Answer:
the graph is in the attachment.
the coordinates of the centroid : (2/3,2/3)
Step-by-step explanation:
- y=0 represents x-axis ( you can easily mark it on the graph)
- now draw x=1 line.( It is a line parallel to y axis and passing through the point (1,0) )
- y=2x is a line which passes through origin and has a slope "2"
by using these sketch the region.
I have uploaded the region bounded in the attachment. You may refer it. The region shaded with grey is the required region.
it can be easily identified that the formed region is a triangle
- the coordinates of three vertices of the triangle are
(1,2) , (0,0) , (1,0)
( See the graph. the three intersection points of the lines are the three vertices of the triangle)
- for general FORMULA, let the coordinates of three vertices of a triangle PQR be P(a,b) , Q(c,d) , R(e,f)
- then the coordinates of the centroid( let say , G) of the triangle is given by
G = ![(\frac{a+c+e}{3} , \frac{b+d+f}{3} )](https://tex.z-dn.net/?f=%28%5Cfrac%7Ba%2Bc%2Be%7D%7B3%7D%20%20%2C%20%5Cfrac%7Bb%2Bd%2Bf%7D%7B3%7D%20%29)
- therefore , the exact coordinates of the centroid =
this point is marked as G in the graph uploaded.
Answer:
= 22.5°
= 67.5°
Step-by-step explanation:
Let’s create a system of equations for
and
.
Complementary angles are two angles that add up to 90°, so ![f+g=90](https://tex.z-dn.net/?f=f%2Bg%3D90)
Also,
is thrice of g: ![f=3g](https://tex.z-dn.net/?f=f%3D3g)
We can now substitute
in
for
.
![3g + g = 90\\\\4g = 90\\\\g=22.5](https://tex.z-dn.net/?f=3g%20%2B%20g%20%3D%2090%5C%5C%5C%5C4g%20%3D%2090%5C%5C%5C%5Cg%3D22.5)
Now, we can find
by substituting
into either equation.
![f + 22.5 = 90\\\\f = 90-22.5\\\\f = 67.5](https://tex.z-dn.net/?f=f%20%2B%2022.5%20%3D%2090%5C%5C%5C%5Cf%20%3D%2090-22.5%5C%5C%5C%5Cf%20%3D%2067.5)
Hope this helped!
Answer: Ina fraction it could just be 2/9 in a decimal it is 0.22222222222
Step-by-step explanation: with the fraction 2 divided by nine is 2/9 simple as that. When you have a nine like that in the denominator take whatever number is the numerator, put 0 and a decimal point, and then just repeatedly press whatever the numerator is. Except for 9/9 then you just say 1. Hope this helped.
Answer:
5
Step-by-step explanation:
A 30-60-90 triangle's sides equal as follows:
Hypotanuse= x (a number)
Long side= x/2( also can be calculated as x* 1/2) * ![\sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D)
Short side = x/2 or x * 1/2
Answer:
C
Step-by-step explanation:
the answer is C because the pattern adds a row and a column each time