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

Tiffany drives 285,120 feet before lunch and 628,320 feet after lunch. about how many kilometers does she drive all together

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.

Yuto solved the equation below. what is the solution to yuto’s equation?