Xy=30
x=6/11
6/11y=30
Divide by 6/11 on both sides
y=55
Answer:
x=4 Inch
Step-by-step explanation:
Length of the Square = 24 Inches
If a Square of Length x cm is cut out from each corner
Length of the Box = 24-x-x=(24-2x) Inches
Width of the Box =24-x-x=(24-2x) Inches
Height of the box = x inches
Volume of a Cuboid = Length X Width X Height
V(x)= x(24-2x)(24-2x)
Simplifying
V(x)=4x(12-x)(12-x)
To determine the value of x at which V is largest, we take the derivative of V(x) and solve for the critical points.
V(x)=4x(12-x)(12-x)

Set the derivative equal to zero to obtain the critical points

x cannot be equal to 12 as it divides the length of the square cardboard into exactly two equal parts.
When x=4
V(4)=4*4(12-4)(12-4)=16*8*8=1024 Cubic Inches
When x=4 Inch, the volume, V of the open box is largest.
24.9 miles/hour = 24.9/60 miles/minute = .415 miles/minute
<span>distance = speed * time </span>
<span>= .415 * 30 = 12.45 miles</span>
Answer:
b or c I'm not for sure
Step-by-step explanation:
hope this helps
Yes, the angles are the same as the shape is smaller, but it will be a different size