4/3 of the area of the larger hexagon to the area of the smaller hexagon
Let the sides of the interior hexagon be 2 cm long, then this hexagon is made up of 6 equilateral triangles of side = 2.
The area of this hexagon = 6 * 1 * sqrt3 = 6 sqrt3 ( as the triangle is made up of 2 60-30-90 triangles)
The exterior hexagon is made up of 6 equilateral triangles with altitude 2 and the area = 6 * 2 * (2 / sqrt3 ) = 24 / sqrt3
area exterior hex / interior hex = 24 / sqrt3 * 1 / 6sqrt3 = 24/18
= 4/3
Required ratio = 4/3 answer
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Answer:
5 8/15 Gallons
Step-by-step explanation:
Step 1: Change mixed numbers into improper fractions.
14 1/5 = 71/5
8 2/3 = 26/3
Step 2: Change the improper fractions to have the same denominator.
71/5 = 213/15
26/3 = 130/15
Step 3: Subtract
213/15 - 130/15 = 83/15
Step 4: Simplify
83/15 = 5 8/15
Hope this helps! :D
Step-by-step explanation:
< i'll use this too represent angle
this is only presuming that this is a parallelogram and i also don't know what those numbers mean
< ACB = < CAD (alt <s of DA II CB) A
< ACD = < CAB (alt <s of DC II AB) A
AB is common S
therefore, ∆ADC is congruent to ∆CBA
if ∆ADC is congruent to ∆CBA
then < ADC = < CBA
The answer is 20 pt. Hope this helped
Answer:
10.4 miles
Step-by-step explanation:
i took the flat rate off since its mandantory then i took tht sum and divided by3.20 which is the rate per mile and i got 10.4
