Helppppppppppppppppp

Which one is a rational number?

algol [13]

Answer:

0.303003000...

A rational number is either a terminating or non-terminating but recurring (repeating) decimal.

A rational number may be positive, negative or zero.

Examples:

The sum, difference and the product of two rational numbers is always a rational number.

3 0

4 years ago

A small radio transmitter broadcasts in a 30 mile radius. If you drive along a straight line from a city 33 miles north of the t

Paha777 [63]

Answer:

34.26miles from 49.58miles of the drive (69.11% of the drive).

Step-by-step explanation:

A problem of Analytic Geometry. This question can be solved using the resulting values from equaling the equations of the line (for the drive) and circle (with radius equals 30miles for radio transmitter broadcasting), and calculating the total distances from coincident points between circle and line, and total drive.

A graph is attached showing part of the circle and line with coincident points.

<h3>Line's Equation</h3>

Assuming transmitter is located (0, 0). From a city 33 miles north of the transmitter (0, 33) to a second city 37 miles east of the transmitter (37, 0).

Then, the equation for the line is (taking the two points from the start to the end):

$\\ y-y_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}*(x-x_{1})$

$\\ y-33=\frac{0-33}{37-0}*(x-0)}$

$\\ y-33=\frac{-33}{37}*x}$

$\\ y=\frac{-33}{37}*x} + 33$ [1]

<h3>Circle's Equation</h3>

The equation for the circle whose center (0, 0) is:

$\\ (x-0)^2 + (y-0)^2 = 30^2$

$\\ x^2 + y^2 = 30^2$

$\\ y^2 = 30^2 - x^2$

$\\ y = \frac{+}{-}\sqrt{30^2- x^2}$ [2]

Equaling [1] and [2], to determine the points where starting to receive the radio transmitter signals to the point where finishing those signals:

$\\ \frac{-33}{37}*x + 33 = \sqrt{30^2- x^2}$

Solving this equation for <em>x</em>, we have two solutions for it (from <em>WolframAlpha</em>):

$\\ x_{1} = 40293/2458 - (111 \sqrt(80151))/2458 \approx 3.60775$

$\\ x_{2} = 40293/2458 + (111 \sqrt(80151))/2458 \approx 29.1774$

Then, using [1], the corresponding values for <em>y</em> are:

$\\ y_{1}=\frac{-33}{37}*(3.60775) \approx 29.78$

$\\ y_{2}=\frac{-33}{37}*(29.1774) \approx 6.97$

So,

$\\ (x_{1}=3.61, y_{1}=29.78)$

$\\ (x_{2}=29.18, y_{2}=6.97)$

Well, the distance of the drive is:

$\\ d = \sqrt{(x_{2}-x_{1})^2 + (y_{2}-y_{1})^2}$

$\\ d = \sqrt{(29.18-3.61)^2 + (6.97-29.78)^2}$

$\\ d \approx 34.2654$ miles.

The total distance traveled is:

$\\ d = \sqrt{(37-0)^2 + (0-33)^2}$

$\\ d \approx 49.5782$ miles

Thus, during the drive, the signal of the radio transmitter was picked up for 34.26miles from the total of the 49.58 traveled, that is, a fraction equivalent to $\\ \frac{34.2654}{49.5782} \approx 0.6911$ or 69.11% of the drive.

4 0

3 years ago

Anica says that she can rewrite ANY subtraction problem as an addition problem. Is she correct? Explain how you know!

Mekhanik [1.2K]

Yeah i think so because
5-2=3
3+2=3
?

70-20=50
50+20=70
idek

3 0

3 years ago

Read 2 more answers

Which of the following types of statement cannot be used to explain the steps of a proof? Check all that apply. A.Postulate B.Gu

wlad13 [49]

Answer:

Guess and Conjecture

Step-by-step explanation:

Conjecture is simply an opinion gotten from an incomplete information .Fro example. 10 boys selected from Nigeria were served pizza. None of them ate pizza.

it is a conjecture to conclude that all the males in Nigeria do not eat pizza, because the information is incomplete

Guess is almost similar to conjecture. It is conclusion from incomplete information. It is based on one's personal opinion. Guess can be true or false. it is underprobaility and hence cant be banked upon to explain a proof.

3 0

3 years ago

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What is the approximate percent increase when the population of a town increases from 12,089 to 15,025? Round the population amo

LUCKY_DIMON [66]

The percent increase is 25%. Sorry if it is wrong.

6 0

3 years ago

Read 2 more answers