Answer:
114 yards
456 yards
Step-by-step explanation:
Given that:
Area of square parking lot = 12,996 square yards
The lenght of one side of the parking lot :
Area of a square = a² ; a = side length
Hence ;
12996 = a²
√12996 = a
114 = a
Hence, length of one side = 114 yards
Yards of fence needed to enclose parking lot :
Perimeter of a square = 4a ; a = side length
Perimeter = 4(114)
Perimeter = 456 yards
6x^2 +30x - 36
6( x^2 +5x -6)
6(x^2 -x+6x-6)
6[ x(x-1) 6(x-1)]
(x-1) (x+6)
The shipping would be 15.75 because 5% of 15 is 0.75, so add 15 to 0.75 and the answer is 15.75 :)
Answer:
1
+
sec
2
(
x
)
sin
2
(
x
)
=
sec
2
(
x
)
Start on the left side.
1
+
sec
2
(
x
)
sin
2
(
x
)
Convert to sines and cosines.
Tap for more steps...
1
+
1
cos
2
(
x
)
sin
2
(
x
)
Write
sin
2
(
x
)
as a fraction with denominator
1
.
1
+
1
cos
2
(
x
)
⋅
sin
2
(
x
)
1
Combine.
1
+
1
sin
2
(
x
)
cos
2
(
x
)
⋅
1
Multiply
sin
(
x
)
2
by
1
.
1
+
sin
2
(
x
)
cos
2
(
x
)
⋅
1
Multiply
cos
(
x
)
2
by
1
.
1
+
sin
2
(
x
)
cos
2
(
x
)
Apply Pythagorean identity in reverse.
1
+
1
−
cos
2
(
x
)
cos
2
(
x
)
Simplify.
Tap for more steps...
1
cos
2
(
x
)
Now consider the right side of the equation.
sec
2
(
x
)
Convert to sines and cosines.
Tap for more steps...
1
2
cos
2
(
x
)
One to any power is one.
1
cos
2
(
x
)
Because the two sides have been shown to be equivalent, the equation is an identity.
1
+
sec
2
(
x
)
sin
2
(
x
)
=
sec
2
(
x
)
is an identity
Step-by-step explanation:
