Answer:
Step-by-step explanation:
I see you're in college math, so we'll solve this with calculus, since it's the easiest way anyway.
The position equation is
That equation will give us the height of the rock at ANY TIME during its travels. I could find the height at 2 seconds by plugging in a 2 for t; I could find the height at 12 seconds by plugging in a 12 for t, etc.
The first derivative of position is velocity:
v(t) = -3.72t + 15 and you stated that the rock will be at its max height when the velocity is 0, so we plug in a 0 for v(t):
0 = -3.72t + 15 and solve for t:\
-15 = -3.72t so
t = 4.03 seconds. This is how long it takes to get to its max height. Knowing that, we can plug 4.03 seconds into the position equation to find the height at 4.03 seconds:
s(4.03) = -1.86(4.03)² + 15(4.03) so
s(4.03) = 30.2 meters.
Calculus is amazing. Much easier than most methods to solve problems like this.
I believe you just multiply the two numbers together and get 2.665
Answer:
q10, vertically opp angles
q11, corresponding angles
Step-by-step explanation:
Topic: angle properties
If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!
Each inch in the map is equivalent to 8 miles.
Explanation:
There is a distance of 24 miles between two parks. This 24 miles is represented by an 8-inch gap in the map.
So 8 inches on that particular map = 24 miles in real life.
To find the distance that an inch on the map represents we must divide both sides of the above equation. Since we need to calculate how much distance 1 inch represents we divide both the sides by 8 so that 8 inches on the map changes into 1 inch.
inches on the map = 
miles between the two parks in real life,
1 inch on that particular map = 3 miles in real life.
So each inch on the given map is equal to 8 miles in real life.
The area of the wings of the model is 100000 square centimeters
<h3>How to determine the model area of the wings?</h3>
The given parameters are:
Scale factor, k = 1/2
Actual area of wings, A = 40 square meters
The model area is calculated as
Model area = Actual area * k^2
This gives
Model area = 40 * (1/2)^2
Evaluate
Model area = 10 square meters
Convert square meters to square centimeters
Model area = 10 * 10000 square centimeters
Evaluate
Model area = 100000 square centimeters
Hence, the area of the wings of the model is 100000 square centimeters
Read more about scale ratios at:
brainly.com/question/16192120
#SPJ1
