Answer:
The GCF of 125 and 150 is 25.
Answer:
d = 7.4 cm is the distance between the two cities on the map.
Step-by-step explanation:
Let d = the distance measured on the map in centimeters (cm) between any two locations and let D be the actual distance in kilometers (km) between these same two locations.
Since the scale on the map is 1 cm = 45 km, then the ratio of the distance on the map to the actual distance is equal to 1cm/45 km; therefore the quotient of any measured distance d on the map divided by the corresponding much longer actual distance D would have to maintain (equal) this same ratio; In other words, we can set up the following proportion to solve for d given the actual distance D = 333 km as follows:
1 cm/45 km = d/D
Substituting, we get:
1 cm/45 km = d/333 km
d/333 km = 1 cm/45 km
(d/333 km)(333 km) = (1 cm/45 km)(333 km)
d = (333 km/45 km)(1 cm)
d = 7.4 cm is the distance between the two cities on the map.
Check:
1 cm/45 cm = d/333 km
1 cm/45 cm = 7.4 cm/333 km
1 cm/45 cm = 1 cm/45 km (Therefore, the distance ratio of the map has been maintained
Answer:
Step-by-step explanation:
Using the formula for calculating speed;
Speed = Distance/Time
Given
Speed = 3/24 miles per 3 hours
Required
Distance travelled in an hour
3/24 miles = 3 hours
x = 1 hour
Cross multiply;
3 * x = 3/24 * 1
3x = 3/24
Cross multiply;
3x * 24 = 3
72x = 3
x = 3/72
x = 1/24
Hence the distance travelled each hour is 1/24 miles
Answer: 45
Step-by-step explanation:
The intervals between them is 5 and you are looking for the 9th term. So 5 × 9 = 45
Answer: 1
Step-by-step explanation:
sin(5π/4)
2π=360°
4π=720°
1/4π=360/4=90°
sin(810)=sin(90°)=1
