Find the circumference:
Circumference = 2 x pi x radius
Circumference = 2 x 3.14 x 9 = 56.52 inches
the arc length is 45 degrees/360 degrees of the circumference.
Marc length = 56.52 x 45/360 = 7.065 inches
Rounded to the nearest tenth = 7.1 inches
Answer:
infinitely many solutions.
Step-by-step explanation:
y=4x
y-4=4 (x-1)
Lets substitute the first equation into the second equation.
4x -4 = 4(x-1)
Distribute
4x-4 = 4x-4
Subtract 4x from each side
4x-4x-4 =4x-4x-4
-4=-4
This is always true. X can be anything. We have infinite solutions
27 multiplied by 10 will give you the answer. 27 x 10 = 270.
Q=(c+d)/2
Multiply both sides by 2 to get rid of the 2
2×q=(c+d)
Subtract c from both sides to get rid of the c
2×q-c=d
Flip the equation around
d=2×q-c
<h2>
Hello!</h2>
The answer is:
The first option:

<h2>
Why?</h2>
From the statement, we know the dimensions of the box, and the length of the sides to be cut (x).
So,
Working with the length of the box, we have:
Let be 8 the length of the cardboard for the length of the box, so, if we cut out the side of length "x", we have:

Now,
Working with the width of the box, we have:
Let be 6 the length of the cardboard for the width of the box, so, if we cut out the side of length "x", we have:

Now that we already know the length and the width of the box, we know that the bottom of the box will have the same length "x", so, the greatest possible volume of the cardboard box will be:

Have a nice day!