find the percentage error if 3,750 is used as an approximation to 3,754.
give the answer rounded to four decimal places.
a.1066 %
b. -0.1066 %
c.0011 %
d. 0.1067 %

Answer: C

Step-by-step explanation: a triangle has a measurement of 180 degrees not 120

the answer is c the measure of each angle of an Equlateral triangle in 120 °

The number of outfits Mariam can purchase is 7.

The inequality to represent the situation is 560 ≤ 349.02 + 27.40x.

Mariam has $560 to spend at a bicycle store for some new gear and biking outfits. The price list are as follows:

She plans to spend some or all of the money she has left to buy new biking outfits for $27.40 each.

The inequality that can be used to determine x, the number of outfits Mariam can purchase within her budget can be calculated as follows:

560 ≤ 275.67 + 3(16.32) + 24.39 + 27.40x

where

x = number of biking outfits

560 ≤ 275.67 + 3(16.32) + 24.39 + 27.40x

560 ≤ 275.67 + 48.96 + 24.39 + 27.40x

560 ≤ 349.02 + 27.40x

560 - 349.02 ≤ 27.40x

divide both sides by 27.40

210.98 ≤ 27.40x

divide both sides by 27.40

210.98 / 27.40 ≤ x

7.7 ≤ x

Therefore, the number of outfit he can purchase is 7.

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The probability of drawing exactly three face cards is given as follows:

0.0660 = 6.60%.

The mass probability formula is presented as follows:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

Considering that a standard deck is composed of 52 cards, of which 12 are face cards, and 5 cards are taken, the values of the parameters are given as follows:

N = 52, k = 12, n = 5.

The probability of drawing exactly three face cards is P(X = 3), obtained as follows:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 3) = h(3,52,5,12) = \frac{C_{12,3}C_{40,2}}{C_{52,5}} = 0.0660[/tex]

The problem asks for the probability of drawing exactly three face cards.

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Therefore , r its derivation are not present. The dependent variable does not have a transcendental function.

Numbers and their variants, math and nearby tissues, shapes and their real positions, as well as potential placements, are all studied in mathematics. The term "function" describes the connection between a group of inputs, each of which has a corresponding output. An input-output relationship is called a function when each input results in a single, unique output. A realm and a city or municipality, or scope, are assigned to each function.

Here,

Given :  (1+y²)(d²y/dt²)+t(dy/dt)+y=et

The second derivative is the highest derivative in this fractional derivative (). As a result, this differential equation has an order of 2.

The dependent variable's product and its derivative are present, indicating linearity.

The differential equation is hence non-linear.

Second order nonlinear ordinary differential equations are categorized as such.

t²(d²y/dt²)+t(dy/dt) + 2y =sint

The differential equation shown is  t²(d²y/dt²)+t(dy/dt) +2y=sint

Order: This differential equation has a higher order differential equation since the largest derivative it has is.

Lack of the dependent variable's product and/or derivative indicates linearity. Higher powers of the variable or its derivation are not present. The dependent variable does not have a transcendental function.

Therefore , r its derivation are not present. The dependent variable does not have a transcendental function.

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We know,

[tex] \cos(angle) = \frac{base}{hypotenuse} [/tex]

Here, the angle is 45°. Base = x, Hypotenuse = √10

We know,

[tex] \cos(45) = \frac{1}{ \sqrt{2} } [/tex]

Therefore,

[tex] \cos(45) = \frac{x}{ \sqrt{10} } \\ = > \frac{1}{ \sqrt{2} } = \frac{x}{ \sqrt{10} } \\ = > x = \frac{ \sqrt{10} }{ \sqrt{2} } = \sqrt{5} [/tex]

Answer:

√5

Hope it helps.

An equation that models the numbers is x, x+1, x + 2

The term equation is known as a condition on a variable such that two expressions in the variable have equal value

Here we know that Chloe is trying to find three consecutive, positive integers such that six times the largest is equal to the twice sum of the two smaller integers.

Then the given parameters are written as the three consecutive positive numbers Chloe is trying to find are x, x+1, x + 2

Here we have the conditions of the three positive numbers are written as,

=> 6 × (x + 2) = 2 × (x + x + 1)

Now, we have to check if the three consecutive numbers can be 4, 5, and 6 by substituting the values as written as,

=> x + 2 = 6

=> x + 1 = 5

Then the value of x is 4

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According to the concept of differentiation the length of his shadow changing when he is 10 feet from the base of the light is 10 feet.

Here we have given that the height of man = 6 feet

And the Height of light is 15 feet

Then the Rate of walk by man is written as

=>dx/dt = 5 feet per second.

Here we have to find the rate at which the tip of his shadow is moving when he is 10 feet from the base of the light.

Here by using ratio of similar triangles we have write it as,

=> 15/y = 6/(y - x)

When we do the cross multiplication on it, then we get

=> 15(y - x) = 6y

=> 15y - 6y = 15x

=> 9y = 15x

When we dividing by 3 on both sides then we get

=> 3y = 5x

While we differentiating both sides with respect to t then we get

=> 3(dy/dt) = 5(dx/dt)

=> dy/dt = (5/3)(6)

When we simplify this one, then we get

=> dy/dt =  10 ft/s

Hence the rate at which the tip of his shadow is changing is 10 ft/s.

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Note if Tommy were to hire a car to drive 850 miles in 8 days under the price conditions given, it would cost him £575 to go with the cheaper company which is company B.

To compute the cheaper price, we need to work out how much it comes to if he went with either company.

Company A:

Daily Charge £20

Cost per mile 50p

Given that he goes 850 Miles ;

For 8 days,

His Total cost with Company A is

(20 x 8) + [ (50 *850)/100); recall that 100 pence (p) make 1 British Pound (£)

Thus, 160 + 425

= £585

Thus, to go with Company A, Tommy will spend £585

On the other hand, Tommy's Total cost with Company B is computed as follows;

Daily Charge £40

Cost per mile 30p

Total cost will come to: (40 x 8) + [(30 *850)/100)

= 320 + (25500/100)

= £575

Since Company will charge a total of £585 and Company B will charge a total of £ 575, we can conclude that the cheaper company is company B.

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Full Question:

Tommy wants to hire a car to drive 850 miles in 8 days how much would it cost him to hire a car from the cheaper side. See the attached for the pricing conditions.

The information shows that f(4)=f(30) tells us that the weight of a particular female panda at 4 years old is the same as her weight at 30 years old.

It is a mathematical expression, rule, or law that establishes the relationship between an independent variable and a dependent variable (the dependent variable).

In this case, Dr. Coleman is a zoologist who studies giant pandas. Giant pandas are very tiny when they are born but grow to be quite large. The function f(x) gives the weight, in pounds, of a particular female panda when she was x years old.

The function illustrated shows that the weights are the same.

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Therefore, 24 square units are the answer to the surface area problem that has been given.

Shape is a term used to express how much total area a material's surface takes up. Surface area of a three-dimensional shape is determined by its surrounds added together. Surface area refers to a multi-total shape's surface area covering. A cube with five rectangular sides has a volume of water equal to the sum of the areas of each face. Alternately, you can get the box's dimensions by using the following formula: Surface (SA) equals twice twice twice twice.

Here,

The height of the square in the example is 5-2 = 3.

The base of the provided square is composed of units => 7 -(-1) units => 8 units.

The given square therefore contains an area equal 8 * 3 = 24 square units.

The preceding area problem must therefore be solved using 24 square units.

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The 1 1/4 cups of sugar and 1 1/2 cups of flour used in making one batch, indicates that the number of cups of flour Lesley should use in the new batch of cookies, expressed as a mixed fractions is 1 1/5 cups

A mixed fraction consists of the sum of the quotient and the fraction of the remainder divided by the divisor, of a fraction which has a larger numerator than the denominator.

The amount of sugar and flour required to make one batch of cookies specified in mixed fractions are;

Amount of sugar = 1 1/4 cups

Amount of flour = 1 1/2 cups

The amount of sugar in the additional batch = 1 cup of sugar

The ratio of the quantities of the sugar and flour between original batch and the new batch is therefore;

Sugar in original batch/(Sugar in new batch) = (Flour in original batch)/(Flour in the new batch)

[tex]\frac{1\frac{1}{4} }{1} =\frac{1\frac{1}{2} }{y}[/tex]

Where;

y = The number of cups of flour required in the new batch

Cross multiplying, we get;

[tex]y \times 1\frac{1}{4} = 1\frac{1}{2}[/tex]

[tex]y = \frac{1\frac{1}{2} }{1\frac{1}{4} } = \frac{6}{5} =1\frac{1}{5}[/tex]

The number of cups of flour needed in the new batch is, y = 1 1/5 cups

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Over the past year, Becky has enjoyed watching 7 out of the 9 movies recommended by her local newspaper. She aims to design a spinner that she can use to simulate this scenario and predict the probability that she will be going to enjoy each of the next 5 movies recommended by the newspaper.  Becky should divide her spinner into 9 equal-sized sections in order to best simulate this situation.

Hence, Becky should divide her spinner into 9 equal-sized sections in order to best simulate this situation.

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Answer:

Factors of x are 0, 5, and -4.

Step-by-step explanation:

⇒ x³ = x² + 20x

⇒ x³ - x² - 20x = 0

⇒ x (x² - x - 20) = 0

⇒ x ( x² - 5x + 4x - 20) = 0

⇒ x ( x ( x - 5) + 4 ( x - 5)) = 0

⇒ x (x - 5) (x + 4) =0

⇒ x = 0, 5, and -4

Answer: x = 5

x = -4

x = 0

Step-by-step explanation:The first term is,  x2  its coefficient is  1 .

The middle term is,  -x  its coefficient is  -1 .

The last term, "the constant", is  -20

Step-1 : Multiply the coefficient of the first term by the constant   1 • -20 = -20

Step-2 : Find two factors of  -20  whose sum equals the coefficient of the middle term, which is   -1 .

     -20    +    1    =    -19

     -10    +    2    =    -8

     -5    +    4    =    -1    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -5  and  4

                    x2 - 5x + 4x - 20

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-5)

             Add up the last 2 terms, pulling out common factors :

                   4 • (x-5)

Step-5 : Add up the four terms of step 4 :

                   (x+4)  •  (x-5)

            Which is the desired factorization  A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.  Solving   x2-x-20 = 0 by Completing The Square .

Add  20  to both side of the equation :

  x2-x = 20

Now the clever bit: Take the coefficient of  x , which is  1 , divide by two, giving  1/2 , and finally square it giving  1/4

Add  1/4  to both sides of the equation :

 On the right hand side we have :

  20  +  1/4    or,  (20/1)+(1/4)

 The common denominator of the two fractions is  4   Adding  (80/4)+(1/4)  gives  81/4

 So adding to both sides we finally get :

  x2-x+(1/4) = 81/4

Adding  1/4  has completed the left hand side into a perfect square :

  x2-x+(1/4)  =

  (x-(1/2)) • (x-(1/2))  =

 (x-(1/2))2

Things which are equal to the same thing are also equal to one another. Since

  x2-x+(1/4) = 81/4 and

  x2-x+(1/4) = (x-(1/2))2

then, according to the law of transitivity,

  (x-(1/2))2 = 81/4

We'll refer to this Equation as  Eq. #4.2.1  

The Square Root Principle says that When two things are equal, their square roots are equal.

Note that the square root of

  (x-(1/2))2   is

  (x-(1/2))2/2 =

 (x-(1/2))1 =

  x-(1/2)

Now, applying the Square Root Principle to  Eq. #4.2.1  we get:

  x-(1/2) = √ 81/4

Add  1/2  to both sides to obtain:

  x = 1/2 + √ 81/4

Since a square root has two values, one positive and the other negative

  x2 - x - 20 = 0

  has two solutions:

 x = 1/2 + √ 81/4

  or

 x = 1/2 - √ 81/4

Note that  √ 81/4 can be written as

 √ 81  / √ 4   which is 9 / 2

The value of fx(1, 0) equal to -(1/√(3)) and  fy(1, 0) is equal to -20/√3.

To find fx(1, 0) and fy(1, 0), we need to take the partial derivative of the given equation with respect to x and y respectively, and then evaluate the derivatives at the point (1,0).

First, we have f(x, y) = √(4 - x² - 4y²)

To find fx(1, 0), we'll take the partial derivative of f(x, y) with respect to x:

fx(x, y) = ∂f/∂x = -(x/√(4 - x² - 4y²))

Therefore, fx(1, 0) = -(1/√(4 - 1² - 4×0²)) = -(1/√(3))

fx(1, 0) = -(1/√(3))

To find fy(1,0), we'll take the partial derivative of f(x, y) with respect to y:

fy(x, y) = ∂f/∂y

= -2y/√(4 - x² - 4y²)

Therefore, fy(1, 0) = -20/√(4 - 1² - 4×0²) = -20/ √3

These numbers, fx(1, 0) and fy(1, 0), can be interpreted as slopes of the equation. The slope in this case represents the rate of change of the function in the x and y directions. A negative value for fx(1,0) means that as x increases by a small amount, the function value decreases by a small amount, while a value of 0 for fy(1,0) means that as y increases by a small amount, the function value does not change.

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The trigonometric equation for the function with a period of 6 is [tex]f(x) = A sin (\frac{\pi}{3}t)[/tex].

The simplest definition of a trigonometric function is the function of an angle in a triangle, often known as a circular function. It implies that these trig functions can be used to determine the relationship between a triangle's angles and sides.

The general equation of the wave is given by the formula:

f(x) = A sin(wt)

Where, [tex]w = \frac{2\pi}{T}[/tex]

where, T is the time period.

Given that T = 6, substituting the value in the formula we have;

[tex]w = \frac{2\pi}{6}[/tex]

[tex]w = \frac{\pi}{3}[/tex]

Substituting the value of w in the general equation:

[tex]f(x) = A sin (\frac{\pi}{3}t)[/tex]

Hence, the trigonometric equations for the function with a period of 6 is [tex]f(x) = A sin (\frac{\pi}{3}t)[/tex].

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Is associated with motor impairment but does not cause it

Autism is defined as the development of disability caused by differences in the brain.

People with autism often have problems with social communication and interaction, restricted or repetitive behaviors or interests, and also have different ways of learning, moving, or paying attention.

The study didn't explain the timeline of their findings, so we can conclude this research takes data at one time.

Research that doesn't take before and after exposure data cannot be used to derive causation since we can't prove that the condition happens after exposure.

But this study still can predict association by risk ratio or odds ratio depending on the study design.

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The value of p, q, and r cannot be found without more information about what the variables represent and any equations or relationships that they may be a part of.

Please provide more context or information about the problem you are trying to solve.

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To find the ratio equivalent to another ratio, divide both parts of the ratio by the same number. This will create a new ratio that is equal to the original ratio. For example, to find the ratio equivalent to a ratio of 4:6, divide both 4 and 6 by 2. This results in a new ratio of 2:3, which is equivalent to 4:6.

1. Start by identifying the ratio that you need to find the equivalent of.

2. Divide both parts of the ratio by the same number.

3. This will create a new ratio that is equal to the original ratio.

To find the ratio equivalent to another ratio, divide both parts of the ratio by the same number. This will create a new ratio that is equal to the original ratio.

To find the ratio equivalent to another ratio, divide both parts of the ratio by the same number. This will create a new ratio that is equal to the original ratio. For example, to find the ratio equivalent to a ratio of 4:6, divide both 4 and 6 by 2. This results in a new ratio of 2:3, which is equivalent to 4:6.

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The measurements of all the angles, if one angle is a right angle (90 degrees), and the second angle's measurement is six times smaller than the third angle's measurement of 180 degrees.

As per the data given in the above question are as bellow,

The data provided are as bellow.

The known angle (90) a pronumeral of r.

give the second angle (the one with all the subtraction) a pronumeral or x.

The third angle the pronumeral of y

x = 7y - 6

90 + x + y = 180

90 + 7y - 6 + y = 180

90 + 8y - 6 = 180

90 + 8y =186

8y = 96

y = 12.  

the third angle is 12

so 12 + 90 = 102

the second angle must equal 88 to make it to 180

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Note the correct question is as bellow,

Given a right triangle, find the measures of all of the angles, if one angle is a right angle (90 degrees) and the measure of the second angle is six less than seven times the measure of the third angle. This is represented by the equation x=7y - 6

When the volume of this sphere is [tex]$\frac{K \sqrt{6}}{\sqrt{\pi}}$[/tex], then the value of K is 8

As per the data given:

The length of the cube is 2 units.

First, we have to determine the surface area of the cube.

The formula for the surface area of the cube:

A = 6 (side × side)

A = 6 (2 × 2)

A = 6 (4)

A = 24 square units

The surface area of a cube is 24 square units.

Also given that the surface area of a cube and the surface area of a sphere is equal.

The formula for the surface area of the sphere.

A = 4π [tex]r^{2}[/tex]

Where r is the radius of the sphere.

4π [tex]r^{2}[/tex] = 24

π [tex]r^{2}[/tex] = 6

[tex]r^{2}[/tex] = [tex]\frac{6}{\pi }[/tex]

r = [tex]\sqrt{\frac{6}{\pi } }[/tex]

The radius of the sphere is [tex]\sqrt{\frac{6}{\pi } }[/tex]

Also given the volume of the sphere as [tex]$\frac{K \sqrt{6}}{\sqrt{\pi}}$[/tex]

Here we have to determine the value of K.

The volume of sphere = [tex]\frac{4}{3} \pi r^{3}[/tex]

Where r is the radius of the sphere.

[tex]\frac{4}{3} \pi r^{3}[/tex] =    [tex]$\frac{K \sqrt{6}}{\sqrt{\pi}}$[/tex]

[tex]\frac{4}{3} \pi (\sqrt{\frac{6}{\pi } }) ^{3} = \frac{K \sqrt{6} }{\sqrt{\pi } }[/tex]

[tex]\frac{4}{3} \pi {\frac{6}{\pi } }= K[/tex]

K = 4 × 2

K = 8.

Therefore the value of K = 8.

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Answer: g(f(10)) = g(√2x+5) = 6x-3

We need to substitute x = √2*10 + 5 into g(x) = 6x - 3

g(f(10)) = 6(√2*10 + 5) - 3 = 6√20 + 30 - 3 = 6√20 + 27

So g(f(10)) = 6√20 + 27.

The percentage of oil that has leaked​ from the tank is 14.29%.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100.

Given that,

The capacity of the tank = 49 litres.

Total litres of oil leaked = 7 litres.

Mathematically, the percentage for the amount of oil leakage in this tank is given by this formula:

Percentage = oil leakage/tank capacity *100

Substituting the given parameters into the formula, we have:

Percentage = 7/49 *100 =  14.29%

Thus, The percentage of oil that has leaked​ from the tank is 14.29%.

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1 is a universal factor. It is a factor of all numbers. The number itself is a factor of the number as it divides itself entirely.

A factor is a number that divides another number and leaves no remainder. In other words, if multiplying two whole numbers gives us a product, the numbers we are multiplying are factors of the product because they are divisible by the product. There are two processes for finding factors: multiplication and division.

For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 absolutely and 12 ÷ 6 = 2 absolutely. The other factors of 12 are - 1, 2, 4, and 12.

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The flowers was 8 roses, 2 lillies and 2 irises in each of the identical bouquet.

An equation is an expression composed of variables and numbers linked together by mathematical operations.

Let x represent the number of roses in each bouquet, y represent the lillies in each bouquet, and z represent the irises.

A florist must make 5 identical bridesmaid bouquets for a wedding. She has a budget of $160, hence:

Cost of flowers in each bouquet = $160/5 = $32

She wants 12 flowers in each bouquet, hence:

x + y + z = 12   (1)

She wants twice as many roses as the other two types of flowers combined, hence:

x = 2(y + z)

x - 2y - 2z = 0   (2)

Roses cost $2.50 each, lilies cost $4 each, and irises cost $2 each, hence:

2.5x + 4y + 2z = 32    (3)

From the equations:

x = 8, y = 2, z = 2

There was 8 roses, 2 lillies and 2 irises.

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The steps in the correct order to solve the equation: [tex]3\times 2^{(2t-5)} - 4 = 10[/tex] is given below and the solution to given equation is t = 3.625

Consider given equation: [tex]3\times 2^{(2t-5)} - 4 = 10[/tex]

We arrange the given steps in correct order to solve given equation.

Step 1:

Add 4 to each side of the equation.

⇒ [tex]3\times 2^{(2t - 5)} = 14[/tex]

Step 2:

Divide each side of equation by 3

⇒ [tex]2^{(2t - 5)} =\frac{14}{3}[/tex]

Step 3:

Take the log of each side of equation.

[tex]log 2^{(2t-5)} = log(\frac{14}{3})[/tex]

Step 4:

use the exponential property and write (14/3) in decimal form:

⇒ (2t - 5) log(2) = log(4.67)

Step 5:

Divide each side by log 2

⇒ 2t - 5 = log(4.67) / log(2)

Step 6:

Find the value of log(4.67) / log(2) and substitute  

⇒ 2t - 5 = 2.23

Step 7:

Add 5 to each side of the equation

⇒ 2t = 2.23 + 5

Step 8:

Simplify

t = 3.625

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The null hypothesis is that the population mean is equal to 3 minutes. The calculated p-value from the sample data is 0.28, which is higher than the 0.05 significance level.

not significantly more than 3 minutes.

The null hypothesis is that the population mean is equal to 3 minutes. The calculated p-value from the sample data is 0.28, which is higher than the 0.05 significance level. Therefore, we cannot reject the null hypothesis and conclude that the mean of the population is not significantly more than 3 minutes.

1. The null hypothesis is that the population mean is equal to 3 minutes.

2. A sample of 100 customers was taken, with an average length of calling time of 3.1 minutes and a sample standard deviation of 0.5 minutes.

3. The p-value from the sample data is 0.28, which is higher than the 0.05 significance level.

4. Therefore, we cannot reject the null hypothesis and conclude that the mean of the population is not significantly more than 3 minutes.

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Answer:

-15

Step-by-step explanation:

im thinking +[-15] and [-15] are the same thing

The type of system of linear equations with infinitely many solutions is called a homogeneous system of linear equations.

A system of linear equations is a set of two or more equations with two or more variables that are related to each other. When a system of linear equations has an infinite number of solutions, it is called a homogeneous system of linear equations. This is because all the equations in the system are multiples of each other, so any solution of one equation is also a solution for all the other equations.

The type of system of linear equations with infinitely many solutions is called a homogeneous system of linear equations.

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1) The function f(x) is defined as follows: B. F(x) = -(x + 2)²(x - 2).

2) The standard definition of function f(x) is given as follows: A. F(x) = ax³ + bx² + cx + d.

4) The approximate solution to the system of equations is given as follows: A. (-3.43, 6.30).

The function f(x) is defined according to the Factor Theorem, with the product of the linear factors of the function, which are dependent on the roots of the functions.

The zeros of the function, along with their multiplicity, are given as follows:

Hence the function is defined as follows:

F(x) = a(x + 2)²(x - 2).

The y-intercept is positive, meaning that:

-8a > 0.

Thus the leading coefficient a is negative, and the correct option is given by option B.

A cubic function, in which the coefficients a and d are positive, is represented as follows:

A. F(x) = ax³ + bx² + cx + d.

The solution to the system of equations is found through graphing, and is the point of intersection of the two functions.

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Answer:

The length of the third side (Hypotenuse) is 7.1556411313

Step-by-step explanation:

In order to find the third side(Hypotenuse) we use a formula called the phytogorean theorem which was invented by a philosopher named Pythagoras.

[tex]a^{2} +b^{2} =c^{2}[/tex]

We now apply the given values to the equation

[tex]5.96^{2} + 3.96^{2} = c^{2}[/tex]

Squaring the numbers we get,

[tex]35.5216+15.6816 = c^{2}[/tex]

[tex]51.2032[/tex] [tex]= c^{2}[/tex]

We now find the root of the number to find the hypotenuse which is,

[tex]\sqrt{51.2032} = c[/tex]

[tex]7.1556411313 = c[/tex]

Hence ,  the length of the third side (Hypotenuse) is 7.1556411313