Last month, katie started training for the swim team. she swam 20 laps every day for 18 training days. this month, katie wants to swim 215 more laps than last month. she will swim 3 more laps per training day and add more training days to her monthly schedule. a. if katie adds 5 training days to her schedule this month, will she swim 215 more laps? b. if katie adds 10 more training days to her schedule this month, will she swim 215 more laps? c. if katie adds 6 more training days to her schedule this month, will she swim 215 more laps? d. use the guess-check-generalize method to build an equation for finding the number of additional training days she needs to swim 215 more laps. e. solve your equation

Let x be the number of training days that Katie wants to add. In total she will have 18+x training days per month.

1. If Katie swam 20 laps every day for 18 training days, then she swam

laps per month.

2. If Katie adds x training days and will swim 3 more laps per training day, then she will swim

laps per month.

3. If this month, Katie wants to swim 215 more laps than last month, then

Solve this equation:

Therefore, it is sufficient to add 7 extra training days and 3 more laps each day to swim 215 laps more than last month. Moreover, if she adds more than 7 days (for example, 10 days), then she will swim more than 215 laps more.

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841

i only know the sequence of arithmetic it adds the first is 5+4 then it goes up as it adds to then it is 9+5 then 14+6 then to 20+7 and so on. 5,9,14,20,27,35.

step-by-step explanation: