Linda,\ aldo\ and\ tom\ sent\ a\ total\ of\ 147\ text\ messages\ during\ the\ weekend.\ Tom\ sent\ 4\ times\ as\ many\ messages\ as\ aldo.\ linda\ sent\ 9\ more\ messages\ than\ aldo.\ How\ many\ messages\ did\ they\ each\ send

Linda Sent 32 messages, Aldo sent 23 messages and Tom sent 92 messages.

Step-by-step explanation:

Let number of messages sent by Linda=l

Let number of messages sent by Aldo=a

Let number of messages sent by Tom=t

Linda, Aldo and Tom sent a total of 147 messages

t+a+l=147(i)

If Tom sent 4 times as many messages as Aldo,

t=4a (ii)

Linda Sent 9 more messages than Aldo

l=a+9(iii)

We are required to find the number of messages each sent i.e. l, a and t

Substituting Equations (ii) and (iii) into (i)

t+a+l=147

4a+a+(a+9)=147

6a+9=147

6a=147-9

6a=138

a=138/6=23

From (ii). t=4a

t=4X23=92

From (iii), l=a+9=23+9=32

Therefore:

Linda Sent 32 messages, Aldo sent 23 messages and Tom sent 92 messages.

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,