Answer:
opposite angles
Step-by-step explanation:
Answer:
<em>28 ; 76 ; 38</em>
Step-by-step explanation:
<em>KL</em> =
=
= <em>28</em> units
<em>YZ</em> = 2 × JK = 38 × 2 = <em>76</em> units
<em>LZ</em> = 76/2 = <em>38</em> units
Use this website https://nrich.maths.org/2281
Answer:
44.18 cubic unit
Step-by-step explanation:
The intersection of the curve
and
is




Since we are rotating the region where
we will use the intersection x = 2 and y = 4
Using the shell method with x ranges from 0.5 to 2. The volume of the shell would be

where h is the difference between the y-coordinates of the curves, in other words

Plug h into the V integral and we have
![V = \int\limits^2_{0.5} {2\pi x (8 - 2x^2)} \, dx\\V = 4\pi\int\limits^2_{0.5} {(4x - x^3)} \, dx\\V = 4\pi[2x^2 - x^4/4]^2_{0.5}\\V = 4\pi(2*2^2 - 2^4/4 - 2*0.5^2 + 0.5^4/4)\\V = 4\pi(8 - 4 - 0.5 + 0.015625) \approx 44.18](https://tex.z-dn.net/?f=V%20%3D%20%5Cint%5Climits%5E2_%7B0.5%7D%20%7B2%5Cpi%20x%20%288%20-%202x%5E2%29%7D%20%5C%2C%20dx%5C%5CV%20%3D%204%5Cpi%5Cint%5Climits%5E2_%7B0.5%7D%20%7B%284x%20-%20x%5E3%29%7D%20%5C%2C%20dx%5C%5CV%20%3D%204%5Cpi%5B2x%5E2%20-%20x%5E4%2F4%5D%5E2_%7B0.5%7D%5C%5CV%20%3D%204%5Cpi%282%2A2%5E2%20-%202%5E4%2F4%20-%202%2A0.5%5E2%20%2B%200.5%5E4%2F4%29%5C%5CV%20%3D%204%5Cpi%288%20-%204%20-%200.5%20%2B%200.015625%29%20%5Capprox%2044.18)
Answer: According to such dissemination, the commission of the vehicle by the fifth (i) and eighth (ii) year are identified as i. $19,762.50 and ii. $16,320.00.
Step-by-Step Explanation:
The depreciate standard deviation is invariant as it does not vary, albeit, given the configurations of the interrogate, fabricating the product of the depreciate and the annuals elapsed is necessary to evaluate for the estimated cost of the vehicle within subsequent years.
5th Year:
4.5(5) = 22.5%
25,500 - 22.5% = $19,762.50 USD.
8th year:
4.5(8) = 36%
25,500 - 36% = $16,320.00 USD.
Thus far, such proposed retorts are in the accordance of the depreciate and the commission per vehicle.
*I hope this helps.