use the pythagorean theorem
Step-by-step explanation:
Fractions with only factors of 2 and 5 are terminating. If not, they give repeating decimals.
Therefore 17/8 and 34/16 are terminating whereas 2/13, 5/24 and 6/7 are repeating decimals.
Given:
Vertices of a triangular garden:
A(4,2)
B(2,4)
C(6,4)
Scale factor = 0.5
Find the distance between points:
d = √(x2-x1)^2 + (y2-y1)^2
dAB = 2√2
dBC = 4
dCA = 2√2
A similarly shaped garden is to be created using the scale factor, 0.5:
A' = 2√2 / 0.5 = 4√2
B' = 4 / 0.5 = 8
C' = 2√2 / 0.5 = 4√2
Answer:
The answer is: 1. 5 minutes and 2. 133.3 meters
Step-by-step explanation:
To find how long it takes the cyclist to travel 2km at 24km / hour, set up the equation and cross multiply:
2 / 24 = x / 1
24x = 2
x = 2/24 = 1/12 of an hour or 60 / 12 = 5 Minutes.
To find how far he travels in 20 seconds:
Multiply 24 km by 1000 to get meters per hour. Divide by 3600 to get meters per second:
24000 / 3600 = 6.6 meters per second.
Multiply by 20 seconds to get the distance traveled in 20 seconds:
6.6 * 20 = 133.3
