(-102.75) ÷(-3) round to the nearest hundredth
2 answers:
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Theoretically, the number of the vertex comes at the top must be equal for infinitely many numbers of trials, but it's a tedious job to roll the dice for a large number of times. Rolling the tetrahedron only 10 times will not predict the correct result.
Han suspects that this tetrahedron is weighted in some way to make 1 appear more often than the other numbers.
So, check his suspect experimentally with the help of the concept of center of mass. A fair tetrahedron must have the center of mass at the center of the body.
The given tetrahedron has 4 equilateral triangular faces, so at first, measure all the sides of triangular faces and make sure that all are having the same length.
Then, conduct an experiment to check the location of the center of mass.
Hang the tetrahedron by attaching a thin string at the vertex 1 as shown in the figure and observe the base surface ( triangle 234) whether it is parallel to the ground or not.
Now, repeat the same by hanging it with vertices 2, 3, and 4 and observe the base surface.
For the center of mass to be located at the center of the tetrahedron, the base must be parallel to the ground (flat ground).i.e the hanging string must be perpendicular to the base for all the four cases.
If this is so, then the tetrahedron is a fair tetrahedron otherwise not.
We use algebraic equations in our daily lives without knowing it. For example, when we go shopping, calculate grocery expenses, or even fill our gas tanks, we are using equations. Let's say we needed to fill our gas tank, but we only had $15.00 to do so. If the price of gas is $3.00 per gallon, how many gallons could we buy? We use the simply algebraic equation of 
to calculate the total gallons that can be bought. x = the money we have. y = price per gallon of gas. 
= 5. So with $15.00, we can buy 5 gallons of gas; and that is just one example of using an algebraic equation in everyday life!