Answer:
1) A point P is named or labeled by using a coordinate pair, where the regular notation is:
P = (x, y).
Where x and y are the horizontal and vertical components.
2) Three distinct points are collinear if exists a line that passes through the 3 points.
3) Three distinct points are complanar if they are not collinear, this means that:
We can have two colinear points (so one line connects them) and another point outside that line.
Then the set of 3 points is coplanar.
stated method in question is wrong!
<u>Step-by-step explanation:</u>
We need to find the general solution of x ! for the equation ![tan x + tan 2x = 0](https://tex.z-dn.net/?f=tan%20x%20%2B%20tan%202x%20%3D%200)
⇒ ![tan x + tan 2x = 0](https://tex.z-dn.net/?f=tan%20x%20%2B%20tan%202x%20%3D%200)
⇒ ![(tan x + tan 2x)-tan2x = 0-tan2x](https://tex.z-dn.net/?f=%28tan%20x%20%2B%20tan%202x%29-tan2x%20%3D%200-tan2x)
⇒ ![tan x = -tan2x](https://tex.z-dn.net/?f=tan%20x%20%3D%20-tan2x)
Now , we know that
⇒ ![tan x = -tan2x](https://tex.z-dn.net/?f=tan%20x%20%3D%20-tan2x)
⇒ ![tan x = tan(\pi -2x)](https://tex.z-dn.net/?f=tan%20x%20%3D%20tan%28%5Cpi%20-2x%29)
Now , we know that ![TanA = TanB \\A=B](https://tex.z-dn.net/?f=TanA%20%3D%20TanB%20%5C%5CA%3DB)
⇒ ![tan x = tan(\pi -2x)](https://tex.z-dn.net/?f=tan%20x%20%3D%20tan%28%5Cpi%20-2x%29)
⇒ ![x = \pi -2x](https://tex.z-dn.net/?f=x%20%3D%20%5Cpi%20-2x)
⇒ ![3x = \pi](https://tex.z-dn.net/?f=3x%20%3D%20%5Cpi)
⇒
......(1)
General solution of Tan x is :
, \
Here , from equation (1) we get
. Hence general solution is :
⇒
.Therefore , stated method in question is wrong!
Answer:
LAST OPTION:
Step-by-step explanation:
For this exercise you need to remember that the volume of a cylinder can be calculated with the following formula:
![V=\pi r^2h](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E2h)
Where "r" is the radius and "h" is the height of the cylinder.
In this case, you know that the height of this cylinder and its volume are the following:
![V=178 \pi\ in^3\\\\r=8\ in](https://tex.z-dn.net/?f=V%3D178%20%5Cpi%5C%20in%5E3%5C%5C%5C%5Cr%3D8%5C%20in)
Knowing these values you can substitute them into the formula shown above:
(CORRECT FIRST STEP)
Now you can solve for "h" by dividing both sides of the equation by
. Therefore, you get:
![\frac{178 \pi}{\pi (8)^2}=\frac{\pi (8)^2h}{\pi (8)^2}\\\\h=2.78\ in](https://tex.z-dn.net/?f=%5Cfrac%7B178%20%5Cpi%7D%7B%5Cpi%20%288%29%5E2%7D%3D%5Cfrac%7B%5Cpi%20%288%29%5E2h%7D%7B%5Cpi%20%288%29%5E2%7D%5C%5C%5C%5Ch%3D2.78%5C%20in)
<em> I </em>hope you find this useful, Mark as Brainliest please, it's very much appreciated.
Explanation:
In one minute, Diego can type 35 words;140÷4
At this rate, it will take him 11 minutes to type 385 words;385÷35
Therefore, he can type 525 words in 15 minutes; 35×15
Answer:
c
Step-by-step explanation:
5 is added to -5 to make sum zero