Answer:
Salamander Trail is longer than Great Oak Trail
Step-by-step explanation:
The given parameters are;
The scale of the map is 36 mi = 6 cm
The length of Great Oak Trail = 4.5 cm
The scale of a different map is 24 mi = 3 cm
The length of Salamander Trail = 3.5 cm
Therefore, we have;
The actual length of Great Oak Trail based on the first map is given as follows;
36 mi = 6 cm
6 cm = 36 mi
1 cm = 36 mi/6 = 6 mi
4.5 cm = 4.5 × 6 mi = 27 mi
The actual length of Salamander Trail based on the second map is given as follows;
24 mi = 3 cm
3 cm = 24 mi
1 cm = 24 mi/3 = 8 mi
3.5 cm = 3.5 × 8 mi = 28 mi
Therefore, Salamander Trail with an actual length of 28 mi is longer than Great Oak Trail which has an actual length of 27 mi.
8000 is 1000 times larger than 8
Speed of Bruce for the rest of the trip is 30 miles/hour.
Step-by-step explanation:
- Step 1: Total distance = 170 miles. In the trip Bruce's speed = 55 miles/hour. So, in 1 hour, distance covered = 55 miles. Find distance covered in 2 hours and the distance of the last part.
Distance covered in 2 hours = 2 × 55 = 110 miles
Remaining part of the trip = 170 - 110 = 60 miles
- Step 2: Find the speed of Bruce in the remaining part of the trip when time = 2 hours and distance = 60 miles.
Speed = Distance/Time = 60/2 = 30 miles/hour
The benchmark angles are angles that are used as references like- 30 degrees, 45 degrees, 60 degrees, etc.
The closest angles to given rotation angles are:
A- 40- closest to the multiple of 45 degrees.
B- 140- closest to the multiple of 45 degrees (135 degree).
C- 170- closest to the multiple of 30 degrees (closest to 180 degrees which is multiple of both 30 and 45 degrees).
D- 220 -closest to the multiple of 30 degrees (210 degree).
E- 250- closest to the multiple of 30 degrees (240 degree).
F- 310- closest to the multiple of 45 degrees (315 degree).