Tuesday

July 29, 2014

July 29, 2014

Total # Posts: 14

**geometry!!!!!!**

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?

**physics !!!!!!!!!!!!!**

The waterfall "Angel Falls" in Venezuela is the world's tallest at h=979 m. Assume that the water's velocity on the top of the falls and on the bottom of the falls (after it hits the ground and begins to flow away) is equal, and that no total energy is lost b...

**PHYSICS**

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 lift 100 kg on earth (ab...

**physics!!!!!!!**

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 image on the floo...

**geometry!!!!!!!!!!**

Three circles, each with a radius of 10, are mutually tangent to each other. The area enclosed by the three circles can be written as ab√−cπ, where a, b and c are positive integers, and b is not divisible by a square of a prime. What is the value of a+b+c?

**maths!!!!!!!!!**

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?

**physics**

The waterfall "Angel Falls" in Venezuela is the world's tallest at h=979 m. Assume that the water's velocity on the top of the falls and on the bottom of the falls (after it hits the ground and begins to flow away) is equal, and that no total energy is lost b...

**physics**

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 lift 100 kg on earth (ab...

**physics!!!!!**

When the distance between the hole and floor is h1=20 cm, the images's length is l1=20 cm; when the distance between the hole and floor is h2=40 cm, the images's length is l2=36 cm . What is the length L of the ceiling lamp in m?

**maths**

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

**arithmetic**

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?

**geometry**

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.

**algebra!**

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

**geometry**

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...

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