Answer:
The answer is below
Step-by-step explanation:
a)Given that the length of fencing available is 400 yards. This means that the perimeter of the rectangle is 400 yards.
the perimeter of a rectangle is given as:
Perimeter = 2(length + width) = 2(l + w)
Hence;
400 = 2(l + w)
200 = l + w
l = 200 - w
The area of a rectangle is given as:
Area = length × width
Area = (200 - w) × w
Area = 200w - w²
b) For a quadratic equation y = ax² + bx + c. it has a maximum at x = -b/2a
Hence, for the area = 200w - w² a=-1, b = 200, the maximum width is at:
w = -b/2a = -200/2(-1) = -200/-2 = 100
A width of 100 yard has the largest area
c) l = 200 - w = 200 - 100 = 100 yards
Area = l × w = 100 × 100 = 10000 yd²
The maximum area is 10000 yd²
Answer:
Yes
Step-by-step explanation:
To fins the area if the rectangle you need to find the hypotenuse of the triangles, which are equal. so 10.4 squared plus 15.3 squared is 342.25, and the square root is 18.5.
Then, 18.5 multiplied by 7 is 129.5. Then to fins the area of a triangle you need to do it like a rectangle but in this case, sense there are 2, then just find the area. 129.5+(10.4 times 15.3=159.12)=129.5+159.12=288.62
Answer:
(a) She is 280m from her starting position
(b) 200m west then 80m south
Step-by-step explanation:
(a) 80m + 200m
= 280m
(b) First she walked 80m north n 200 east
If she want to get back to her starting position she will have to travel the same distance in the opposite direction
Opposite of East is West n opposite north is south
so she will have to go 200m west n then 80m south
Here is all my work along with some steps. Hope it helps.
$36
3 dozen oranges is 36 oranges (3 x 12). If each orange costs $1, they cost $36 in total (1 x 36).
