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For the square with side length n, the diagonal measures:
The sidelength of the square is n, and we want to get the length of the diagonal d.
Notice that the diagonal is the hypotenuse of a right triangle whose catheti measure n.
Then we can use the Pythagorean theorem, which says that the square of the hypotenuse is equal to the sum of the squares of the cathetus;
That is the length of the diagonal.
If you want to learn more about right triangles:
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<em>Question:</em>
<em>If one basket contains five bottles each weighing 7 1/4 and the other basket has six apples each weighing 6 1/2 ounces. Which basket is heavier and by how much ?</em>
Answer:
The basket of bottles weighs more than the basket of apples by ounces
Step-by-step explanation:
Given
Required
Determine which basket is heavy
and by how much?
First, we need the total weight of each basket.
For the bottles' basket
For the bottles' basket
By comparing both total weights,
Hence:
The basket of bottles weighs more than the basket of apples
Calculating the difference:
Hence:
It weighs more by ounces