We would divide the shape into a rectangle and a trapezium
The rectangle is of length, 24.5 ft and width 10.75 ft
Area = 24.5 * 10.75 = 263.375 square feet.
Trapezium : Parallel sides are 18.5 ft and 24.5 ft
Height: 12 - 10.75 = 1.25ft
Area of Trapezium = (1/2)*(Sum of Parallel sides)*height
= 1/2 * (18.5+24.5)* 1.25
= 1/2 * 43* 1.25 = 26.875
Total Area = Area of Rectangle + Area of Trapezium
= 263.375 + 26.875 = 290.25
Area = 290.25 ft² (D)
Answer:
Step-by-step explanation:
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Answer:
18 pounds of cashews are needed.
Step-by-step explanation:
Given;
A manager bought 12 pounds of peanuts for $30.
Price of peanut per pound P = $30/12 = $2.5
Price of cashew per pound C = $5
Price of mixed nut per pound M = $4
Let x represent the proportion of peanut in the mixed nut.
The proportion of cashew will then be y = (1-x), so;
xP + (1-x)C = M
Substituting the values;
x(2.5) + (1-x)5 = 4
2.5x + 5 -5x = 4
2.5x - 5x = 4 -5
-2.5x = -1
x = 1/2.5 = 0.4
Proportion of cashew is;
y = 1-x = 1-0.4 = 0.6
For 12 pounds of peanut the corresponding pounds of cashew needed is;
A = 12/x × y
A = 12/0.4 × 0.6 = 18 pounds
18 pounds of cashews are needed.
Answer:
Step-by-step explanation:
The standard form of a circle's equation is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius. To convert an equation to standard form, you can always complete the square separately in x and y.
y/x-2=3/11 would be easier to work with if we were to put it into a more standard form, e. g., y = mx + b.
First, add 2 to both sides, to isolate y/x:
y/x = 3/11 + 22/11 = 25/11.
Next, mult. both sides by x, to get y by itself: y = (25/11)x.
This is your function.
Now make a table. You can choose any x values you want, and then calculate y for each one.
x y
0 0
1 25/11
3 (25/11)*3 = 75/11
Then we have three points on this line: (0,0), (1, 25/11), 3, 75/11). You could obtain more by choosing additional x values.
