Volumes are in ratio 27 : 1331
so ratio od individual lengths = cube roots = 3 : 11
and surface areas will be in the ratio 3^2 : 11^2 = 9:121
so surface area of the larger figure is 121 * 18 / 9 = 242 mm^2
The point G on AB such that the ratio of AG to GB is 3:2 is; G(4.2, 2)
How to partition a Line segment?
The formula to partition a line segment in the ratio a:b is;
(x, y) = [(bx1 + ax2)/(a + b)], [(by1 + ay2)/(a + b)]
We want to find point G on AB such that the ratio of AG to GB is 3:2.
From the graph, the coordinates of the points A and B are;
A(3, 5) and B(5, 0)
Thus, coordinates of point G that divides the line AB in the ratio of 3:2 is;
G(x, y) = [(2 * 3 + 3 * 5)/(2 + 3)], [(2 * 5 + 3 * 0)/(2 + 3)]
G(x, y) = (21/5, 10/5)
G(x, y) = (4.2, 2)
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I believe since you are looking for the angle of M<ABC, you just add both 120 and 25 together, since they practically share a point.
So 120 + 25 = 145
So I guess 145 would be your answer.
I remembered this type of problem from Geometry.
Answer:
35 adult tickets were sold
Step-by-step explanation:
If 35 adult tickets were sold, that would be $210
If 22 child tickets were sold, that would be $55
When you add them together, you get 57 tickets and $265.
(I'm sorry I don't know how to explain this but I hope it helped anyway)
The trick to solving problems with mixed units is to convert all of them into one unit or another, so:
There are 12 inches in a foot, so 72 inches = 6 feet.
To find the perimeter of a polygon, sum its sides.
Perimeter = 2 + 5 + 6 = 13 feet.
To find the area of a right triangle (which I assume the one in the picture is), we can use the following equation: A = 0.5 * base * height
There are 3 feet to one yard, so 6 feet = 2 yards.
Area = 0.5 * 2 * 1 = 1 yard^2
