For example, for LCM (12,30) we find:
Using the set of prime numbers from each set with the highest exponent value we take 22 * 31 * 51 = 60. Therefore LCM (12,30) = 60.
Answer:
C
Step-by-step explanation:
Now, what we know is that the total distance from the dormitory to the city is 1 if expressed in fraction. What we need to know is the fraction of the journey that is scheduled as the last part.
We can get this by subtracting the fractions of the first two phases from 1.
This goes as follows:
1 - (1/5) - (2/3) = 2/15
Now, we know that the final 8 kilometers constitute a fraction of just 2/5
Hence, we know that 2/15 of the total journey is 8 kilometers.
Let the total journey distance be T. This means that 2/15 of T is 8km
2/15 * T = 8km
T = ( 8 * 15 )/2 = 120/2 = 60km
9 out of 12 = 9/12 which can be simplified to 3/4. So the team wins 3/4 of its games. 3/4 of 64 = 64 divided by 4 = 16. 16 x 3 = 48.
Answer:
maximum area will be 1058 square yards
maximum height will be 81 feet
Step-by-step explanation:
P = 2L +2W
but in this case it will be P= L+2W and P=92 yards
L+2W = 92
Solve for L , L = 92-2W
The area of rectangle A = L x W
Plug in L and simplify: A = (92-2W)W =92W -2W²
Plot in your calculator and look for maximum so when the width is 23 yards maximum area will be 1058 square yards.
Second problems is the maximum height of the rocket. Maximum will be at the vertex of the upside-down parabola.