![leximae5391](/avatars/47775.jpg)
leximae5391
28.01.2020 •
Mathematics
In the figure, ab=12, bc=8, de=6, pd=4, and a is the point of tangency. find the radius of circle p.
Solved
Show answers
More tips
- S Society and Politics Is It Fact or Fiction? Let s Talk About Anton Chekhov s Pseudonym...
- S Sport Playing Bowling: Rules and Advice for Novices...
- C Computers and Internet How to Properly Repartition a Hard Drive?...
- A Auto and Moto What Is the Cost of Customs Clearance for a Car in Russia?...
- L Leisure and Entertainment Should You Buy a Ceramic Knife?...
- C Computers and Internet How to easily and quickly disable Firebug in Gmail and Google Docs...
- G Goods and services How to sew a ribbon: Tips for beginners...
- F Food and Cooking How to Make Mayonnaise at Home? Secrets of Homemade Mayonnaise...
- C Computers and Internet Which Phone is Best for Internet Surfing?...
- F Food and Cooking Everything You Need to Know About Pasta...
Answers on questions: Mathematics
- M Mathematics ANSWER ASAP How do you find themes in a story? Ask yourself how the characters change from the beginning to the end Ask yourself about what the characters want in the story...
- M Mathematics What is 12x12+3405-345+78-3? Brainliest...
- M Mathematics On the last school spirit day, 5 out of every 7 students wore school colors. Based on this information, if 560 students attend the school, write a proportion to determine...
- M Mathematics PLEASE HELP ASAP COMBIINE 12x + 9 -3x -4...
- M Mathematics 1) Are these two models equivalent? Model 2: Sequence Model 1: Graph 6 6,4,2,0... 5 4 a) No, because they are decreasing. b) No, because they have different common differences....
- M Mathematics What is the slope of the equation? 2y -3x = -8...
- M Mathematics Please please help with this...
- M Mathematics Can u guys please help me?!...
- M Mathematics A season has 81 home games. If you purchase a season ticket in the bleacher section, what is the cost per game, in dollars, for this ticket?...
- M Mathematics Plz help its geometry...
Ответ:
The radius of the circle P = 2√10 = 6.325
Step-by-step explanation:
∵ AB is a tangent to circle P at A
∴ (AB)² = BC × BE
∵ BC = 8 , AB = 12 , ED = 6
∵ BE = ED + DC + CB
∴ BE = 6 + CD + 8 = 14 + CD
∴ (12)² = 8 × (14 + DC) ⇒ (12)²/8 = 14 + CD ⇒ CD = (12)²/8 - 14
∴ CD = 4
Join PC and PE (radii)
In ΔBDC and ΔPDE ⇒ ∵ ∠PDC = Ф , ∴ ∠PDE = 180 - Ф
Use cos Rule:
∵ r² = (PD)² + (DC)² - 2(PD)(DC)cosФ
∴ r² = 16 + 16 - 32cosФ = 32 - 32cosФ ⇒ (1)
∵ r² = (PD)² + (DE)² - 2(PD)(DE)cos(180 - Ф) ⇒ cos(180 - Ф) = -cosФ
∴ r² = 16 + 36 + 48cosФ = 52 + 48cosФ ⇒ (2)
∵ (1) = (2)
∴ 32 - 32 cosФ = 52 + 48cosФ
∴ 32 - 52 = 48cosФ + 32cosФ
∴ -20 = 80cosФ
∴ cosФ = -20/80 = -1/4
∴ r² = 32 - 32(-1/4) = 32 + 8 = 40
∴ r = √40 = 2√10 = 6.325
Ответ:
829 feet per second is your answer. You do this by doing 9,944in/s x ft./12in. Cancel out the in., and multiply to get 9,944ft in 12 seconds. Divide 9,944 by 12 to get around 828.6 ft., and then then round it up to get 829 ft. per second.