A store has 30 boxes of melons each box holds 4 bags. Each bag holds 2 melons. What is the total number of melons in the store
1 answer:
You might be interested in
Hello!
Given the formula for the area of a square is:
<span>A=<span>s2</span></span> where A is the Area and s is the length of the side of the square, we can find the length of one side of the square by substituting and solving:
<span>9<span> in2</span>=<span>s2</span></span>
<span><span>√<span>9<span> in2</span></span></span>=<span>√<span>s2</span></span></span>
<span>3 in=s</span>
<span>s=3 in</span>
Using the Pythagorean Theorem we can find the length of the squares diagonal which is also the diameter of the circle:
The Pythagorean Theorem states:
<span><span>a2</span>+<span>b=</span><span>c2</span></span> where a and b are legs of the triangle and c is the hypotenuse of the right triangle. In this case, both legs of the triangle are sides of the square so the are both the same length. Substituting and solving gives:
<span><span><span>(3i n)</span>2</span>+<span><span>(3i n)</span>2</span>=<span>c2</span></span>
<span>9<span> in2</span>+9<span> in2</span>=<span>c2</span></span>
<span>9<span> in2</span>×2=<span>c2</span></span>
<span><span>√<span>9<span> in2</span>×2</span></span>=<span>√<span>c2</span></span></span>
<span><span>√<span>9<span> in2</span></span></span><span>√2</span> in=c</span>
<span>3 in<span>√2</span>=c</span>
<span>c=3<span>√2</span> in</span>
We can now find the perimeter of the square and the circumference of the circle.
Formula for Perimeter of a square is:
<span>p=4s</span> where s is the length of a side of the square.
Substituting and calculating p gives:
<span>p=4×3 in</span>
<span>p=12 in</span>
Formula for the circumference of a circle is:
<span>c=2πr</span> where r is the radius of the circle.
Or,
<span>c=dπ</span> where d is the diameter of the circle. Remember: <span>d=2r</span>
Substituting and calculating c gives:
<span>c=3<span>√2</span>π in</span>
We can then write the ratio of the circumference to perimeter as:
<span><span><span>3<span>√2</span>π in</span><span>12 in</span></span>⇒</span>
<span><span><span>3<span>√2</span>π in</span><span>124 in</span></span>⇒</span>
<span><span><span><span>√2</span>π</span>4</span></span>
