Answer:
θ is decreasing at the rate of
units/sec
or
(θ) = 
Step-by-step explanation:
Given :
Length of side opposite to angle θ is y
Length of side adjacent to angle θ is x
θ is part of a right angle triangle
At this instant,
x = 8 ,
= 7
(
denotes the rate of change of x with respect to time)
y = 8 ,
= -14
( The negative sign denotes the decreasing rate of change )
Here because it is a right angle triangle,
tanθ =
-------------------------------------------------------------------1
At this instant,
tanθ =
= 1
Therefore θ = π/4
We differentiate equation (1) with respect to time in order to obtain the rate of change of θ or
(θ)
(tanθ) =
(y/x)
( Applying chain rule of differentiation for R.H.S as y*1/x)
θ
(θ) = 
- 
-----------------------2
Substituting the values of x , y ,
,
, θ at that instant in equation (2)
2
(θ) =
*(-14)-
*7
(θ) = 
Therefore θ is decreasing at the rate of
units/sec
or
(θ) = 
The term that has a degree of 8 is -2x³y⁵
<h3>How to find the degree of a polynomial?</h3>
The polynomial above is a monomial. A monomial is a polynomial with a single term.
Therefore, the degree of a monomial is the sum of the exponents of all its variables.
In other words, a monomial is a number, a variable or a product of a number and a variable where all exponents are whole numbers.
Hence, the term with degree of 8 is -2x³y⁵
Degree = 0 + 3 + 5 = 8
learn more on degree here: brainly.com/question/14939467
#SPJ1
23.6588 liters
1 pint is equal to 0.473176 liters.
59.99(1.08)= 64.7892
64.7892 rounded to the nearest cent= $64.79
The answer is $64.79.
Hope this helps!
Try 10 as the answer. Good luck