Math Answers

There are two hinged vertical mirrors with an angle of

140 °. A horizontal light beam falls on one of these

mirrors at a certain angle and is then reflected from

both mirrors. What is the acute angle between the

beam incident on the first mirror and the beam

reflected from the second mirror?

It is planned to build a bridge AB across the river.

Calculate the length of the bridge if the base BC

= 165 m, ß = 108 °, y = 20 °

If you are 30 m from the foot of the Leaning Tower of Pisa, the top of the Leaning Tower is at

65 ° angle of elevation.. If the tower were perpendicular to the ground, we would could form a

right right triangle and easily obtain the height.. Unfortunately, the tower is inclined towards us

4 ". Calculate to find the height of the tower with such data?

If you are 30 m from the foot of the Leaning Tower of Pisa, the top of the Leaning Tower is at 65 degree angle of of elevation. If the tower were perpendicular to the ground, the tower is inclined towards us 4” . Calculate to find the height of the tower with such data?

Find square root of 1+i

A random 5-card poker hand is dealt from a standard deck of cards. Find the probability (in terms of binomial coefficients) of getting a flush (all 5 cards being of the same suit: do not count a royal flush, which is a flush with an ace, king, queen, jack and 10).

Sarah's gas meter readings were 5,003 CCF last month and 5,014 CCF this month. Her natural gas supplier charges $1.72 per CCF. What is her total natural gas bill for the month?

Use method of undetermined coefficients method to solve the following

y''+y=5xsinx,y(0)=0,y'(0)=1

Form the PDE of the following by eliminating arbitrary functions

phi(z^2-xy,x/z)

Use the Laws of Logic to prove the following equivalence and state the laws used for each step.

p → (p ⋀ q), p → q