Questions in mathematics

Questions in mathematics

[Done] When converting cotangent+5 into cos/sin do you do what I did and bring the 5 with them or do you do cos/sin +5?

[Done] 140% of what number is 56?

[Done] What is \(\frac{1}{4}\) of 10? Explain.

[Done] The area of a room is 320, and the width is [tex]\frac{4}{5}[/tex] of the length. What are the dimensions of the room?

[Done] Write \( P(x) = -36x^2 + 900x - 1584 \) in standard vertex form. Can you help, please?

[Done] The Lees have three children. The oldest is twice as old as the youngest. The middle child is 5 years older than the youngest. If the sum of their ages is 57, how old is each child?

[Done] The students who went to summer camp voted for their favorite activities. How many more students voted for biking than for fishing if 21 students voted for biking and 9 students voted for fishing?

[Done] What percent of 125 is 24?

[Done] How do I prove that [tex]0.3333\ldots[/tex] is equal to [tex]\frac{1}{3}[/tex] using a geometric series?

[Done] If the length of a rectangle is 5 cm longer than twice the width and the area of the rectangle is 403 square centimeters, what is the width?