Here, triangle AEN and ALG are similar.
We know that the ratio of corresponding sides of two similar triangles are equal. So,
First, find the area of the whole square.
Area= Base times height= 48 times 96 = 4608
Next, find the area of ONE circle. The diameter is 12, so the radius would be 6
A=πr sqaured= 3.14 times 6 squared = 113.04
Next multiply by 3, since there are 3 circles.
113.04 times 3 =339.12
Subtract this value from the total area (4608)
4608-339.12=4268.88
ANSWER: 4268.88
Equally divide 56 into 2 halves. 28 liters. 28 liters for muffins and 28 liters for cakes.
(muffins require 7 liters) 28÷7= 4
(cakes require 4 liters) 28÷4=7
x= 4 batches of muffins
y= 7 batches of cakes.
The television set has a rectangular shape. The diagonal of this rectangle along with its width and length together form a right angular triangle.
This means that we can apply the Pythagorean theorem which states that:
(diagonal)^2 = (length)^2 + (width)^2
Let the width be w. We know that the length is 0.75 times the width, this means that: length = 0.75 w
Substitute in the above equation:
(20)^2 = (0.75w)^2 + (w)^2
400 = 0.5625 w^2 + w^2
400 = 1.5625 w^2
w^2 = 256
w = 16
This means that the width of the screen is 16 in.
