# Tutor profile: Jonetta K.

## Questions

### Subject: Geometry

If the line segment AC = 36 cm and the line segment AB = 15, what is the length of the line segment BC ? |------------------------36--------------------| @-------------------------@-----------------@ A B C |------------15-------------|

Since AB + BC = AC, 15 + BC = 36. 15 + BC = 36 -15 -15 Subtract 15 from both sides of the equation ``````````````````````````` BC = 11 units

### Subject: Pre-Algebra

Charlie needs to clean his windows at his house. He has a ladder that is 10 feet high, and the window he needs to clean is 8 feet up from the foundation of his house. How far from the house will Charlie need to lean the ladder up against the house? /| 10 feet / | 8 feet / | ~~?~

Given the diagram above, the ladder length is 10 feet, which is the hypotenuse of the right triangle that has been formed. The 8 feet length from the foundation of the house to the window is one of the legs of the right triangle. Since this forms a right triangle, the Pythagorean Theorem needs to be used to complete this problem. Therefore, a = 8 feet, b = the missing length and c = 10 feet. (a x a) + (b x b) = c x c The Pythagorean Theorem (8 x 8) + (b x b) = 10 x 10 Substitute the values into the Pythagorean Theorem 64 + (b x b) = 100 Square the numbers that you substituted in - 64 - 64 Subtract 64 from both sides to solve for b x b `````````````````````````````````````````````` b x b = 36 You can take the square root of both sides to find b. b = 6 feet Since 6 x 6 equals 36, the square root of 36 equals 6.

### Subject: Algebra

Write and solve an equation to represent the given situation. Define the variable. If Susie has $200 in the bank and she is paid $15 an hour, how many hours does she need to work to have $650 in the bank?

Let x = the number of hours that Susie needs to work. Since Susie makes $15 an hour, part of the equation is 15x. The other part of the equation is to add the amount that she has in the bank already to what she will be making, so 15x + 200, which will be equal to $650. The equation is 15x + 200 = 650. To solve, you complete the following steps: 15x + 200 = 650 - 200 -200 Subtract 200 from both sides (you must always do the `````````````````````````````````` opposite operation to move terms in an equation. 15x = 450 ````````` ````````` Divide both sides by 15 to solve for x. 15 15 x = 30 hours Susie must work 30 hours in order to have $650 in the bank.

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