Its a rate with 1as the second term
Answer:
33 1/3% decrease
Step-by-step explanation:
The original area is (6in)(10in) = 60 in². The reduced area is (5in)(8in) = 40 in². Then the change in area is ...
((new value)/(old value) -1) × 100%
(40/60 -1)×100% = -1/3×100% = -33 1/3%
The area decreased by 33 1/3%.
Below is the answer:
Any rectangle with a side against y-axis can be rotated about y-axis to create a cylinder.
<span>The other 3 coordinates will be (a, 3), (a, b), (0, b) </span>
<span>This will be a cylinder of radius a and height |3−b|</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
It goes up each time bc its 2x2 is r 3x3 is 9 4x4 is 16 and 5x5 is 25. its each number time each number and it goes up 1 everytime. what are the options ?
