Answer:
Can you show the whole page we?
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.
Answer:
C. The ratio of the area to the circumference is equal to half the radius.
Step-by-step explanation:
The area of a circle can be written as;
Area A = πr^2
The circumference of a circle is;
Circumference C = 2πr
Using the formula, w can derive the relationship between the two variables.
A = kC
k = A/C
Substituting the two formulas;
k = (πr^2)/(2πr) = r/2
So,
A = (r/2)C
A/C = r/2
The ratio of the area to the circumference is equal to half the radius.
Given;
Area = 200.96
Circumference = 50.24
Radius = 8
To confirm;
k = r/2 = 8/2 = 4
Also,
A/C = 200.96/50.24
A/C = 4
Answer:
V=378 inch³
Step-by-step explanation:
The package is in the shape of a cuboid. The volume of a cuboid is given by :
V = lbh
l=length, b=breadth and h=height
Area of base = 54 inch²
Height of box, h = 7 in
It means that, volume of the package is :
V = 54 × 7
V=378 inch³
So, the volume of the package is 378 inch³.
