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Nadusha1986 [10]

3 years ago

7

Are the corresponding sides of similar hexagons are always congruent

1 answer:

Lerok [7]3 years ago

7 0

Two polygons are similar if their corresponding angles are congruent and their sides are in proportion.

The sides could be in a ration of 1:1 in which case the two hexagons have corresponding sides that are congruent, but they do not have to be. It could be the case that the sides of one are twice the length of the other so the ratio is 2:1. In this case the hexagons have the same shape but not the same size.

So the answer is this, the corresponding sides of similar hexagons may be congruent but do not have to be.

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Find the critical numbers of the function. (Enter your answers as a comma-separated list. Use n to denote any arbitrary integer

lyudmila [28]

If

$f(\theta)=10\cos\theta+5\sin^2\theta$

then the derivative is

$f'(\theta)=-10\sin\theta+10\sin\theta\cos\theta$

Critical points occur where $f'(\theta)=0$ . This happens for

$-10\sin\theta+10\sin\theta\cos\theta=0$

$-10\sin\theta(1-\cos\theta)=0$

$\implies-10\sin\theta=0\text{ or }1-\cos\theta=0$

In the first case, we find

$-10\sin\theta=0\implies\sin\theta=0\implies\theta=n\pi$

In the second,

$1-\cos\theta=0\implies\cos\theta=1\implies\theta=2n\pi$

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3 0

3 years ago

Janine inflated a ball to a radius of 18cm and another ball to a radius of 12cm. How much greater was the volume of the air in t

bagirrra123 [75]

Answer:

17,182.08 cm³

Step-by-step explanation:

6 0

3 years ago

On the Richter scale, the magnitude, M, of an earthquake is given by M= 2/3logE/Eo, where E is the energy released by the earthq

Ivahew [28]

Answer:

See below

Step-by-step explanation:

Part A

<em><u>Formula</u></em>

M = 2/3 * log(E/Eo)

<em><u>Givens</u></em>

M = ??

E = 2 * 10^15 joules

Eo = 10^4.4

<em><u>Solution</u></em>

M = (2/3) * log(2 * 10^15 / 10^4.4)

M = (2/3 ) log (7.96 * 10 ^ 11)

M = (2/3) * 11.901

M = 7.934

Part B

What the question is saying is that E/Eo = 10000

You don't have to figure out exact values.

M = 2/3 * log(10000)

M = 2/3 * 4

M = 8/3 or 2 2/3 or 2.66667

If you have choices, please list them.

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3 years ago

Find the distance between the given points . find the midpoint of the segment with the given endpoints. round to the nearest ten

iris [78.8K]

Whete are the given points, is thee a picture

5 0

3 years ago

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Naddik [55]

I must assume that you meant the following:

10(Q-3R)

P = ----------------

R

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Rearranging these terms so that powers of R are in descending order:

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30

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3 years ago