 miles an hour and arrives at his office in only 15 minutes.
To find : What is the distance in miles to his office?
Solution :
The relationship between distance, speed and time is
The speed of bicycle is 10 miles per hour.
Time taken is 15 minutes.
Converting into hours,
1 hour = 60 minutes
1 minute = 
hours
15 minute = 
hours
15 minute = 0.25 hours
Substitute the value sin the formula,
Therefore, The distance to his office is 2.5 miles.
Let the speed of the current be y and the speed of Micah's sailing speed be x. Then 4.48/(x + y) = 0.32
4.48/(x - y) = 0.56
0.32x + 0.32y = 4.48 . . . (1)
0.56x - 0.56y = 4.48 . . . (2)
(1) x 7 => 2.24x + 2.24y = 31.36 . . . (3)
(2) x 4 => 2.24x - 2.24y = 17.92 . . . (4)
(3) - (4) => 4.48y = 13.44
y = 3
From (1), 0.32x + 0.32(3) = 4.48
0.32x = 4.48 - 0.96 = 3.52
x = 3.52/0.32 = 11
Therefore, the speed of the current is 3 miles per hour.
Answer:
i) 60°
ii) 14.7 cm
Step-by-step explanation:
length of Arc BA = 8.4 cm
length of radius = 8 cm
angle AOC = 45°
BO = AO = CO = 8 cm
<u>i) What is the measure of Angle BOA </u>
= length of Arc BA / Radius
= 8.4 / 8 = 1.05 radians = 60.16° ≈ 60°
<u>ii) what is the length of arc BAC</u>
= radius * angle BAC * 
angle BAC = angle AOC + angle BOA
= 45° + 60° = 105°
hence length of arc BAC
= 8 * 105 *
≈ 14.7 cm
Answer:
1184000
Step-by-step explanation:
lcm(2960,6400,2000)
prime factor:
Take the largest power of each factor:
There are 8 equal parts. Each part is 1/8 of the whole 8/8
