Assuming that the jet cruises at this constant speed, how long do the pilots' watches measure for a complete circumnavigation of the globe? the radius of the earth is about 6380 km.

Given info:- [tex]\textsf{If (√3+√2)/(3√2-2√3) = x+y√6,} [/tex]

[tex]\textsf{then find the value of x and y?}[/tex]

Explanation:-

[tex]\textsf{Consider LHS=}\\[/tex]

[tex] \rm \: \frac{ \sqrt{2 } + \sqrt{3} }{3 \sqrt{2} - 2 \sqrt{3} } \\ [/tex]

[tex] \rm \: = \frac{ \sqrt{2 } + \sqrt{3} }{3 \sqrt{2} - 2 \sqrt{3} } \times \frac{3 \sqrt{2} + 2 \sqrt{3} }{3 \sqrt{2} + 2 \sqrt{3} } \\ [/tex]

[tex] = \rm \: \frac{( \sqrt{2 } + \sqrt{3} )(3 \sqrt{2} + 2 \sqrt{3} )}{(3 \sqrt{2} - 2 \sqrt{3})(3 \sqrt{2} + 2 \sqrt{3}) } \\ [/tex]

[tex] \rm \: = \frac{3 \sqrt{2 \times 2} + 2 \sqrt{3 \times 2} + 3 \sqrt{2 \times 3} + 2 \sqrt{3 \times 3} }{(3 \sqrt{2} {)}^{2} - (2 \sqrt{3} {)}^{2} } \\ [/tex]

[tex] \rm = \frac{3 \times 2 + 2 \sqrt{6} + 3 \sqrt{6} + 2 \times 3}{18 - 12} \\ [/tex]

[tex] \rm \: = \frac{12 + 5 \sqrt{6} }{6} \\ [/tex]

[tex] \rm \: = 2 + \frac{5}{6} \sqrt{6} \\ [/tex]

[tex] \rm \therefore \: 2 + \frac{5}{6} \sqrt{6} = x + y \sqrt{6} \\ [/tex]

[tex]\textsf{On, comparing with RHS we notice that:}\\[/tex]

[tex]\textsf{the value of x = 2 and y = 5/6.}\\[/tex]

[tex]\bf{Read more:}[/tex]

[tex]\textsf{Similar questions}\\[/tex]

[tex] \sqrt{6} + \sqrt{11} \div \sqrt{5} + \sqrt{3} [/tex] A. [tex] \sqrt{30} + 3 \sqrt{2} + \sqrt{55} + \sqrt{33} \div 8[/tex] B. [tex] \sqrt{30} - 3 \sqrt{2} ...

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Answer:

0

Step-by-step explanation:

Sin 30° = ½

Cos 30° = √3/2

Sin 60° = √3/2

Cos 60° = ½

Therefore,

(½ + √3/2) - (√3/2 + ½)

[tex] \frac{1 + \sqrt[]{3} }{2} - \frac{ \sqrt{3 + 1} }{ 2 } [/tex]

[tex] \frac{1 + \sqrt{3} - \sqrt{3} - 1}{2} [/tex]

[tex] \frac{0 - 0}{2} [/tex]

Answer: 0

For more information on trigonometric refer to this link

Answer:

velocity

Step-by-step explanation:

The velocity of the object is continually changing.  This velocity is the slope of the tangent line to the curve at a given point on the curve.

The corrected sentence is: When an object moves in a circle, the velocity of the object is continually changing.

Circular motion involves not only changes in the object's orientation or direction but also changes in its velocity.

Velocity includes both the speed of the object's movement and its direction. As an object moves around a circle, even if it maintains a constant speed, its velocity is changing because the direction in which it is moving is always changing.

This change in velocity is what allows the object to maintain its circular path rather than moving in a straight line.

Learn more about Velocity

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#SPJ3

Answer:

To change a rectangular equation to a polar equation just replace x with r cos θ and y with r sin θ .

Answer:9810

Step-by-step explanation:

S.I. = PRT/100

9000 ×4.5 × 2/100

S.I = 810

Amount after 2 years = 9000+810

= 9810

Answer: $4526

Step-by-step explanation:

Ratio of employees to cash

157:710528

Divide both sides by 157 to find how much 1 employees is paid

1: 4526

Answer:

710 582 - salary of all employees in a month

157 - number of employees

The monthly salary of each employee is 4526.

The 4526 is obtained by dividing the salary of all employees to their number which is 157.

The question is, "What is the salary of 1 employee assuming all are paid EQUALLY?"

To get it, just multiply 4526 into 12 (annually). So the answer is 54312

Answer:

Look at photo

Step-by-step explanation:

Answer:

13 ≈ 10 miles

Step-by-step explanation:

Have a nice day

You start driving east for 5 miles, turn left, and drive north for another 12 miles. At the end of driving So, the straight-line distance from your starting point is 13 miles.

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|^2 = |AB|^2 + |BC|^2    

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

You start driving east for 5 miles, turn left, and drive north for another 12 miles. At the end of driving,

[tex]|AC|^2 = |AB|^2 + |BC|^2 \\\\|AC|^2 = |5|^2 + |12|^2 \\ \\|AC|^2 = 25 + 144 \\\\AC = \sqrt{169} \\\\AC = 13[/tex]

Learn more about Pythagoras' theorem here:

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Answer:

I believe that its C, but don't get mad at me if I get it wrong

Answer:

33343555

4

3

4

34

2354555444

5224

34

32555555

555

5

32

55233=3=44

Step-by-step explanation:

12*14=168

Hope this helps!

Answer:

X over y or x/y since y is claire and she skated more

Step-by-step explanation:

Pls brainliest

Answer:

I might be wrong i think its C but double check and dont put it in until you are sure its right

Step-by-step explanation:

Answer:

-x + 5y = 4

5y = x + 4

y = x/5 + 4/5

Slope: 1/5

Y-intercept: 4/5

5y - x = 15

5y = x + 15

y = x/5 + 3

Slope: 1/5

Y-intercept: 3

2y - 3x = 7

2y = 3x + 7

y = 3/2x + 7/2

Slope: 3/2

Y-intercept: 7/2

2y = 5x + 7

y = 5/2x + 7/2

Slope: 5/2

Y-intercept: 7/2

answer is 2.2 66 88862 u88272

Answer: 2, 2

Brainly?

Answer:

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Step-by-step explanation:

[tex](x + 4)(x - 5)[/tex]

#carryonlearning

see the attachment for the explanation

Answer:

31:18:12

............................

Anser

(b2 – 4ac). sorry if this doesnt help it doesnt make sense on my screen it shows a weird equation

Step-by-step explanation:

Answer:

180 adults, 164 children

Step-by-step explanation:

Assuming all the people admitted are children,

total fees collected

= 344($3.50)

= $1204

Difference in amount collected

= $1870 -$1204

= $666

This difference in amount is due to the extra cost from each adult admission fee that we assumed to be children.

Difference in each admission fee

= $7.20 -$3.50

= $3.70

Number of adults admitted

= $666 ÷$3.70

= 180

Number of children admitted

= 344 -180

= 164

We want to find the distance that Jill and her friend must walk, we will see that the distance is (1 + 1/6) miles

So the total distance of the travel is:

(3 + 1/2) miles.

2/3 of that distance are made in the car, then the other 1/3 is the distance that they must walk. A rough sketch of the situation is shown at the end.

Then we must solve:

(1/3)*(3 + 1/2) miles = ((1/3)*3 + (1/3)*(1/2)) miles

= (1 + 1/6) miles

So the distance that they must walk is (1 + 1/6) miles

If you want to learn more, you can read:

https://brainly.com/question/14709125

[tex] \frac{2}{5} \times \frac{4}{7} + \frac{21}{35} \\ = \frac{8}{35} + \frac{21}{35} \\ = \frac{8 + 21}{35} \\ = \frac{29}{35} [/tex]

[tex] \frac{29}{35} [/tex]

Hope it helps.

Do comment if you have any query.

Answer:

1. No

2. No

3. No

4. Yes

Step-by-step explanation:

Insert each y value into the equation. If it equals -14, then it is a solution to the equation. The only one of these y values that is a solution is the last one, -2.

8 * (-2) = -16

-16 + 2 = -14

So y = -2 is a solution.