Answer:
Both length and width of 7.25m
Step-by-step explanation:
Let L and W be the length and width of the rectangle, respectively. Since the perimeter is 29, we have the following equation
(L + W)2 = 29
L + W = 29/2 = 14.5
L = 14.5 - W
Also the area of the rectangle would be as the following:
A = LW = W(14.5 - W) = 14.5W - W^2
To find the maximum area possible, we can take the first derivative and set it to 0
A' = 14.5 - 2W = 0
2W = 14.5
W = 14.5 / 2 = 7.25m
L = 14.5 - W = 14.5 - 7.25 = 7.25m
Answer & Explanation Included:
f(x)= 2x - 4
f(5)= 2(5) - 4
f(5)= 10 - 4
f(5)= 6
Answer:
SSS similarity
Step-by-step explanation:
From the smaller triangle to the larger triangle, the ratio of each pair of corresponding sides is 2.
Answer:
$1.918
Step-by-step explanation:
The volume of a right circular cone is obtained using the formular :
V = 1/3πr²h
From the question:
Diameter = 9 inches ; height = 10 inches
Radius = diameter /2 = 9/2 = 4.5 inches
V = 1/3*π*4.5²*10
V = 211.95 in³
Volume in ft³ = 211.95 / 1728 = 0.12265625 ft³
Density of popcorn = 34 ounces / ft³
Density of popcorn CONTAINER = x
1 ft³ = 34 ounce
0.12265625 ft³ = x
Cross multiply
x = 34 * 0.12265625 ft³
x = 4.1703125 ounce
Hence, popcorn continer has a density of 4.1703125 ounce
If price per container = $8
The price per ounce = $8 / 4.1703125
= $1.918
Hence, price per ounce is $1.918
