An astronomer knows the distances from herself to stars A and B as well as the distance between them.

The distances are 450, 400, and 90 light years (1.y.) respectively.

If the astronomer's telescope is currently pointed at star A. how many degrees must she rotate her

telescope to see star B?

Do not round during your calculations. Round your final answer to the nearest degree,

B

90

400 l. y.

Astronomer

450 l. y.

The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −5 0 −1 1 3 g(x) g(x) = 2x − 7 part a: write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points) part b: which function has a greater y-intercept? justify your answer. (4 points)

Grace is standing 18 feet from a lighthouse and kelly is standing 10 feet from grace. the angle that grace looks up to see the top of the lighthouse is 45°. the angle that kelly looks up to see the top of the lighthouse is y°. find the height, h, of the lighthouse. find the angle, rounded to the nearest tenth of a degree, in which kelly looks up to the top of the lighthouse. to the nearest tenth of a degree, find the value of x° . in two or more sentences, explain your calculations

Find the circumference of each circle. use 3.14 for . 15 cm 6 yd 2 m 13 ft. find the area of each circle. use 3.14 for t. 26 m 15 ft. 19 yd. 7.5 mm