Cora’s teacher decided to add 15 bonus points to each student’s 2 lowest test scores for the year, for a total of 30 bonus points. Cora received test scores of 76, 87, 84, 91, 80, and 74.

What is the difference between Cora’s median score before the bonus points were added and her median score after the bonus points were added?

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step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

the figures below are made out of circles, semicircles, quarter … find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations). remember that we'll also have to cut whatever areas we get in half, since we're only dealing

step-by-step explanation:

597

step-by-step explanation:

by definition, an arc subtended by a central angle of some given measure has the same measure. so .