Answer:
C. 179 ft²
Step-by-step explanation:
Area of circular path or walkway
= π × (R + r) × width
Where
R= Outer radius
r = Inner Radius
Diameter = 16 feet
Width = 3 feet
Inner Radius = Diameter/2
= 16 feet/2 = 8 feet
Outer Radius = 8 + 3 = 11 ft
Hence:
= π × (11 + 8) × 3
= π × 19 × 3
= 179.07078125 ft²
Approximately = 179 ft²
The area of the circular walkway = 179ft²
Option C is correct.
Answer:
money left= 16
hat and jersey together= 24
Step-by-step explanation:
40(2/5)=16
16(1/2)=8
Answer:
The quantities used by Manuela were correct
Step-by-step explanation:
The question is
Did Manuela use the right quantities?
Let
x -----> the parts of oil
y ----> the parts of vinegar
we know that
The ratio of the parts of oil by the parts of vinegar of recipe is
Determine the relation used by Manuela
Compare with the recipe
Is true, the quantities are proportional
therefore
The quantities used by Manuela were correct
Answer (apply the FOIL method)
X^2+8x+15
Answer:
Step-by-step explanation:
Identities : -
cot = cos / sin
tan = sin / cos
( cot + tan ) sin = sec
LHS
= ( cot + tan ) sin
= ( ( cos / sin ) + ( sin / cos ) ) sin
= ( ( cos sin ) / sin ) + ( sin² / cos )
= cos + ( sin² / cos )
LCM = cos
= ( cos² / cos ) + ( sin² / cos )
= ( cos² + sin² ) / cos
Identity : -
cos² + sin² = 1
= 1 / cos
= sec
= RHS
Hence proved.
