The answer
<span>the third rope to counterbalance Sam and Charlie is F
and vectF +vectF1 +vectF2 =vect0
let's consider axis
y'y </span>vectF = -F
vectF 1= F1cos60
vectF 2= F2cos45
-F = -F1cos60-F2co45
so F= F1cos60+F2co45= 350x0.5+400x0.7=457.84 pounds
Using geometric sequence concepts, it is found that:
a) The rule is:
.
b) An exponential relationship exists between the two variables.
<h3>What is a geometric sequence?</h3>
A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:

In which
is the first term.
A geometric sequence represents an exponential relationship between the variables.
In this problem, considering that the first-place finisher wins half of $1.500.000 in total prize money, and each finisher earns half of the one who finished above, the first term and the common ratio are given by:
.
Hence the nth term of the sequence is given by:

More can be learned about geometric sequence concepts at brainly.com/question/11847927
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Answer:
The money borrowed by Morgan is $ 3.15.
Step-by-step explanation:
Money borrowed by Morgan to buy chips = $ 0.35
Number of times goes to the station = 9
Money borrowed by Morgan in 9 time visit to station
= 9 x $ 0.35
=$ 3.15
Answer:
612 feet
Step-by-step explanation:
LA is located at 330 feet ABOVE SEA LEVEL
Death Valley is located 282 feet BELOW SEA LEVEL
We let the sea level be at 0 (consider a number line).
So,
LA would be at +330 feet
and
Death Valley would be at -282 feet
The elevation change between the two would be the difference:
330 - (-282) = 330 + 282 = 612 feet
The difference in elevation = 612 feet
Answer:
x = 48
Step-by-step explanation:
First find y
52+y+59 = 180 since they from a straight line
y = 180-59-52
y = 69
Then we know the angles of a triangle add to 180
x+y+63 = 180
x+69+63 = 180
x = 180-69-63
x =48