A balloon is rising vertically. The horizontal distance between the balloon and an observer on the ground is 40 feet. The distance between the observer and the rising balloon is changing at a rate of 1.5 feet per second. At the instant when the distance between the observer and the balloon is 100 feet, how fast is the angle between the hypotenuse and the vertical distance changing

You are updating your garage and the only thing left to paint is your garage day. you're only going to paint the slide that faces the street. the garage door is 9 fert 8inches tall and 120 inches wide. you need to know the surface area of the side of the garage door to determine how much paint to buy. the hardware store sells paint by how much covers a square foot. what is the surface area you should report to the hardware store what is the answer

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.

What is the equation of the line that is parallel to the line with the equation y= -3/4x +1 and passes through the point (12,-12)