A regular hexagon is composed of 6 regular triangles whose area is equal to half of the product of the apothem and side.
A - triangle = (1/2)(a)(s) = (1/2)(1.7 cm)(2 cm) = 1.7 cm²
Multiplying this area by 6 to get the area of the hexagon gives as the answer which is 10.2 cm². Therefore, the answer is letter D.
Answer:
x = 600 m
y = 1200 m
Amax = 720000 m²
Step-by-step explanation:
Let call x the smaller side of the rectangular plot and y the largest ( we assume we have one y side bounded by a river: Then
A(p) Area of the plot x*y
A(p) = x*y
And perimeter of the plot ( to be fenced ) is:
P(p) = 2*x + y = 2400 ⇒ y = 2400 - 2*x
Area of rectangular plot as function of x:
A(x) = x * ( 2400 - 2x )
Taking derivatives on both sides of the equation
A´(x) = ( 2400 - 2x ) + (-2) *x ⇒ A´(x) = ( 2400 - 2x ) - 2x
A´(x) = 0 ⇒ 2400 - 4x = 0 ⇒ 4x = 2400
x = 600 m
And y = 2400 - 2*x
y = 2400 - 1200
y = 1200 m
And the largest enclosed area is Amax = 1200*600
Amax = 720000 m²
Answer:
1. x= 122(answer on pdf=n)
2. x=38(answer on pdf=s)
7. x=26(answer on pdf=l)
8. x=14(answer on pdf=p)
13. x=22(answer on pdf=b)
14. x=12(answer on pdf=k)
Step-by-step explanation:
Supplementary angle for number 1 so 58+x=180
180-58=x=122
Number 2 is a complimentary angle so 52+x=90
90-52=x=38
Number 7 is a complimentary angle so 64+x=90
90-64=x=26
Number 8 it states that the angles are equal so 4x=56
56/4=x=14
Number 13 is a supplementary angle so (6x-2)+50=180
(180-50+2)/6=x=22
132/6=x=22
Number 14 is complimentary so 8x-6=90
96/8=x=12
The converse of a logicalstatement is a s tatement formed by reversing the parts of the statement.
For example, the logical statement "A implies B" has a converse of "B implies A"
The linear pairs theorem states that "<span>if two angles form a linear pair, then they are supplementary".</span>
The converse of the linear pairs theorem is therefore, "if two angles are suplementary, then they form a linear pair".
