Answer:
45.05 seconds
Step-by-step explanation:
Use the formula: d = v
t + 
a
d = distance v = initial velocity (m/s)
t = time (s) a = acceleration (m/
)
m is meters and s is seconds. They are units of measurement so leave them be.
Assuming the object is simply dropped, the initial velocity is 0 since the object was not moving before it was dropped.
The distance is 725 feet, which is 220.98 meters.
The acceleration is 9.81m/ since that is the acceleration of Earth's gravity, aka free fall.
Time is what we are trying to find so just leave it as the variable t.
So plug the values into the equation:
220.98m = (0)(t) + (9.81m/)(t)
220.98m = (4.905m/)(t)
45.0519877676s = t
t = 45.05s
Remember to pay attention to units because your answer will be wrong otherwise
Answer:
12x + 2
Step-by-step explanation:
Let the number be represented by x.
Then five times the number = 5*x
Seven times the number = 7*x
Sum of 5 times the number minus -2 = ![\[5*x - (-2)\]](https://tex.z-dn.net/?f=%5C%5B5%2Ax%20-%20%28-2%29%5C%5D)
= ![\[5x +2\]](https://tex.z-dn.net/?f=%5C%5B5x%20%2B2%5C%5D)
Adding seven times the number to this expression yields, ![\[5x+2+7x\]](https://tex.z-dn.net/?f=%5C%5B5x%2B2%2B7x%5C%5D)
![\[= (5+7)x+2\]](https://tex.z-dn.net/?f=%5C%5B%3D%20%285%2B7%29x%2B2%5C%5D)
![\[= 12x+2\]](https://tex.z-dn.net/?f=%5C%5B%3D%2012x%2B2%5C%5D)
So the simplified expression corresponds to 12x + 2.
Domain: All real numbers
Range: All real numbers
Since the function is linear it is a continuous straight line meaning that the domain and range are all real numbers.
Answer:
A
Step-by-step explanation:
this is true due to the ratio of a 30-60-90 triangle, which is 1-2-sqrt(3). The 12 corresponds to the sqrt(3), which means that the 1 corresponds to 4sqrt3 and the 2 to 8sqrt3.
:)
Answer:
BF = 18
Step-by-step explanation:
In triangle BCD, H is the Centroid.
Centroid of a triangle divides the median in the ratio 2 : 1.
Therefore, BH : HF = 2 : 1
Let BH = 2x & HF = x
Since, HF = 6.... (given)
So, x = 6
2x = 2*6 = 12
BH = 12
Now,
BF = BH + HF = 12 + 6
BF = 18
