Answer:
The inner function is
.
The outer function is
.

Step-by-step explanation:
The inner function is the one we apply the outer function to.
So

We apply the outer function tangent to
.
So, the inner function is
.
The outer function is
.
The derivative of a compositve function
in which
is given by the following function.

So




So


Answer:
m∠K = 97°
Step-by-step explanation:
The sum of the measures of the angles of a quadrilateral is 360
127 + 5x + 3 + 10x + 7 + 88 = 360
15x + 225 = 360
15x = 135
x = 9
m∠K = 10x + 7 = 10(9) + 7 = 90 + 7 = 97°
Answer: Y=2/3x+4 that’s your rule/equation
Answer:
Step-by-step explanation:
Let the other side of the rectangle be y. The perimeter of the rectangle is expressed as P = 2(x+y)
Given P = 30ft, on substituting P = 30 into the expression;
30 = 2(x+y)
x+y = 15
y = 15-x
Also since the area of the rectangle is xy;
A = xy
Substitute y = 15-x into the area;
A = x(15-x)
A = 15x-x²
The function that models its area A in terms of the length x of one of its sides is A = 15x-x²
The side of length x yields the greatest area when dA/dx = 0
dA/dx = 15-2x
15-2x = 0
-2x = -15
x = -15/-2
x = 7.5 ft
Hence the side length, x that yields the greatest area is 7.5ft.
Since y = 15-x
y = 15-7.5
y = 7.5
Area of the rectangle = 7.5*7.5
Area of the rectangle = 56.25ft²
Answer:
C) 3/4
Step-by-step explanation:
It is three steps out of four.