As they both are tangents of the same circle, their lengths must be equal.
RS = RT
x/4 = x-6.3
x = 4x - 25.2
4x-x = 25.2
3x = 25.2
x = 8.4
As, RS = x/4, it will be equal to 8.4/4 = 2.1
SO, YOUR FINAL ANSWER IS RS = 2.1
Find volume of each bill and each room
v=lwh
vbill=6.14*2.61*0.0043=0.06890922 in^3
must convert room dimientions to inches
25*12=300in
23*12=276in
15*12=180in
Vroom=300*276*180=14904000in^3
now 1 billion bills
move decimal place over 9 places to right
1 million bills takes about 68909220 in^2
how many rooms to fit them all?
vbillionbills/v1room=number of rooms needed=
68909220/14904000=4.623
round to 1 deicmal
4.6 rooms needed (actually, it would be 5 since you can't use the 0.4 room left over very efficiently)
answer is 4.6 rooms
Substitution!
<span>y = 4x – 10...(1)
y = 2...(2)
You have y=2 here, substitute it in equation (1),
</span><span>y = 4x – 10
</span><span>2 = 4x – 10
</span>Add both sides by 10
12=4x
Divide both sides by 4
x=3
We have x=3, and y=2. ==> (x,y) = (3,2)
Speed of the boat = u
speed of the current = v
in downstream,
u - v = 105/5
u - v = 21
in upstream
u + v = 105/7
u + v = 15
add both equations
2u = 36
u = 18
v = -3
so
speed of the boat = 18 km/h
speed of the current = 3 km/h