The equation for a equilateral triangle is the side squared times root 3 divided by 4
A. Judy made a mistake between Steps 1 and 2
To factor

, you have to factor it as

, not

, because that will leave an extra 6x because of 8x - 2x.
Answer:
Problem 1) frequency: 160 heartbeats per minute, period= 0.00625 minutes (or 0.375 seconds)
Problem 2) Runner B has the smallest period
Problem 3) The sound propagates faster via a solid than via air, then the sound of the train will arrive faster via the rails.
Step-by-step explanation:
The frequency of the football player is 160 heartbeats per minute.
The period is (using the equation you showed above):

second problem:
Runner A does 200 loops in 60 minutes so his frequency is:
loops per minute
then the period is: 0.3 minutes (does one loop in 0.3 minutes)
the other runner does 200 loops in 65 minutes, so his frequency is:
loops per minute
then the period is:

Therefore runner B has the smaller period
Answer:
r
Step-by-step explanation:
sin is o/h so across from 12 would be the angle r
Answer:
24 ft²
Step-by-step explanation:
The formula to solve for area of a triangle is:
. First multiply the base x height: 12 x 4 = 48. Now multiply by 1/2: 48 x 1/2 = 24. Your answer is 24 ft².
Hope it helps and is correct!