Answer:
<h2>A = 91 in²</h2>
Step-by-step explanation:
The formula of an area of a trapezoid:
<em>b₁, b₂</em> - <em>bases</em>
<em>h</em><em> - height</em>
<em />
We have <em>b₁ = 20in</em>, <em>b₂ = 6in</em> and <em>h = 7in</em>.
Substitute:
Let the width of the rectangle be W in.
Therefore, length = 2W in
Area of the rectangle, Ar = L*W = 2W*W = 2W^2
Also, perimeter of the rectangle, Pr = 2(L+W) = 2(2W+W) = 2(3W) = 6W
Then, perimeter of square, Ps = 52-6W
And, area of the square, As = [(52-6W)/4]^2 = [13-1.5W]^2 = (13-1.5W)(13-1.5W) = 169-19.5W-19.5W+2.25W^2 = 2.25W^2-39W+169
Therefore,
Total area, At = Ar+As = 2W^2+2.25W^2-39W+169 = 4.25W^2 -39W+169
For maximum area, the first derivative of the total area expression should be zero. Therefore;
dAt/dW = 8.5W - 39 = 0 => 8.5W = 39 => W = 39/8.5 = 4.588 in
Therefore, for maximum area, width (W) should be 4.588 in
The total square footage is 18*12+24*16=600. Buying four tiles at $17 for 4 square feet is the cheapest. The minimum cost is therefore 600/4*$17=$2550.
Answer:
Option D
Step-by-step explanation:
x-axis is the Celsius and
y-axis is the Farenheit
If you look at the points in the table, you will notice that the only graph that contains points (0,32), (10,50), (15,59) is option D. You can assume point (30,86) will also be in the graph by looking at the way the line is going.
This is the same as graphing a line with a point (x,y).
I hope this helps.
Answer:
n(B') = 15
Step-by-step explanation:
Assumunin U is the universal set.
B = { 7,11,17,19}
B' = natural numbers different form 7,11,17 and 19 = {1,2,3,4,5,6,8,9,10,12,13,14,15,16,18}