Step 1
Find the area of one equilateral triangle
Applying the law of sines

in this problem
a=b=7 cm
C=60 degrees
so

cm²
Step 2
To calculate the area of the hexagon multiply the area of one equilateral triangle by 
cm²
therefore
the answer is the option
73.5 sqrt 3cm²
Answer:
y=3/2x+1
Step-by-step explanation:
y-4= -⅔(x-6)
y-4=-⅔x+4
y=-⅔x+4+4
(equation of line 1) y= -⅔x+8 gradient= -⅔
(line 2)gradient=3/2
note* the gradients of perpendicular lines multiplied result to -1
gradient=<u>y²-y²</u>
<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>x²-x¹
<u>3</u><u> </u>=<u>y</u><u>+</u><u>2</u>
<u> </u><u> </u>2. x+2
multiply both sides by 2(x+2)to remove the denominators
3(x+2)=2(y+2)
3x+6=2y+4
3x+6-4=2y
3x+2=2y
divide all sides by 2
3/2x+1=y
y=3/2x+1
Answer:
Assuming the group of the candidates is ordered the same way as the votes they received, Margaret O'Conner received the MOST votes, at 12,926, while Leonard Hansen received the LEAST votes, at 12,409.
Answer:
y = 36x
Step-by-step explanation:
Given that y varies directly as x, then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 18 when x =
, thus
k =
=
= 36
y = 36x ← equation of variation
Answer:
Both the equations landed on point ( 15.167 , 8.267 )
Step-by-step explanation: