Irrational numbers are numbers that can not be written<span> as a ratio of two integers. (example: square root of 2). Rational numbers on the other hand can be written as a ratio, as decimal or percentage.
If X is a irrational number, than the number Y=1-X is also irrational and the sum of these two irrational numbers is: X+Y=X+1-X=1 is rational number.
So, the sum of two irrational numbers can be a rational number. </span>
The answer is diameter: 32 in, area: 64 in²
The perimeter of a sector of a circle is:
P = 2r + l
l = r<span>θ
P = 2r + r</span>θ<span>
P = 32 in
32 = 2r + r</span><span>θ
</span>32 - 2r = r<span>θ
</span>θ = (32 - 2r)/r
θ = (2*16 - 2*r)/r
θ = 2(16 - r)/r<span>
Area of the sector of the circle is:
A = r</span>²/2 * θ
A = r²/2 * 2(16 - r)/r
A = r² * (16 - r)/r
A = r(16 - r)
A = 16r - r²
For the maximum area:
A' = 16 - 2r
A' = 0
16 - 2r = 0
16 = 2r
r = 8 in
The diameter (D) of the circle is twice of the radius:
D = 2r = 2 * 8 = 16 in
The maximum area is:
A = 16r - r²
r = 8 in
A = 16 * 8 - 8²
A = 128 - 64
A = 64 in²
Answer:
Alright
it would be 1/4(1/2w)
Step-by-step explanation:
1/4 times 1/2 times w which is the amount of walnuts
1/2 times 1/4 equal 0.125
1/8
Answer:
x=11/5
Step-by-step explanation:
Firstly you should transfer the denominator to the RHS from LHS
So you'll get
2x+1=3(-x+4)
so now
2x+1=12-3x
2x+1+3x=12
5x+1=12
5x=12-1
5x=11
x=11/5
