An open box will be made from a rectangular piece of cardboard that is 8 in. by 10 in. The box will be cut on the dashed red lin
es, removing the corners, and then folded up on the dotted lines. What is the MAXIMUM possible volume for the box?
1 answer:
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Following expressions will have negative product
Following expressions will have positive product
Further explanation:
We will see at each expression one by one
First expression is:
In the given expression one term is positive and one term is negative. The product of negative and positive terms is negative.
Second Expression is:
Both terms are negative and the product of two negative terms is positive.
Third Expression is:
The expression has one positive and one negative term so the product will be negative
Fourth Expression is:
Both terms are positive so the product will also be positive
Keywords: Product, Expressions
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Answer:
13 +
or
22.43398... (depends on how you round it)
Step-by-step explanation:
1. The question stated that the radius of the circle O is 5, so the length of AO and CO is 5.
2. Since line AB and line CB are both tangent to the circle, they have the same length. CB is 8, so AB will also be 8.
--> Both triangle AOB and COB share one side, and the other side (radius) has the same length, so the third side must be the same length
3. Tangent means having a 90-degree angle with the radius. We know that the triangle AOB is a right triangle since the angle OAB is 90 degrees.
We can use the Pythagorean theorem to find side OB. OB^2 = AO^2 + AB^2.
--> OB^2 = 25 + 64
--> OB^2 = 89
--> OB =
Now that we know the lengths of all three sides, we can add them up.
--> 5 + 8 +
--> 13 +
or
--> 22.43398113....