Please help:
In ΔFTP, sin T=29, sin P=110, and t=9. Find the length of P.

The length of P is 34.14

Step-by-step explanation:

Using the sine law

a/sin A = b/sin B

From the question; In ΔFTP, sin T=29, sin P=110, and t=9. Find the length of P.

a = the length of P

Sin A =Sin P = 110

b = t = 9

Sin B = sin T = 29

p/sin P= t/sin T

p/110 = 9/29

Cross multiply

29 x P = 9 ×110

29P = 990

P = 990/29 = 34.13793103= 34.14

17.4

Step-by-step explanation:

9/sin(29) = p/sin(110)

p = sin(110) × 9/sin(29)

p = 17.44444259

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11 -1> 1 -1+ a

-12 > a

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺