Answer
The missing length is 10
Step-by-step explanation:
Represent the missing length with x
The sides of the given shape are directly proportional.
Mathematically:
(15 + x) to (12 + 8) and x to 7
Represent as a ratio:
Convert to fraction
Cross Multiply:
Collect Like Terms
Solve for x
<em>The length of the missing side is 10</em>
Let x be the first odd integer.
x + 2 the second
x + 4 the third
x + 6 the fourth
x + 8 the fifth.
add them up and you get 5x + 20
set 5x + 20 = 145 and solve for x.
5x=145-20
5x=125
x=25
answer=25,27,29,31,33
Cot(3x)=3^(1/2)
cot(x)= cos(x)/sin(x)
cot(3x)= cos(3x)/sin(3x)
look at a unit circle chart
find a value for cos that has sqrt(3) in it
which one will reduce so that the cos/sin will equal sqrt(3)?
pi/6 radians
now cot(3x) implies that x is one third this value
pi/18 is the answer
I will assume that 0.62 is an exponent then
amount left after t seconds = f(6) = 5 - 0.82(6)^0.62
= 2.51 gallons to nearest hundredth.
