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
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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.
A math teacher opened a window company because he loves seeing shapes or geometrical polygons such as rectagles, squares or quadrilaterals in general as well as triangles in his works. Of course, the math teacher is already familiar with these shapes and how to calculate the angles in between.
Answer:
$420
Step-by-step explanation:
The formula for simple interest is i = prt, where p is the principal, r is the annual interest rate expressed as a decimal fraction, and t is the number of years.
Here p = $2,000, r = 0.07 and t = 3 yr, and so
i = ($2,000)(0.07)(3) = $420 was the amount of interest earned.
3.25 is your answer! When rounding to the nearest hundredth, the third number away from the decimal must be 5-9 to round up, and 4-0 to stay the same
