(i) x = 3
(ii) y = 6
<u>Explanation:</u>
The two polygons are similar.
The congruent angles are:
∠J ≅ ∠G
∠R ≅ ∠M
∠I ≅ ∠A
∠C ≅ ∠T
∠E ≅ ∠H
Proportional sides are:
(i) Value of x = ?
Putting the values from the figure
(ii) Value of y = ?
On putting the value we get:
![\frac{6}{12} = \frac{x^2-4}{y+4} \\\\6(y+4) = 12(x^2 - 4)\\\\6y + 24 = 12[(3)^2 - 4]\\\\6y + 24 = 12[ 9 - 4]\\\\6y + 24 = 60\\\\6y = 36\\\\y = 6](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B12%7D%20%3D%20%5Cfrac%7Bx%5E2-4%7D%7By%2B4%7D%20%5C%5C%5C%5C6%28y%2B4%29%20%3D%2012%28x%5E2%20-%204%29%5C%5C%5C%5C6y%20%2B%2024%20%3D%2012%5B%283%29%5E2%20-%204%5D%5C%5C%5C%5C6y%20%2B%2024%20%3D%2012%5B%209%20-%204%5D%5C%5C%5C%5C6y%20%2B%2024%20%3D%2060%5C%5C%5C%5C6y%20%3D%2036%5C%5C%5C%5Cy%20%3D%206)
Answer:
The height of the cylinder is 4x units.
Step-by-step explanation:
volume of a cylinder = nr^2h
n = 22/7
r = radius = x/2
Let illustrate with an example. If the diameter of a cylinder is 6 and the volume is 6^3 = 216. The radius = 6/2 = 3
n3^2 x h = 216
h = 216/9 = 24
so the height is 4 times the diameter
Area of the base = nr^2
1/2^2 x x = 1/4 pi x^2
Answer: -7
Step-by-step explanation:
−7
=−7
Answer:
Step-by-step explanation:
The question is asking you to graph the equations.
The equations are in slope intercept form so y=mx+b
M is the slope and b is the y-intercept
First draw the y & x axis and label/number them
The y-intercept for the first equation is -1 so draw a dot on the -1 on the y-axis
The slope is 2/5 and you use rise/run to continue the slope.
you rise 2 on the y-axis and go right 5 times on the x-axis (for a negative number you go left/down)
For the second equation, you have to turn it into slope intercept form.
You should get y=2/3x+3
You graph this equation the same as you did the first one.
