Questions in mathematics

Questions in mathematics

[Done] If [tex]\sin \alpha = \frac{12}{13}[/tex] and [tex]\cos \alpha = \frac{5}{13}[/tex], then what is [tex]\tan \alpha[/tex]?

[Done] Archie rolls two number cubes, each with sides numbered 1 through 6. He finds the sum of the numbers on the tops of the cubes. What two sums have the same probability? A. 3 and 4 B. 5 and 9 C. 5 and 8 D. 10 and 12

[Done] Jorge plans to paint a bedroom wall that is shaped like a trapezoid. The bottom edge of the wall is 22.5 feet long, and the top edge of the wall is 9.5 feet long. If the wall is 8 feet tall, what is the area of the wall?

[Done] Are the triangles similar? If they are, identify the similarity ratio. A) Yes; the similarity ratio is 3:4. B) Yes; the similarity ratio is 2:3. C) Yes; the similarity ratio is 1:2. D) No; the triangles are not similar.

[Done] Can a right triangle have a leg that is 10 meters long and a hypotenuse that is 10 meters long? Explain.

[Done] Rene is going to the lake to visit some friends. If the lake is 60 miles away and Rene is driving at 40 miles per hour the entire time, how long will it take her to get to the lake?

[Done] What is the ordered pair that represents the vertex of [tex]y = -|x + 4|[/tex]?

[Done] What transformations change the graph of \( f(x) \) to the graph of \( g(x) \)? \[ f(x) = -7x^2 \] \[ g(x) = -35x^2 + 5 \]

[Done] What is 0.006 written as a fraction of a percent?

[Done] How can you do this question about standard form?