please help me out!!! please

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Questions

The following questions were asked by visitors named please help me out!!! please.

In the English alphabet, there are 7 capital letters that look the same after being rotated 180∘. Those letters are H, I, N, O, S, X, and Z. How many different 3 letter "words" can be made from these letters such that when the word is rotated 180∘, the re...

x is a number such that x2+3x+9=0. What is the value of x3?

Let O be the center of the circle Γ, and P be a point outside of circle Γ. PA is tangential to Γ at A, and PO intersects Γ at D. If PD=14 and PA=42, what is the radius of Γ.

A group of friends are planning a road trip. If they all contributed $24, then they would be $6 short of the total. If they all contributed $25, then they would have $3 more than needed. What is the total cost of the trip?

What is the value of 321 rounded up to the nearest 10?

A few years ago, a movie came out about a soldier, John Carter, who was transported to Mars and could perform amazing feats of strength and jumping due to the lower Martian gravity. The surface gravity of Mars is 0.38 times that of earth. If John could li...

If a and b are coprime positive integers such that 1/2+1/3+1/4+1/5=ab, what is the value of a+b?

In order to measure the length of a long flourescent ceiling lamp, a student makes a very small hole in a piece of paper, holds the paper above the floor, measures the distance between the hole and the floor, and finally measures the length of the light's...

ABC is an isosceles triangle with AB = BC. The circumcircle of ABC has radius 8. Given further that AC is a diameter of the circumcircle, what is the area of triangle ABC?

Answers

The following answers were posted by visitors named please help me out!!! please.