You have ₹ 200 to spend on transport for 4 days. This works out to ₹ 50 per day. Therefore, you know that you need to take a bus (one-way fare ₹ 20) rather than an auto rickshaw (one-way fare
₹.50). On day 1, you take a bus to and fro and are able to stay within budget. On day 2, you are
late and take an auto. Even if you take a bus back home, you will be ₹ 10 short or – ₹ 10 in spite
of saving ₹ 10 the previous day. You will need to re-plan to adjust this deficit from the amount
you have left. What amount do you have left for the remaining 2 days?

b

Step-by-step explanation:

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional