Questions in mathematics

Questions in mathematics

[Done] A slide has an angle of elevation of 25°. It is 60 feet from the end of the slide to the stairway beneath the top of the slide. About how long is the slide?

[Done] Review the important identity: \[ \cos x \cos y = \frac{1}{2} [\cos(x+y) + \cos(x-y)] \]

[Done] As viewed from a cliff 340 feet above sea level, a ship is 450 feet from the shore. What is the angle of depression from the cliff to the ship on the water below?

[Done] At 8:00 am, a building casts a shadow 75 feet long. The angle where the ray from the sun meets the ground is 50°. How tall is the building?

[Done] Factorize: \(-x^2y^2 + x^4 - 2y^4\)

[Done] If [tex]x^2 - y^2 = 55[/tex], and [tex]x - y = 11[/tex], then [tex]y =[/tex]

[Done] Solve for the value of x. \[ 4(x-3) + 7 - 10x = 5 \]

[Done] What does \( x \) equal if \( 2.3 - 5x = 3x - 5.7 \)? Please explain how to solve this equation.

[Done] Michael made a baby quilt that was 3 feet wide. Its perimeter was 16 feet. What was its area? Show the steps.

[Done] Compare the numbers: 5.89 and 5.899. Use the symbols: <, >, or = to show the relationship between the numbers.