Answer:
It's position at time t = 5 is 593.
Step-by-step explanation:
The velocity v(t) is the integral of the acceleration a(t)
The position s(t) is the integral of the velocity v(t)
We have that:
The acceleration is:
Velocity:
K is the initial velocity, that is v(0). Since V(0) = 13, K = 13
Then
Position:
Since s(0) = 3
What is its position at time t=5?
This is s(5).
It's position at time t = 5 is 593.
Answer:
<u>11098 cm³</u>
Step-by-step explanation:
<u>Volume of top prism</u>
- V = 62 x 3 x (13 - 7)
- V = 186 x 6
- V = 1116 cm³
<u>Volume of bottom prism</u>
- V = 62 x 23 x 7
- V = 1426 x 7
- V = 9982 cm³
⇒ Total volume = Volume (top) + Volume (bottom)
⇒ Total volume = 1116 + 9982
⇒ Total volume = <u>11098 cm³</u>
I'm not really sure about this math but I tried to answer it for you
1)Convert 11 hours to minutes = 660 minutes. 11 hours x 60 mins=660
2)Add the 18 minutes to 660 =678 minutes
3) 678 divided by 60 mins = 11.3 hours, but we still have the 36 seconds remaining so I didn't exactly divide 678 minutes by 60, but I divided 678.36 by 60 which gave me 11.306 hours.
That's it I truly apologise if this is wrong. But if you figure out the right method please show me and others who may have done it this way or another way, so please share. GOOD LUCK.
Add the pic and I’ll be able to answer it
The Law of Cosines features the 3 side lengths of a triangle, plus the measure of the angle opposite one of those sides.
We want angle x, which is opposite the side of length 39.
Then: a^2 = b^2 - 2ab cos C becomes 39^2 = 36^2 + 59^2 - 2(36)(59)cos x
or 1521 = 3481 + 1296 - 2(36)(59) cos x
Subtract (3481+1296) from both sides: 1521 - 4777 = -4248cos x
-3256 = -4248cos x
-3256
Then: cosx = --------------- = 0.766
-4248
Solving for x: x = arccos -0.766 = 0.698 radian, or 40 degrees (answer)
