Is - 6.06 rational?

Answers

Answer 1
Answer: It is indeed

That is because it is a real number that can be expressed as a fraction which is the criteria for rationality in numbers.

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Express "a number x plus the square root of a number y" as an algebraic expression

Answers

Answer:

x + √y

Step-by-step explanation:

A number x plus the square root of a number y

There are two variables involved

Variable x

Variable y

Plus means addition

Square root of y can be written as

√y

A number x plus the square root of a number y can be written as

x + √y in algebraic expression

The answer is x + √y

An airplane is flying in still air with an airspeed of 475 miles per hour. The plane is climbing at an angle of 16°. Find the rate at which the plane is gaining altitude. (Round your answer to four decimal places.)

Answers

Rate of gaining altitude is ratio of height gained to time spent. The rate at which the plane is gaining altitude is  130.9 miles per hour.

How to measure the rate of change of something as some other value changes?

Suppose that we have to measure the rate of change of y as x changes, then we have:

Rate = (y_2 - y_1)/(x_2 - x_1)

where we have

\rm when \: x=x_1, y = y_1\nwhen\: x = x_2, y= y_2

Remember that, we divide by the change in independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.

(5 change per 3 unit can be rewritten as 5/3 change per 1 unit)

For the given case, the rate at which the plane is gaining altitude is the ratio of the height it gains per unit time(here per hour).

Referring to the diagram attached below, as he will walk 475 miles per hour(which is constant, this can be taken as hypotenuse's length.

The length BC is the height the plane gain each hour as he covers 475 miles in slantdirection.

Using the sin ratio, and measuring from the angle A, we get:

\sin(A)= (|BC|)/(|AC|)\n\n\sin(16^\circ) = (|BC|)/(475)\n\n|BC| \approx 0.2756  * 475 \approx 130.9 \: \rm miles\n\n

Thus, the height gained by plane per hour is 130.9 miles.

Rate of height gaining = (new height - old height)/(1 hour)

Rate of height gaining = (old height + 130.9 miles - old height)/1 hour

Rate of height gaining = 130.9 miles per hour.

This is the rate at which the plane is gaining altitude(since it is ratio of how much height it gains to how much time is spent gaining that height)

Hence, The rate at which the plane is gaining altitude is  131.1 miles per hour.

Learn more about trigonometric ratios here:

brainly.com/question/22599614

Answer:

130.9 miles per hour.

Step-by-step explanation:

sine 16 = x / 475 where x = rate of gaining altitude.

x = 475 sin 16

= 130.9 miles per hour.

Jenny James has score of 78 89 90 and 96 on her first four test what score should she make out of 100 points in order to have at least an average of 90

Answers

Answer:

Jenny James would need to have a score of 97 out of 100 points in order to have an average of 90.

Step-by-step explanation:

Given that:

Scores of four tests

78, 89, 90 and 96

Let,

x be the score on fifth test.

Average is the sum of quantities divided by total number of quantities.

Average = 90

Average = (Sum\ of\ scores)/(No.\ of scores)

Putting the values in the formula;

90=(78+89+90+96+x)/(5)\n90=(353+x)/(5)\n90*5=353+x\n450=353+x\n450-353=x\nx=97

Hence,

Jenny James would need to have a score of 97 out of 100 points in order to have an average of 90.

The sum of two consecutive integers is 59. Write an equation that models this situation and find the values of the two integers.A.) n+n+1=59;n=30;n+1=31
B.) n+2n=59;n=19;2n=38
C.) n+n+1=59;n=29;n+1=28
D.) n+n+1=59;n=29;n+1=30

Answers

An equation that models this situation: n + n +1 = 59 ( two consecutive integers: n, n+1 and their sum is 59)
2 n+1 = 59
2 n = 58
n = 58 : 2
n = 29,   n + 1 = 30
Answer:D) n + n + 1 = 59,  n = 29, n + 1 = 30

Answer:

D) n + n + 1 = 59,  n = 29, n + 1 = 30

Step-by-step explanation:

two car rental companies have different rental plans. Sand's Car Rental charges $50 a day and 10 cents every mile traveled. Beach Car Rental charges $60 dollars a day and no per mile charge. How many days would the trip need to be to make the costs equal, if the trip total was 300 miles?

Answers

3 days would give an equal total of %180

Anyone know it’s middle school work

Answers

Answer:

B

Step-by-step explanation:

Using the conversion

1 Kg = 1000 g , then

3745 ÷ 1000 = 3.745 Kg