Answer:
the first one
Step-by-step explanation:
A graph showing the Earliest Start Times (EST) for project tasks is computed left to right based on the predecessor task durations. For dependent tasks, the earliest start time will be the latest of the finish times of predecessor tasks.
The first graph appears to appropriately represent the table values, using edges to represent task duration, and bubble numbers to represent start times.
The second graph does not appropriately account for duration of predecessor tasks.
The third graph seems to incorrectly compute task completion times (even if you assume that the edge/bubble number swap is acceptable).
So since she cut up each pizza into 5ths then 5 kids per pizza
5+5+5+5+5+5+5+5+5+5=50
the answer is 50 children
Answer:
(a) 144
(b) 117
(c) 360
(d) 588
(e) 5472
Step-by-step explanation:
To find the LCM of two numbers, first find the prime factorization of each number. Then the LCM is the product of common and not common factors with the larger exponent.
2.
(a)
![72 = 2^3 \times 3^2](https://tex.z-dn.net/?f=72%20%3D%202%5E3%20%5Ctimes%203%5E2)
![144 = 2^4 \times 3^2](https://tex.z-dn.net/?f=144%20%3D%202%5E4%20%5Ctimes%203%5E2)
![LCM = 2^4 \times 3^2 = 8 \times 9 = 144](https://tex.z-dn.net/?f=LCM%20%3D%202%5E4%20%5Ctimes%203%5E2%20%3D%208%20%5Ctimes%209%20%3D%20144)
(b)
![39 = 3 \times 13](https://tex.z-dn.net/?f=39%20%3D%203%20%5Ctimes%2013)
![117 = 3^2 \times 13](https://tex.z-dn.net/?f=117%20%3D%203%5E2%20%5Ctimes%2013)
![LCM = 3^2 \times 13 = 117](https://tex.z-dn.net/?f=LCM%20%3D%203%5E2%20%5Ctimes%2013%20%3D%20117)
(c)
![72 = 2^3 \times 3^2](https://tex.z-dn.net/?f=72%20%3D%202%5E3%20%5Ctimes%203%5E2)
![90 = 2 \times 3^2 \times 5](https://tex.z-dn.net/?f=90%20%3D%202%20%5Ctimes%203%5E2%20%5Ctimes%205)
![LCM = 2^3 \times 3^2 \times 5 = 360](https://tex.z-dn.net/?f=LCM%20%3D%202%5E3%20%5Ctimes%203%5E2%20%5Ctimes%205%20%3D%20360)
(d)
![84 = 2^2 \times 3 \times 7](https://tex.z-dn.net/?f=84%20%3D%202%5E2%20%5Ctimes%203%20%5Ctimes%207)
![147 = 3 \times 7^2](https://tex.z-dn.net/?f=147%20%3D%203%20%5Ctimes%207%5E2)
![LCM = 2^2 \times 3 \times 7^2 = 588](https://tex.z-dn.net/?f=LCM%20%3D%202%5E2%20%5Ctimes%203%20%5Ctimes%207%5E2%20%3D%20588)
(e)
![152 = 2^3 \times 19](https://tex.z-dn.net/?f=152%20%3D%202%5E3%20%5Ctimes%2019)
![288 = 2^5 \times 3^2](https://tex.z-dn.net/?f=288%20%3D%202%5E5%20%5Ctimes%203%5E2)
![LCM = 2^5 \times 3^2 \times 19 = 5472](https://tex.z-dn.net/?f=LCM%20%3D%202%5E5%20%5Ctimes%203%5E2%20%5Ctimes%2019%20%3D%205472)
Answer:
They are identical triangles.
Step-by-step explanation:
Angles in a triangle add up to 180 degrees.
The triangle with 39 and 90 has a missing angle of 51 degrees, and the triangle with 51 and 90 vice versa.
The answer is 7 feet becaise 0 opp ik