(area of square) - (area of triangle)
We know the are of a square is equal to s^2, where s is the side length.
While the are of a right angle tringle is 1/2*base*height
Then we have,
s = 10
base = 4
height = 4
(area of square) - (area of triangle)
=> (10^2) - (1/2)(4)(4)
=> 100 - 8
=> 92
Finally we get: 92 in^2
Answer:
in 1/2 hour 1/3 of the page is done
in 1 hour 2/3 of the page is done
in 1 and 1/2 hour 3/3 pages are done
Step-by-step explanation:
Answer:
The next term of the sequence is 42
The perimeter in this case will be:
p=2x+y and we are told that p=84yd so
2x+y=84
y=84-2x
Now for the area:
A=xy, and using y found above in this gives you:
A=x(84-2x)
A=84x-2x^2 now taking the derivatives gives you the velocity and acceleration of the area function...
dA/dx=84-4x and d2A/dx2=-4
Since the acceleration is a constant -4, when velocity is equal to zero it is at the absolute maximum value for the area function...
dA/dx=0 only when 84=4x, x=21
So the maximum possible area will occur when x=21
A(21)=84(21)-2(21^2)
A(21)=882 yd^2
A rational number is a number that can be written as a fraction.
The square root of 34 is equal to ~5.83. This number cannot be written as a fraction.
Pi is not a rational number. Its digits stretch into infinity and it does not have any factors.
The square root of 64 is a rational number. The square root of 64 is 8, which can be written as a fraction, as well as being an integer.
The square root of 102 is equal to ~10.1. This is not a rational number and cannot be written as a fraction.
Therefore, the square root of 64 (Or 8) is a rational number.
<em>Hope this helps! :)</em>
