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3 years ago

Which of the following BEST describes an EULER PATH?

Mathematics

1 answer:

alexandr402 [8]3 years ago

4 0

A path that goes through every EDGE once and starts and ends at different vertices.

Step-by-step explanation:

Euler path - uses every edge of a graph exactly once

Euler circuit - uses every edge of a graph exactly once

Euler path - starts and ends at different vertices

Euler circuit - starts and ends at the same vertex

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A sports club has 38 members. They all play either squash or tennis.

Brut [27]

Step-by-step explanation:

Since we have given that

Total number of members in a sports club = 38

Number of women in the club = 14

Number of women play tennis =10

Number of men play tennis = 8

Since they all play either squash or tennis.

Total number of men in the club is given by

$38-14\\\\=24$

So, number of men playing squash is given by

$24-8\\\\=16$

Number of women playing squash is given by

$20-16\\\\=4$

so, the table is shown below :

Men Women Total

Tennis 16 4 20

Squash 8 10 18

Total 24 14 38

6 0

3 years ago

Mr. Cruise drove 70 miles in March he drove seven times as many miles in March as he did in January he drove four times as many

SVEN [57.7K]

70/7= 10 miles in January
10/4 = 2.5 miles in February

5 0

3 years ago

A line is drawn on a coordinate grid by the equation y = 4. Which of the following lines would represent a row parallel to it?

dedylja [7]

Y = and then any number you want to put there

8 0

3 years ago

Read 2 more answers

Use the formula for the cosine of the difference of two angles to find the exact value of the following expression.

Zolol [24]

Answer:

Exact value of Cos(45° - 60°) is 0.96 using difference of two angles.

Step-by-step explanation:

Given:

Cos(45° - 60°)

We have to apply the formula of cosine for difference of the two angles.

Formula:

$cos(a-b)=cos(a)\ cos(b)+sin(a)\ sin(b)$

Plugging the values.

⇒ $cos(45-60)=cos(45)\ cos(60) + sin(45)\ sin(60)$

We know that the values :

$sin(45) =cos(45) = \frac{1}{\sqrt{2} }$

$sin(60)=\frac{\sqrt{3} }{2}$ and $cos(60)=\frac{1}{2}$

So,

⇒ $cos(45-60)=(\frac{1}{\sqrt{2} } \times \frac{1}{2} ) + (\frac{1}{\sqrt{2} } \times \frac{\sqrt{3} }{2})$

⇒ $cos(45-60)=(\frac{1}{2\sqrt{2} } + \frac{\sqrt{3} }{2\sqrt{2} })$

⇒ $cos(45-60)=(\frac{1+\sqrt{3} }{2\sqrt{2} } )$

⇒ $cos(45-60)=(\frac{1+\sqrt{3} }{2\sqrt{2} } )\times \frac{2\sqrt{2} }{2\sqrt{2} }$ ...rationalizing

⇒ $cos(45-60)=\frac{2\sqrt{2} +2\sqrt{6} }{ 8}$

⇒ $cos(45-60)=\frac{2(\sqrt{2}+\sqrt{6})}{8}$ ...taking 2 as a common factor

⇒ $cos(45-60)=\frac{(\sqrt{2}+\sqrt{6})}{4}$

To find the exact values we have to put the values of sq-rt .

As, $\sqrt{2}=1.41$ and $\sqrt{6} =2.44$

Then

⇒ $cos(45-60)=\frac{( 1.41+2.44)}{4}$

⇒ $cos(45-60)=\frac{( 3.85)}{4}$

⇒ $cos(45-60)=0.96$

So the exact value of Cos(45° - 60°) is 0.96 using difference of two angles.

3 0

3 years ago

What’s a function in math

Norma-Jean [14]

Answer:

A relation from a set of inputs to a set of possible outputs where each input is related to exactly one output

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers