PLEASE ANSWER FAST!!!! NEED TO UNDERSTAND!!!

PLEASE ANSWER FAST!!!! NEED TO UNDERSTAND!!!

Answers

Answer 1

Step-by-step explanation:

X component  = 4.5 - 2.1  =   2.4

Y component  = 7.8 - 2.1  =    5.7

Find magnitude using Pythagorean theorem

  m^2 = 2.4^2 + 5.7^2

    magnitude  = 6.18    units

Remember for a right triangle   tangent Φ = opposite leg / adjacent leg

    angle = arctan ( 5.7 / 2.4 )   = 67.2 degrees

PLEASE ANSWER FAST!!!! NEED TO UNDERSTAND!!!

Related Questions

The volume of a rectangular prism is 5,890.625cm3 . if the height is 14.5 cm and the length is 25 cm, with is the value of the width ?
A. 16.25 cm B. 16.5 cm C. 16.75cm D. 16.97cm

Answers

Answer:

Step-by-step explanation:

The answer is A. 16.25cm.

Explanation:-

We know,

The Volume of Prism  =height*width*length;

Here, In the question Height and length is given.

So We have to do a simple calculation to find,width=

(Vol of Prism)/Heigth*length;

=> 5890.625/(14.5*25)

=>16.25 cm .

We don't need to worry about dimensions because all are in the same cm dimensions.

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Answer:

A. 16.25 cm

Step-by-step explanation:

To solve for the volume of a rectangular prism, we would use the formula V = l·w·h, where:

"l" is the base length

"w" is the base width

"h" is the height of the prism

In this problem, we are given the volume, height, and length of the rectangular prism. That means we need to find the value of w, the base width. To do this, we plug our known values into the equation and solve for w.

5,890.625 = (14.5)(25)w

To get w by itself, we first divide each side of the equation by 14.5. Remember that when you divide a number by itself, they cancel out.

(5,890.625)/(14.5) = (14.5)(25)w/(14.5)

406.25 = (25)w

Next, we can divide each side of the equation by 25 to get our answer.

406.25/25 = (25)w/25

w = 16.25 cm

The type-1 error (false positive) for a carbon monoxide detector installed in your house is 0.05 and its type-2
error (false negative) is 0.03. The probability that a gas heater malfunctions and releases carbon monoxide is
very low, only 0.000007.

What is the probability that the carbon monoxide detector will not go off?

O 0.9998642
O 0.9499936
O 0.0500064
O 0.0001358

Answers

The probability that the carbon monoxide detector will not go off is approximately 0.9998642 (rounded to 7 decimal places),

Option A is the correct answer.

We have,

The probability of the carbon monoxide detector not going off can occur in two ways: either there is no carbon monoxide present, or there is carbon monoxide present but the detector fails to detect it.

The probability of the detector failing to detect carbon monoxide when it is present (type-2 error) is 0.03, and the probability of the gas heater malfunctioning and releasing carbon monoxide is 0.000007.

So the probability of the detector failing to detect carbon monoxide when it is present is:

0.03 x 0.000007

= 0.00000021

The probability of there being no carbon monoxide present is 1 minus the probability that the gas heater malfunctions and releases carbon monoxide, which is:

1 - 0.000007

= 0.999993

Now,

So the overall probability of the detector not going off is the sum of the probabilities of these two events:

0.999993 + 0.00000021

= 0.99999321

Therefore,

The probability that the carbon monoxide detector will not go off is approximately 0.9998642 (rounded to 7 decimal places), which is option A.

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Using the discriminant

Answers

Answer:

n = 20/3

Step-by-step explanation:

Theory about the discriminant, and how solutions are acquired via the quadratic formula

One variable quadratic equations in the form [tex]0=ax^2+bx+c[/tex] have exactly one solution when the discriminant [tex](b^2-4ac)=0[/tex].

This is because for quadratic equations of the original form, the two solutions are given by the quadratic formula:

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

which is equivalent to [tex]x=\dfrac{-b}{2a}\pm \dfrac{\sqrt{b^2-4ac}}{2a}[/tex].

The [tex]x=\dfrac{-b}{2a}[/tex] is the axis of symmetry, and the [tex]\dfrac{\sqrt{b^2-4ac}}{2a}[/tex] part is how much the solutions deviate from the axis of symmetry.  If the deviation is zero, then the two solutions are both ON the axis of symmetry, and are the same number, giving exactly one solution.

Addressing the given equation

Putting it into standard form

Given the given equation...

[tex](n-4)u^2+6=8u[/tex]

subtract 8u from both sides to obtain an equation that looks like the standard form equal to zero...

[tex](n-4)u^2-8u+6=0[/tex]

The variable here is "u" instead of "x", so the solutions to this equation would be [tex]u=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex], where [tex]a=n-4[/tex], [tex]b=-8[/tex], and [tex]c=6[/tex].

Identifying the discriminant

The discriminant then, with values of a, b, and c, substituted, becomes:

[tex]Discriminant=(-8)^2-4(6)(n-4)[/tex]

If we want the discriminant to equal zero (so that there is exactly one solution for "u"), substitute zero on the left side of the equation, and solve for n.

Solving for n

[tex]0=(-8)^2-4(6)(n-4)[/tex]

[tex]0=64-4(6)(n-4)[/tex]

[tex]0=64-24(n-4)[/tex]

Add -24(n-4) to both sides...

[tex]24(n-4)=64[/tex]

Divide both sides by 24...

[tex]n-4=\dfrac{64}{24}[/tex]

Reduce the right hand side...

[tex]n-4=\dfrac{8}{3}[/tex]

Add 4 to both sides...

[tex]n=\dfrac{8}{3}+4[/tex]

Find a common denominator...

[tex]n=\dfrac{8}{3}+\dfrac{12}{3}[/tex]

Find a common denominator...

[tex]n=\dfrac{20}{3}[/tex]

So, if [tex]n=\dfrac{20}{3}[/tex], then the equation [tex](n-4)u^2+6=8u[/tex] has exactly one solution.  Furthermore, this is the only value of "n" for which the equation has exactly one solution, because it is the only value of "n" for which the discriminant is zero.

If you look at these six numbers, you can see they range from 98 all the way to 642. Would the best interval to use for this group be 10 or 100?

Answers

If you look at the six numbers (101, 203, 407, 512, 98, 642) you can see they range from 98 all the way to 642. the best interval to use for this group be 100.

What is the range?

The right interval to utilize for this set of numbers depends on the aim of the analysis.

If we want to look on the single values and small differences between them, then using interval of 10 would be more better. This would give u room to see small changes that exist between adjacent numbers.

So,  in the event that we need to look on the full range and distribution of the numbers, an interval of 100 would be more better. This would permit us to see how the numbers are shared over a larger area of values.

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See full question below

If you look at these six numbers, you can see they range from 98 all the way to 642. Would the best interval to use for this group be 10 or 100?

101, 203, 407, 512, 98, 642

The bells obtain a 30-year, $90,000 conventional mortgage at a 10.0% rate on a house selling for $120,000. Their monthly mortgage payment, including principal and interest, is $783.00. They also pay 2 points at closing.
A)What is total amount the Bells will pay for their house.
B) How much of the cost will be interest (including the 2 points)?
C) How much of the first payment on the mortgage is applied to the principal?

Answers

The total amount that the Bells will pay for their house would be $313, 680.

The cost that would be interest is $193, 680

The amount of the first payment going to mortgages is $165. 24

How to find the total amount paid ?

Find the down payment :

Down payment = House price - Mortgage amount = $120,000 - $90,000 = $30,000

Then the points paid at closing :

= $ 90,000 x 0. 02 = $1,800

Total amount paid = Total mortgage payments + Down payment + Points cost

= 281, 880 + 30, 000 + 1, 800

= $ 313, 680

The total that is interest is:

Total interest paid = Total interest paid through monthly payments + Points cost

Total interest paid = $ 191, 880 + $ 1, 800 = $193, 680

The amount of the first payment going to principal is:

Principal portion of first payment = 90, 000 - 89, 834.76 = $165. 24

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- x²= +x +12=0 .....................................

Answers

Therefore, the solutions of the equation -x² + x + 12 = 0 are x = -3 and x = 6.

What is equation?

In mathematics, an equation is a statement that shows the equality between two expressions, typically separated by an equal sign (=). An equation can contain one or more variables, which are symbols that represent unknown or varying values. The value of the variable(s) can be found by solving the equation.

Here,

The given equation is:

-x² + x + 12 = 0

To solve for x, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

where a, b, and c are the coefficients of the quadratic equation ax² + bx + c = 0.

In this case, we have:

a = -1, b = 1, and c = 12

Substituting these values into the quadratic formula, we get:

x= (-1 ± √(1² - 4(-1)(12))) / 2(-1)

x = (-1 ± √(1 + 48)) / (-2)

x = (-1 ± √(49)) / (-2)

x = (-1 ± 7) / (-2)

There are two solutions:

x = (-1 + 7) / (-2)

= -3

x = (-1 - 7) / (-2)

= 6

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PLEASE HELP (1 point)
Let X be a continuous random variable with probability
distribution represented by the graph below.
Find P (X≤2).
f(x)

Answers

The probability P (X≤2). from the probability distribution is 1/3

Evaluating the probability from the probability distribution

A continuous random variable is a type of random variable that can take on any value within a specific range, often an infinite range.

It has a probability distribution function that describes the probability of the variable taking on certain values within that range.

This means that

P (X≤2) =  the f(x) value

From the graph, we have

P (X≤2) = 1/3

Hence, teh value is 1/3

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Can yall help me with this pls

Answers

Answer:

x=6.4

Step-by-step explanation:

2/3.2 = 4/x

2x=4(3.2)

2x=12.8

x=6.4

In 2015, there were roughly 1 x 10° high school football players and 2x 10° professional football players in the United States. About how many times more high school football players were there?​

Answers

The number of times more high school football players were there is 500.

Given that, in 2015, there were roughly 1×10⁶ high school football players and 2×10³ professional football players in the United States.

Here, the number of times more high school football players were there

= 1×10⁶/2×10³

= 1×10³/2

= 1000/2

= 500

Therefore, the number of times more high school football players were there is 500.

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"Your question is incomplete, probably the complete question/missing part is:"

In 2015, there were roughly 1×10⁶ high school football players and 2×10³ professional football players in the United States. About how many times more high school football players were there?​

The Ferris Wheel can carry 4 passengers in each of its 15 cars in one ride. How many passengers can it carry on a total of 35 rides?

Answers

The Ferris Wheel can carry 2100 passengers on a total of 35 rides.

According to the question,

Number of cars in the Ferry Wheel = 15

Number of passengers in each car = 4

∴ Number of passengers in 15 cars = 15×4 = 60

So, the number of passengers on the Ferry Wheel = 60

Now,

The number of passengers the Ferry Wheel carries in one ride = 60

∴ The number of passengers in 35 rides = 60×35 = 2100.

Hence the Ferris Wheel can carry 2100 passengers on a total of 35 rides.

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Help please

Condense to a single logarithm is possible

In(6x^9)-In(x^2)

Answers

The logarithm expression can be simplified to:

In(6x^9)-In(x^2) =7·ln(6x)

How to write this as a single logarithm?

There are some logarithm properties we can use here.

log(a) - log(b) = log(a/b)

log(a^n) = n*log(a)

(these obviously also apply to the natural logarithm)

Now let's look at our expression, it says that:

In(6x^9)-In(x^2)

Using the first rule, we can rewrite this as.

In(6x^9)-In(x^2) = ln(6x^9/x^2)

Now solving the quotient in the argument:

ln(6x^9/x^2) = ln(6x^7) = 7·ln(6x)

That is the expresison simplified.

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will mark brainliest

Answers

Answer:

$74.66

Step-by-step explanation:

Plot the points on the graphing calculator (x = length of HDMI cord, y = cost). Then generate a linear regression model:

y = 3.68x + 1.06 (approximately)

x = 20, so y = 74.66

$74.66 is the correct answer.

Find the slope of the line that passes through the given points.
​(−1​,−1​) and ​(3​,−4​)

Answers

Answer: [tex]\frac{-3}{4}[/tex]

Step-by-step explanation:

   To find the slope of the line, we will use change in y over change in x.

[tex]\displaystyle \frac{y_{2} -y_{1} }{x_{2} -x_{1} } =\frac{-4--1}{3--1} =\frac{-4+1}{3+1} =\frac{-3}{4}[/tex]

Mannys pay varies directly with the number of lawns he mows. He earns $100 for mowing 4 lawns. Find k in the equation for Mannys pay. Use P=kl

Answers

Answer:

10000

otra solución es: 10⁴

Select the correct answer.
Which set of coordinates satisfies the equations x − 2y = -1 and 2x + 3y = 12?

A.
(1, 2)
B.
(3, 1)
C.
(3, 2)
D.
(-3, -2)
E.
(3, -2)

Answers

The set of coordinates that satisfy the equation are as follows:

(2, 3)

How to solve equation?

The equation given is as follows:

x - 2y = -1

2x + 3y = 12

Therefore, let's find the set of coordinates that satisfies the equation. Hence,

x - 2y = -1

2x + 3y = 12

multiply equation(i) by 2

Hence,

2x - 4y = -2

2x + 3y = 12

Therefore, subtract the equations

7y = 14

divide both sides of the equation by 7

y = 14 / 7

y = 2

Let's find x as follows

x - 2y = -1

x = -1 + 2(2)

x = -1 + 4

x = 3

Therefore, the solution is (2, 3)

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fill it in The value of a certain investment over time is given in the table below. Answer the questions below to determine what kind of function would best fit the data, linear or exponential.
Number of Years Since Investment Made, x
1
2
3
4
Value of Investment ($), f(x)
14,944.54
16,357.04
17,974.72
19,891.18


function would best fit the data because as x increases, the y values change
. The
of this function is approximately
.

Answers

An exponential function would be more appropriate than a linear function, as exponential growth

the best function for the data

To determine which type of function best fits the data, we can analyze the difference in the y values (Value of Investment) as x increases.

Differences between consecutive y values:

16,357.04 - 14,944.54 = 1,412.50

17,974.72 - 16,357.04 = 1,617.68

19,891.18 - 17,974.72 = 1,916.46

The differences between consecutive y values are increasing as x increases. This suggests that an exponential function would be more appropriate than a linear function.

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I need help pleaseeee

Answers

(a) The value of the row operation of -2(row1) + row (2) is [-10     4    -12].

(b) The interchange of row 1 and row 2 is  [0     6    -3]

                                                                       [5    -2     6]

What is the row operation of the matrix?

The value of the row operation of -2(row1) + row (2) is calculated as follows;

-2 (row 1) = 2 [5   -2    6]

-2 (row 1) = [-10     4    -12]

The addition of -2(row1) to row (2) is calculated as follows;

[-10     4    -12] + [0    6    -3]

= [-10   10  - 15]

The interchange of row 1 and row 2 is calculated as follows;

R₁ ↔ R₂

= [5    -2     6]    =   [0     6    -3]

  [0     6    -3]         [5    -2     6]

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A principal of $3900 is invested at 4.25% interest, compounded annually. How much will the investment be worth after 5 years?

Answers

If principal of $3900 is invested at 4.25% interest, compounded annually, the investment will be worth approximately $4,756.89 after 5 years.

To calculate the future value of the investment, we use the formula for compound interest:

A = [tex]P(1 + r/n)^{(n*t)[/tex]

where A is the future value, P is the principal, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years.

In this case, P = $3900, r = 4.25%, n = 1 (compounded annually), and t = 5. Plugging these values into the formula, we get:

A = 3900(1 + 0.0425/1)⁵

A = 3900(1.0425)⁵

A ≈ $4,756.89

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Can someone help me please

here is the picture

Answers

The result of adding -4 (row 1) to row 3 is determined as (0  - 9   2)|12.

What is the result of the row multiplication?

The resultant of the row multiplication in the Matrice is calculated by applying the following method;

row 1 in the given matrices = [1  2  1] | -5

To multiply row by -4, we will multiply each entity by 4 as shown below;

= -4(1 2  1) | -5

= (-4  -8  - 4) |20

To add the result to 3;

(-4  -8  - 4)|20 + (4  - 1   6) | -8

= (0  - 9   2)|12

Thus, the result of the row multiplication is determined by multiplying each entry in row 1, by - 4.

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Which of the points plotted is farther away from (−7, 8), and what is the distance?

A: Point (5, 8), and it is 11 units away
B: Point (5, 8), and it is 13 units away
C: Point (−7, −5), and it is 12 units away
D: Point (−7, −5), and it is 13 units away

Answers

The distance between point (−7, 8) and point (5, 8) is 12 units (since they are on the same horizontal line). The distance between point (−7, 8) and point (−7, −5) is 13 units (using the Pythagorean theorem). Therefore, the point that is farther away is option D: Point (−7, −5), and it is 13 units away.

Select the reason that best supports Statement 5 in the given proof.

Answers

Where is the given proof

Researchers are analyzing the total annual cost for the top ranked universities. They need to display the data in a way that is helpful
for relaying information regarding the data.

Identify the advantage of using a dotplot (choose one) :

A- Easily identify outliers

B- Easily determine the total number of data points for larger data sets

C- Cannot determine the minimum or maximum

D-Cannot identify the exact median

Answers

One advantage of using a dot plot is that it makes it easy to identify outliers. Option A is correct.

An outlier is a data point that is significantly different from the others in the data set, either in terms of its value or its position within the range of values. In a dot plot, outliers are represented by individual dots that are far away from the other dots, either above or below them.

By looking at the dot plot, researchers can quickly identify any outliers and investigate them further to determine why they are different and whether they should be included or excluded from the analysis.

Hence, A. is the correct option.

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HELP FAST!!! EASY ALEGRA 2!

Answers

log base 16, 32 can be written as log₂⁴ 2₅.

Evaluate with logₐx, write a and x as powers of same.

a) log₁₆ 64

= log₂⁴=2⁶

b) log₈₁ 27

= log₃⁴ 3³

c) log₁₆ 32

= log₂⁴ 2₅

d) log₂₇ 243

= log₃³ 3₅

Therefore, log base 16, 32 can be written as log₂⁴ 2₅.

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Let S be a collection of subset of {2000, 2001, 2002, …, 2020} such that intersection of any two sets in S is nonempty. What is the maximum cardinality of S?

Answers

The maximum cardinality of S is 20.

How to find the maximum cardinality ?

To increase the number of subsets within S, our goal must be to find as many non-empty subset intersections as possible. This is achieved by constructing subsets that possess only one shared element. In this particular case, any two sets contained in the collection will include the element 2000 in their intersection causing it to become a valid subset.

Now, we shall investigate whether an additional subset can be added to S. If an extension exists without including 2000, its intersection with the previous 20 subsets would negligibly have no common elements and would hence not be regarded as a valid subset for addition into S.

As a result, a total of 20 subsets represent maximum cardinality for set S per these conditions.

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Triangle AABC, right angled at C, is given. Height and the median from point C form an angle y.
The measure of larger acute angle of AABC is:
A 45°-
B
C
D
60° +
90°
24
92
2
92
4

Answers

The measure of the larger acute angle of ΔABC is: α = 45° + φ/2. Option A.

How do you solve for  the larger acute angle of ΔABC ?

Let's denote the angles of triangle ΔABC as follows:

∠A = x

∠B = y

∠C = 90° (right-angled triangle)

Let D be the midpoint of AB, so CD is the median. Let E be the point on AB such that CE is the height from point C.

Since CD is the median, we know that angle ∠ECD = φ.

In right-angled triangle ΔCEB, we have:

∠CEB = 90° - y

Now, let's examine triangle ΔCED. We know that the sum of the angles in a triangle is 180°. Therefore:

∠CED + ∠CEB + ∠ECD = 180°

Substitute the known values:

∠CED + (90° - β) + φ = 180°

Since ∠CED and ∠A are supplementary angles, we can also write:

∠CED = 180° - x

Now substitute this value into the previous equation:

(180° - x) + (90° - y) + φ = 180°

Simplify the equation:

270° - x - y + φ = 180°

Subtract 90° from both sides:

180° - x - y + φ = 90°

From this equation, we get:

x + y = 90°

Substitute this value back into the equation involving φ:

180° - (90°) + φ = 90°

Simplify:

90° + φ = 90°

Therefore, the measure of the larger acute angle of ΔABC is:

x = 45° + φ/2 (option a)

the above answer is in response to the full question below;

Triangle ΔABC, right angled at C, is given. Height and the median from point C form an angle φ. The measure of larger acute angle of Δ ABC is:

a. 45⁰ + φ/2

b. 60⁰ + φ/2

c. 90⁰ - φ/2

d. 2φ

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The expression 5(2) gives the number of leaves on a plant as a function
of the number of weeks since it was planted.
What does 2 represent in this expression?
Choose 1 answer:
B
The plant was planted 2 weeks ago.
There were initially 2 leaves on the plant.
The number of leaves is multiplied by 2 each week.

Answers

Question:The expression 5(2) gives the number of leaves on a plant as a functionAnswer:

C: the number of leaves is multiplied by 2 each week

Step-by-step explanation

The proper expression ought to be 5(2) ^ t =5(2)^{t}

where t speak to the number weeks after it planted.

On the off chance that we put to the time(t) we are going know how numerous clears out at first are. The calculation will be:

5(2)^{t}= 5(2)^{0} =5

This appear that coefficient 5 decide how much the takes off at first are.

Let see how the number going for distinctive esteem of t. On the off chance that its 1 week after plant, the leaf will ended up:

5(2)^{t}= 5(2)^{1} = 10

At that point the number of takes off 2 weeks after planted will be:

5(2)^{t}= 5(2)^{2}= 20

The number keeps twofold each week since coefficient 2 speaks to the proportion of the development of the work and the proportion decides how much takes off duplicated each week.

So, the reply will be C.

Can someone help me in here please

Answers

The addition of the two matrix is [34    -12    -36    -18     58]

                                                        [-42   -8      16      30     8 ]

                                                        [ 24    34     4      34     23]

                                                        [-12    -32    -12    -42   -52]

What is the matrix addition?

The addition of the matrix is calculated as follows;

The result to 4 multiplied by G is calculated as;

4[G] = [32   -20    -32    -8     40]

         [-24   -28     4       36     8 ]

         [ 16     24      12     28     20]

         [-16    -12       0     -40    -36]

2[F] = [2      8    -4    -10     18]

         [-18   20    12   -6      0 ]

         [ 8     10    -8     6      3 ]

         [4     -20  -12    -2    -16]

The addition of the two matrix is calculated as follows;

4[G] + 2[F] =  [34    -12    -36    -18     58]

                     [-42   -8      16      30     8 ]

                     [ 24    34     4      34     23]

                     [-12    -32    -12    -42   -52]

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A student wants to compare the amount of money that two local movie theaters make over a two-week period for the last nightly showing of a particular movie. The following box plots show the data for the amount of money each theater makes over the period. Compare the median of each box plot.

Answers

Answer:

mt1= 995

mt2=975

Step-by-step explanation:

the line inside the box plot shows where the median is.

A major credit card company is interested in whether there is a linear relationship between its internal rating of a customer’s credit risk and that of an independent rating agency. The company collected a random sample of 200 customers and used the data to test the claim that there is a linear relationship. The following hypotheses were used to test the claim.

H0:β1=0Ha:β1≠0


The test yielded a t
t
-value of 3.34 with a corresponding p
p
-value of 0.001. Which of the following is the correct interpretation of the p
p
-value?

Answers

The correct interpretation of the p-value is 3.34.

We are given that;

t-value=3.34

Number of customers= 200

Now,

The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed one, assuming that the null hypothesis is true. In this case, the p-value of 0.001 means that there is a 0.1% chance of getting a t-value of 3.34 or higher (or -3.34 or lower) if the true slope of the linear relationship between the two ratings is zero. The p-value is very small, which indicates that the data provide strong evidence against the null hypothesis and in favor of the alternative hypothesis.

The p-value of 0.001 means that there is a 0.1% chance of getting a t-value of 3.34 or higher (or -3.34 or lower) if there is no linear relationship between the two ratings.

Therefore, by probability the answer will be 3.34

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Assertion: 7V5, V2+21 are the irrational number Reason: every integer is a rational number​

Answers

Assertion: Yes, √2 is an irrational number.

Reason: The decimal expansion of √2 is 1.41421356237 which is a non-recurring and non-terminating number.

How to solve

Both (A) and (R) are true and Reason (R) is the correct explanation of Assertion (A).

Assertion: Yes, √2 is an irrational number.

Reason: The decimal expansion of √2 is 1.41421356237 which is a non-recurring and non-terminating number.

All real numbers that are not rational numbers are referred to as irrational numbers in mathematics. In other words, it is impossible to describe an irrational number as the ratio of two integers.

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The Complete Question

Assertion (A): V2 is an irrational number. Reason (R) : Decimal expansion of an irrational number is non-recurring and non terminating???? a) Both (A) and (R) are true and Reason (R) is the correct explanation of Assertion (A) b) Both (A) and ( R) are true but Reason (R) is not a correct explanation of (A) c) Assertion (A) is true and Reason (R) is false d) Assertion (A) is false and Reason (R) is true​

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