For this case we have the following equation:

Where,
t: time
v: initial speed
s: initial height
Substituting values we have:

By the time the ball hits the ground we have:

From here, we clear the value of time:
Using the quadratic equation we have:

Doing the calculations we have:

Discarding the negative root, we have that the time is:
Answer:
it takes the ball to hit the floor about:
1.15 seconds
Answer:
92.75 cm^2
Step-by-step explanation:
Area of triangle ADC
= (1/2)×4.5×12 = 27
Area of triangle ACB
=(1/2)×12×5 = 30
Find AB using pythagoras theorem on triangle ABC:
AB^2 = 5^2 + 12^2 = 25 + 144
AB^2 = 169
AB = 13cm
Area of triangle AGB
= (1/2)×13×5.5 = 35.75
Total area = sum of the areas of the 3 triangles found above
= 27 + 30 + 35.75 = 92.75 cm^2
The total number of 13-card hands that can be dealt is 52C13. Four of these are of the same suit. Therefore the required probability is given by:
The actual distance between park and movie theater is 68 miles, if the park and movie theater are 3.4 inches apart on a map and the map has a scale of 0.25 inch = 5 miles.
Step-by-step explanation:
The given is,
Park and movie theater are 3.4 inches apart
Map has a scale of 0.25 inch = 5 miles
Step:1
Formula to calculate the number of scales for distance between park and theater,


= 13.6
number of scales for distance between park and theater = 13.6
Step:2
Formula to convert distance inches to miles
× 
= 13.6 × 5
= 68
Actual distance between park and theater = 68 miles
Result:
The actual distance between park and movie theater is 68 miles, if the park and movie theater are 3.4 inches apart on a map and the map has a scale of 0.25 inch = 5 miles.