Pythagoras Theorem

State the lengths of the legs and hypotenuse of each triangle: (1.) 15cm(straight side) 17cm(slant side) 8cm(bottom has tiny square in it) (2.) 25m(left long slant side) 20m(right slant side) 15m bottom w/tiny square (3) 26 in.(left) 24 in. (rt) 10 in.(bottom w/ square)

Cardinality

Please see the attached file for full problem description.

Fractions, Percentages

1. What per cent of 80 is 16? 2. How do you find prime numbers up to 50?

Word problem in Algebra about ages

3 years ago, Liz's age was 1/3 of her mother's age. Now, 7 years later, her age will be 1/2 of her mother's age. How old are Liz and her mother?

Variable meaning

I want help understanding the following statement. I need to be able to use this formula but I don't quite get it. What does the little n stand for? So suppose my universe is 15 usability problems and each subject gets 20% of them (the L) how do you use the little N in this equation to get the result? Here is the paragraph t ...continues

Word problem involving distance, time, speed calculations

The tortoise and the hare finally have their long awaited rematch. The tortoise gets a 1000 foot lead and runs at 9 inches per second. The hare begins at the starting line and runs at a rate of 6 feet per second. There is also a rat who starts 1200 feet ahead of the Hare and runs back towards the starting line at a rate of 2 fee ...continues

A 2x2xn hole in a wall is to be filled with 2n 1x1x2 bricks

A 2x2xn hole in a wall is to be filled with 2n 1x1x2 bricks. In how many ways can this be done if the bricks are indistinguishable?

Division of functions

Divide 6x^3 - 29x^2 + 36x - 4 by x-2 in the traditional way and find the quotient. Note that the remainder will come out to be zero

Roots

1. Find the number of real roots and imaginary roots: f(x)=10x^5-34x^4-5x^3-8x^2+3x+8 2. Find all zeros: f(x)=x^4+2x^3+5x^2+34x+30 3. Find all roots: f(x)=x^3-7x^2-17x-15; 2 + i 4. Find all roots: f(x)=x^4-6x^3+12x^2+6x-13; 3 + 2i The 5th problem is attached. Please answer the question ...continues

College Algebra

Can you please help me with these. I can not get these and I am trying to study for the clep exam. Do not do the circled problems only the ones listed below. Thank you for help. Please show step so that I can understand better. 129 1. a) 6, b) 12, c) 16, d) 20 2. a) 24, b) 26 3. a) 35, b) 36 4. a) 46, b) 48 P. 14 ...continues