I'm guessing that you know about 45-45-90 and 30-60-90 triangles.
In 45-45-90 triangles, the legs are in a ratio such that the hypotenuse is 
times the legs.
In 30-60-90 triangles, the legs are in a ratio of 1:
:2
In the picture given we have been given a value of the side of the 45-45-90 triangle. We can deduce that the value of the hypotenuse is 9 because of the ratio of the sides of a 45-45-90 triangle.
The 30-60-90 triangle shares the same hypotenuse, and so we now know a value of one of its sides as well. The ratio of the side of value 'x' and the hypotenuse is : 2
We can create an equation to solve for x using these ratios:
= 
Cross multiply:
2x = 9
x = 
Option C
The radius of the circle is 35 cm
Step-by-step explanation:
One revolution of the wheel of a cart = the length of the circumference of the wheel
Let the radius of the wheel be r cm
The circumference = 2 X pi X r
In 5000 revolutions the wheel covers 2 X pi X r X 5000 cm
According to the problem,
2 X pi X r X 5000 = 11 X 1000 X 100
or, pi X r = (11 X 1000 X 100)/(2 X 5000)
or, r = 110 / pi
or, r = (110 X 7)/22
= 35
Here is the answer.
Answer:
3456
Step-by-step explanation:
Ten times the dimensions is:
4.8 * 10 in by 7.2 * 10 in = 48 by 72 inches
The area is the product of the two numbers:
48*72 = 3456 inches squared
