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kykrilka [37]
3 years ago
8

The lengths, in order, of four consecutive sides of an equiangular hexagon are 1, 7, 2 and 4 units, respectively. what is the su

m of the lengths of the two remaining sides?

Mathematics
1 answer:
Scilla [17]3 years ago
8 0
Let ABCDEF be an equilanqular hexagon with consecutive sides 1,7,4,2, respectively. All angles of this hexagon are equal to 120° (because total anglea sum is 720°).

Draw lines: CG parallel to ED, PG and AH parallel to BC and EG parallel to CD. You obtain three parallelograms CGED, PGEF, ABCH and one trapezoid APGH.

Since CGED is parallelogram, CG=ED=2, GE=CD=4.

Since ABCH is parallelogram, AH=BC=7, AB+CH=1. Then GH=CG-CH=2-1=1.
Since PFEG is parallelogram, PF=EG=4, EF=PG. Let's find GP. APGH is equilateral trapezoid, then AP=GH=1 ahd thus FA=1+4=5 and GP=AH-0.5-0.5=7-0.5-0.5=6.

Answer: All sides have lengths 1,7,4,2,6,5, respectively.










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morpeh [17]

Answer:

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* Lets revise the chain rule in the derivative

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∴ dy/dx = dy/da ÷ dx/da = m ÷ n = m/n

* In our problem we have

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- The common element between the circumference and the area

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* We must to find dC/dr and dA/dr and use the chain rule to

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∵ dC/dt = 0.5 meters/minute ⇒ (2)

- Divide (1) by (2) to get dr/dt by using chain rule

∵ dC/dt ÷ dC/dr = 0.5 ÷ 2π

∴ dC/dt × dr/dC = 0.5 × 1/2π ⇒ cancel dC together and change

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∴ dr/dt = 1/2 × 1/2π = 1/4π ⇒ (3)

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∵ A = πr²

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∴ dA/dr = 2πr

∵ r = 4

∴ dA/dr = 2π(4) = 8π ⇒ (4)

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∵ dA/dr × dr/dt = 8π × 1/4π ⇒ divide 8 by 4 and cancel π

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* The rate of change of the area of the circle when the radius is

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3 years ago
Use the Euclidean algorithm to find the greatest common divisor d of 313,626 and 152,346. Then use this algorithm to find intege
Marat540 [252]

313,626 = 2 * 152,346 + 8934

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g Explain the difference between explanatory and response variables. Is it important to distinguish between the two in linear re
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Answer: See explanation

Step-by-step explanation:

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It should also be noted that it is important to distinguish between the response variable and the explanatory variable in a linear regression.

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If it costs 3n+5, you have to plug 7 in for n and solve. 3(7)+5=26 so $26 

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