Answer:
a.
b.
Step-by-step explanation:
Dimensions of rectangular piece of cardboard=
According to question
Length of box,l=10-2x
Breadth of box,b=6-2x
Height of box,h=x
a.
Volume of box=
Substitute the values in the formula
Volume of box=

b.Surface area of box=
Because the box has no lid
Substitute the values in the formula
Surface area of box=
Surface area of box=
Surface area of box=
Surface area of box=
Surface area of box, S(x)=
Formula of the slope of a linear function:
m = (y₂ - y₁)/(x₂ - x₁)
m= (-1 - 6)/[0- (-5)]
m= -7/5 This is the slope requested
Of course! so basically for each value of x, for example -6, plug it into the equation. so for -6 do -2/3(-6)+7. hope this helps!
Answer:
Step-by-step explanation:
The formula for determining the length of an arc is expressed as
Length of arc = θ/360 × 2πr
Where
θ is the central angle formed at the center of the circle.
r represents the radius of the circle.
π represents a constant whose value is 3.14
From the information given,
r = 21 inches
θ = 25 degrees
Length of arc formed = 25/360 × 2 × 3.14 × 21 = 9.2 inches,