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Sara G.

Tutor for Seven Years, Test Prep Specialist, and K12 Curriculum Developer

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Geometry

TutorMe

Question:

Find the missing length of the right triangle using the lengths below, where lengths a and b are legs and length c is the hypotenuse: a: 9 b: c: 15

Sara G.

Answer:

b: 12 Using the quadratic formula a^2 + b^2 = c^2, plug 9 in for a and 15 in for c. Solve for b. OR Recognize that 9 is a multiple of 3 and 15 is a multiple of 5, therefore forming a 3-4-5 Pythagorean Triplate. B must be a multiple of 4.

ACT

TutorMe

Question:

Choose the best way to combine the following two sentences: (1) Batman is Bruce Wayne in disguise. (2) At night, Batman fights crime on the streets of Gotham.

Sara G.

Answer:

Batman, who is Bruce Wayne in disguise, fights crime on the streets of Gotham at night. Batman is Bruce Wayne in disguise, and he fights crime on the streets of Gotham at night. Either of the above sentences aptly combine the two sentences.

Algebra

TutorMe

Question:

Superman can fly at an average speed of 525 mph. The Flash can run at an average of 1000mph. The two heroes are participating in a 2000 mile race. If the Flash gives Superman a half hour head start, will he still win the race?

Sara G.

Answer:

The Flash will still win the race. In half an hour, Superman can fly 262.5 miles; he will have 1,737 miles left of the race to go. It will take Superman 3.3 hours to complete the remainder of the race. When The Flash begins the race after waiting half an hour, he will still have 2,000 miles to run which will take him only 2 hours.

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