Answer:
18 ft
Step-by-step explanation:
Since the triangle is right angled ; we could use trigonometry ;
Using the angle , 40° ; adjacent side, = 14 feets ; hypotenus = x
Cos θ = Adjacent / hypotenus
Cos 40 = 14 / x
0.7660444 = 14 / x
0.7660444x = 14
x = 14 / 0.7660444
x = 18.27
= 18 ( nearest foot)
C! Like terms refer to the variables that are the same, rather than the coefficients (the numbers).
Answer:
g(x)=x^3+2x^2 - 4
Step-by-step explanation:
See attached worksheet
Suppose the length of the triangle is x, if the perimeter of the rectangle is 100 ft, the width of the rectangle will be (50-x) ft.
Area of rectangle will be:
A=length*width
A=x(50-x)
A=50x-x^2
at maximum area, dA/dx=0
thus
dA/dx=50-2x=0
solving for x we get
2x=50
x=25
thus for maximum area length=25 ft
the size of the width will be
50-x=50-25=25 ft
thus the maximum area will be:
25*25=625 sq. feet
Answer:
-9/8
Step-by-step explanation:
Slope m = (y2-y1)/(x2-x1)
using (1,1) and (10,9)
m = (9 - 1)/(10 - 1)
m = (8)/(9)
m = 8/9
slope of line g is 8/9
Perpendicular lines have slopes that are negative reciprocals of one another
so slope of h is -9/8
