Ricardo wants to rent a personal watercraft for a beach party. Wavy Dave's charges $17. 50 per hour plus a $20 fuel fee. Sun'N'Fun charges $15. 00 per hour plus a $30 fuel fee. After how many hours will Sun'N'Fun be cheaper than Wavy Dave's?.

5 hours

Explanation:

(h = hour)

Wavy Dave's:

h1=20 + 17.50= 37.50

h2= 20 + 17.50 + 17.50 = 55

h3= 20 + 17.50 + 17.50 + 17.50 = 72.50

h4 = 20 + 17.50 + 17.50 + 17.50 + 17.50 = 90

h5= 20 + 17.50 + 17.50 + 17.50 + 17.50 + 17.50 = 107.50

Sun'N'Fun:

h1= 30 + 15 = 45

h2= 30 + 15 + 15 = 60

h3= 30 + 15 + 15 + 15 = 75

h4= 30 + 15 + 15 + 15 + 15 = 90

h5= 30 + 15 + 15 + 15 + 15 + 15 = 105

bd = 9 cm

step-by-step explanation:

in a 30°-60°-90° triangle, the ratio of side lengths is 1 : √3 : 2. that is, the longest side (hypotenuse) is twice the length of the shortest side.

all of the triangles in your geometry are 30°-60°-90° triangles. ac is the hypotenuse of δacd, and the short side of δabc.

the short side ad of δacd will be half the length of ac, so 3 cm. the hypotenuse ab of δabc will be twice the length of ac, so 12 cm. segment bd is the difference of the lengths ab and ad, so is

bd = ab -ad

bd = 12 cm - 3 cm = 9 cm

comment on side length ratios

you can figure the ratios of side lengths in a 30°-60°-90° triangle by considering the trig ratios of the angles. or you can figure the length of the altitude of an equilateral triangle of side length 2 using the pythagorean theorem.

due to the changes the federal reserve is making the unused reserves will impact the economy by them facing inflation. inflation is definfed as the increase in pricing of a good or service but the decline of the value of money used for purchasing those items. when the economy has a high inflation rate, they are subject to money loss and hurt on the economy.