Answer:
A = 34.84
Step-by-step explanation:
6.7 * 5.2 = 34.84
X% peans for every 100 objects, there are x objects.
Answer:
3
Step-by-step explanation:
sqrt9 = 3
Step-by-step explanation:
The quadratic equation is x² + (p - 5)x + 2q = 0.
By Vieta's Formula,
we have SOR = -b/a and POR = c/a.
=> (-3) + (6) = -(p - 5) and (-3)(6) = 2q.
=> 3 = 5 - p and -18 = 2q
Hence, p = 2 and q = -9.
Alternate Method:
We have (x + 3) and (x - 6) as factors of the quadratic equation x² + (p - 5)x + 2q = 0.
=> (x + 3)(x - 6) = x² - 3x - 18.
By Comparing Coefficients,
(p - 5) = -3 and 2q = 18.
Hence p = 2 and q = -9.
To solve this we are going to use the free distance fallen formula:

where

is the distance

is the gravity of Earth


is the time in seconds
We know from our problem that the
penny fell off the top of the building and hit the sidewalk below 3.1 seconds later, so

. Lets replace the value in our formula:



meters
We can conclude that the penny fell a distance of 47.098 meters