Answer:
0
Step-by-step explanation:
Let's define 3 areas:
- S = area of semicircle with radius 6 in (diameter AB)
- T = area of quarter circle with radius 6√2 in (radius AC)
- U = area of triangle ABC (side lengths 6√2)
The white space between the "moon" and the triangle has area ...
white = T - U
Then the area of the "moon" shape is ...
moon = S -white = S -(T -U) = S -T +U
The area we're asked to find is ...
moon - triangle = (S -T +U) -U = S -T
__
The formula for the area of a circle of radius r is ...
A = πr²
So, ...
S = (1/2)π(6 in)² = 18π in²
and
T = (1/4)π(6√2 in)² = 18π in²
The difference in areas is S -T = (18π in²) -(18π in²) = 0.
There is no difference between the areas of the "moon" and the triangle.
Answer:
similar = only the angles are the same
congruent = angles and sides are the same
Answer:
8 3/4 below sea level
Step-by-step explanation:
Given that:
Depth of fish at 7:00 A. M = 3 1/2 feets below sea level
Depth at 11:00a.m (4 hours later) = 5 1/4 feets below it's position at 7:00 a. M
Rational number to represent position of fish with respect to the water surface at 11:00 a. M
Position at 11:00 a. M :
Addition of the two depth distances given :
(3 1/2 + 5 1/4)
7/2 + 21/4 = (14 + 21) / 4 = 35 / 4
35/4 = 8 3/4 feets below sea level
x -2y = 2
3x +y = 6 multiplie both sides by 2 => 6x +2y = 12
x -2y = 2
6x +2y = 12
------------------- assum the same terms
7x 0 = 14
x = 14/7
x = 2
