Answer:
r = 144 units
Step-by-step explanation:
The given curve corresponds to a parametric function in which the Cartesian coordinates are written in terms of a parameter "t". In that sense, any change in x can also change in y owing to this direct relationship with "t". To find the length of the curve is useful the following expression;

In agreement with the given data from the exercise, the length of the curve is found in between two points, namely 0 < t < 16. In that case a=0 and b=16. The concept of the integral involves the sum of different areas at between the interval points, although this technique is powerful, it would be more convenient to use the integral notation written above.
Substituting the terms of the equation and the derivative of r´, as follows,

Doing the operations inside of the brackets the derivatives are:
1 ) 
2) 
Entering these values of the integral is

It is possible to factorize the quadratic function and the integral can reduced as,

Thus, evaluate from 0 to 16
The value is 
Answer:
x = 6
Step-by-step explanation:
this figure involves two triangle and one rectangle
for area of rectangle= Length * Width = 16 * 8 = 128 feet^2
for area of one triangle = 1/2 * base * height = 1/2 * x *8 = 4x
for two triangles = 8x ft^2 total
whole area = two triangles + one rectangle
176 = 8x + 128
8x =48
x = 6
Answer:
-5 + 6 = 1
Step-by-step explanation:
The model number may be used to simplify -5 + 6 = 1
Answer:
$396
Step-by-step explanation:
Alayna's hourly rate (or pay per hour) is $9.
She worked 44 hours in total last week. To solve, multiply 44 with 9
44 x 9 = $396
Alayna's gross pay for last week was $396.
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