Answer:
Step-by-step explanation:
(x-3)/(x+4) = x/(x+10)
(x-3)(x+10) = x(x+4)
x²+7x-30 = x²+4x
3x = 30
x = 10
Side Angle Side Postulate. The Side Angle Side postulate (often abbreviated as SAS) states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.
Given:
The radius of smaller cylinder is 2 m.
The radius of larger cylinder is 8 m.
The height of smaller cylinder is 14 m.
Both cylinders are similar.
To find:
The height of larger cylinder.
Solution:
It is given that the both cylinders are similar to each other.
We know that the corresponding sides of similar figure are proportional.
Let height of the larger cylinder is .
On cross multiplication, we get
Therefore, the height of the larger cylinder is 56 m.
Multiply each side by 6 to get rid of the fraction. 96/2 = 48
Since the area of a circle is π
, and our radius is 9 we know the total area to be 254.469, and the ratio of sector area to total area is 169.56/254.469 = .6663. There are 360 degrees in a circle, so:
≈ 240°
240 degrees