let's say
A(-3,1) B(-3,5) C(4,1)
we need to find the perimeter of ABC for that we find each of the sides
AB BC and AC
there is a formula to find the distance between 2 poins
let's say that a point has the structure A(x1,y1) where x=-3 and y=1 and B(x2,y2) where x2=-3 and y2=5
AB=
AB=
AB=
AB=4
we do the same thing for AC and BC
AC=
AC=
AC=7
BC=
BC=
BC=
BC=
The perimeter is equal to the sum of the sides
P=AB+AC+BC=4+7+=11+
Answer: a) Q= 5units
b) R= $75
Step-by-step explanation:
The maximum revenue is at dR/dq = 0
Revenue = price x quantity of demand = p × q
Substituting p = 30- 3q
R = (30-3q) × q
R= 30q- 3q2 (q2 = q raised to the power of 2)
dR/dq = 30- 6q = 0
6q = 30
q= 30/6= 5
q= 5 units
R = pq= 30q- 3q2
R= 30(5) - 3( 5×5)
R= 150- 75
R= $75
Goodluck...
Area of circle: A=pi×r². This area coresponds to 360degrees, or 2×pi radians.
2×pi ....... pi×r²
t radians....x
where t=2.75rads
Area of t: x=pi×r²×t/2/pi=r²×t/2
Area of t: 3²×2.75/2=9×2.75/2=12.375
Answer: the area of 2.75 radians is 12.375
Answer: Perimeter = 72.67
Area = 363.3
Step-by-step explanation:
The given polygon is a pentagon. The apotherm is the perpendicular line from the midpoint of the Pentagon to the base of one of its sides.
The formula for determining the area of a regular polygon is expressed as
Area = a² × n × tan 180/n
Where n represents the number of sides of the polygon.
n = 5
Apotherm = 10
Therefore,
Area = 10² × 5 × tan(180/5)
Area = 500 × tan 36
Area = 363.3
The formula for determining the perimeter of a regular polygon is
P = 2 × area/apotherm
Perimeter = 2 × 363.3/10
Perimeter = 72.67
