Question

Three faces of a tetrahedron are perpendicular to each other. Show that the sum of squares of the areas of these three faces is equal to the area of the third face

Answer #1

Sorry for the inconvenience.

I had written something wrong in some places. Hence I had erased them.

Determine the number of distinct colorings of the four faces of
the tetrahedron, where each face is a color from the set { orange,
purple, black}

Let
V denote the volume of a tetrahedron a, b, c the lengths of the
three sides of one of its faces, and assume that each edge of the
tetrahedron is equal in length to the opposite edge. Express V in
terms of a, b, and c

When three dice are rolled, gamblers noticed that the sum of
their faces equal to 9 comes somewhat less often than the sum of
faces equal to 10. Prove analytically whether the observation is
true or false.

Find three numbers whose sum is
3333
and whose sum of squares is a minimum.

Three numbers x, y, and z that sum to 99 and also have their
squares sum to 99. By Lagrange method, find x, y, and z so that
their product is a minimum.

Find three positive numbers whose sum is 12, and whose sum of
squares is as small as possible, (a) using Lagrange multipliers
b)using critical numbers and the second derivative test.

We are given three coins: one has heads in both faces, the
second has tails in both faces, and the third has a head in one
face and a tail in the other. We choose a coin at random, toss it,
and the result is heads. What is the probability that the opposite
face is tails?

Consider the numbers 624 and 847.
Show that these numbers can be written as the sum of three
squares OR show that they cannot be written as the sum of three
squares.

find three consecutive integers with a sum of the first and third
equal the sum of 1.5

For a one way ANOVA you know the following:
Sum of Squares Total is 1000.
The df treatment = 4
Mean Square Error = 20
The df total = 13
From the above data, we are evaluating whether 4 means could be
equal or not
True or False
(PLEASE SHOW WORK)

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 15 minutes ago

asked 30 minutes ago

asked 36 minutes ago

asked 46 minutes ago

asked 48 minutes ago

asked 56 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago