Im pretty sure that it is the first answer
Answer:
Step-by-step explanation:
Area of the rectangular piece A = xy
x is the length
y is the width
Perimeter =2x+2y
Given
Perimeter = 3044yds
3044 = 2x+2y
1522 = x+y
x = 1522-y
Substitute into the formula for area
A = xy
A = (1522-y)y
A = 1522y-y²
To maximize the area, dA/dy must be zero
dA/dy = 1522-2y
0 = 1522-2y
2y = 1522
y = 1522/2
y = 761
Since x+y = 1522
X+761 = 1522
X = 761
Dimension is 761yd by 761yd
Area = 761×761 = 579121yd²
Answer:
\frac{15a+20b}{6} 15a+20b/6
Step-by-step explanation:
\mathrm{Apply\:the\:fraction\:rule}:\quad \:a\cdot \frac{b}{c}=\frac{a\cdot \:b}{c}
Answer:
12 different types of sandwich could be made.
Step-by-step explanation:
Since I am making a sandwich at the cafeteria where they have 2 kinds of bread, 2 kinds of cheese, and 3 kinds of meat, to determine how many different sandwiches could I make the following calculations must be performed:
Bread x cheese x meat = X
2 x 2 x 3 = X
4 x 3 = X
12 = X
Therefore, 12 different types of sandwich could be made.
Answer:
a. 80.83 ft b. 40.42 ft
Step-by-step explanation:
Let h = height of pole = 70 ft, L = length of cable and x = distance of cable on ground to pole and Ф = angle between cable and ground.
a) How long is the cable?
Since L, h and x form a right-angled triangle with angle Ф and h being the opposite side to Ф and L being the hypotenuse side, by trigonometric ratios,
sinФ = h/L
L = h/sinФ
L = 70 ft/sin60°
L = 70 ft/0.8660
L = 80.83 ft
b) How far from the pole should the cable be attached to the ground?
Since L, h and x form a right-angled triangle with angle Ф and h being the opposite side to Ф and x being the adjacent side, by trigonometric ratios,
tanФ = h/x
x = h/tanФ
x = 70 ft/tan60°
x = 70 ft/1.7321
x = 40.42 ft
