x = 112
This is because
<span>4/7x = 64 </span>
<span>7/4 x 4/7 = 64/1 x 7/4 </span>
<span>1x= 448/4 </span>
<span>
x = 112 </span>
Answer:
x = 28 cm
Step-by-step explanation:
Given:
Area of link shaded regions = 84 cm²
Required:
The value of x (diameter of the semicircle/length of the rectangle)
Solution:
Diameter of the semicircle = 2r = x
Length of rectangle (L) = 2r = x
Radius of semicircle (r) = ½x
Width of rectangle (W) = radius of semicircle = ½x
Use 3.14 as π
Area of the link shaded regions = area of rectangle - area of semicircle
Thus:
Area of the link shaded regions = (L*W) - (½*πr²)
Plug in the values
84 = (x*½x) - (½*3.14*(½x)²)
84 = x²/2 - (1.57*x²/4)
84 = x²(½ - 1.57/4)
84 = x²(0.5 - 0.3925)
84 = x²(0.1075)
Divide both sides by 0.1075
84/0.1075 = x²
781.4 = x²
√781.4 = x
27.9535329 = x
x = 28 cm
8/0.61=13.114… then round if needed
Answer:
Step-by-step explanation:
Let X be number of woodland bicyles and Y grande expedition
Our objective is to maximize profit
Z = 250x+350Y
Constraints are: 2x+3y<450 and
x+y<375
(given)
Solution gives negative y. Hence intersecting point is not within constraint.
So choices satisfying the constraints would be min of 225, 375 for x and min of 150,375 for x
i.e x=225 and y =150
To maximize revenue 225 Woodland and 150 Grande to be produced
Answer:
65 3 46
Step-by-step explanation: