Equilateral triangles have interior angles of measure 60º. AL bisects angle MAY, so triangle ALY has angles 30º, 60º, and 90º. This means AY and LY occur in a ratio of √3 to 1. AY is half of AN, so AY = 9 and LY = 9/√3 = 3√3.
We can split up triangle MAN into 6 triangles with the same area as ALY, whose area is
1/2 * AY * LY = 1/2 * 9 * 3√3 = (27√3)/2
so that MAN has area
6 * (27√3)/2 = 81√3, or about 140.296.
Alternatively, we can observe that ML has the same length as AL, which by the Pythagorean theorem has length
AL = √(AY^2 + LY^2) = 6√3
Then MAN has area
1/2 * AN * (ML + LY) = 1/2 * 18 * (6√3 + 3√3) = 81√3
All circles are similar shapes.
However, we can prove that these circles are similar by finding their radius-circumference ratios.
<h2>Circle B</h2>
Radius:
Circumference:
Radius/circumference ratio:
<h2>Circle D</h2>
Radius:
Circumference:
Radius/circumference ratio:

The radius/circumference ratio for both the circles is
, thus making the two circles similar.
Because they have like-exponents (the exponents of the x is the same number, x^6) you can treat both values sort of like whole numbers. 512x^16 + 1x^16 making it 513x^16. Same thing with the y, it should be 1y^14+ 1y^14 = 2y^14
Answer:
252
Step-by-step explanation:
9 x 28 = (9 x 20) + (9 x 8)
9 x 20 = 180
9 x 8 = 72
180 + 72 = 252
9 x 28 = 252
(hope this helps can I pls have brainlist (crown) ☺️)
184^2+b^2= 545^2
33856+ b^2= 297,025
b^2= 263169
b= 513
The length is 513 ft