Find the length of the third side. If necessary, write in simplest radical form

Answer:

523

Step-by-step explanation:

the game

The height of a building is 7 m that casts a shadow of 11.3 m

The ratio between height to shadow length of man will be equal to the ratio of building. So, equating these two to find the height of building.

Height : Shadow length (man) = Height : shadow length (Building)

Keep the values as fraction

1.8/2.9 = Height/11.3

Height of building = (1.8 × 11.3) ÷ 2.9

Performing multiplication in numerator on Right Hand Side of the equation

Height of building = 20.34 ÷ 2.9

Performing division on Right Hand Side of the equation

Height of building = 7 m

Thus, the height of building is 7 m.

Learn more about shadow length -

https://brainly.com/question/14613383

#SPJ4

Answer:

Step-by-step explanation:

0.875/2.5 = 6.25/x

0.875x=15.625

x=$17.85

x=14 in is the smaller part of lumber

55-x=55-14=41 in is the larger  part of lumber

Linear equations are described for strains withinside the coordinate system. If an equation has  homogeneous variables of diploma 1 (that is, best one variable), the equation is stated to be a linear equation in a single variable. A linear equation may have more than one variables. When linear equations have  variables, they may be known as bivariate linear equations.

Examples of linear equations are 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, 3x - y + z = 3. This article gives definitions of linear equations, preferred types of linear equations in a single, , and 3 variables,  and  examples of them with complete explanations.

Let x=the smaller part

Then 55-x=the larger part

Now we are told the following:

2(55-x)=5x+12 simplify

110-2x=5x+12 add 2x to and subtract 12 from each side

110-2x+2x-12=5x+2x+12-12 collect like terms

98=7x

x=14 in--------------------smaller part

55-x=55-14=41 in-----------larger part

CK

2 times larger part=2*41=82 in

5 times smaller part=5*14=70 in

70+12=82

82=82

learn more about linear equation here :

brainly.com/question/11897796

#SPJ4

Answer:

x=1 y=4.5, x=2 y=4

Step-by-step explanation:

plug in random values of x and solve for y then you get your answer.

By simplifying the expression (-4-√7)² we get the value as 23+8√7 in decimals we get 44.12.

Given that,

The expression is (-4-√7)²

We need to find the value and simplify the expression.

Take the expression.

(-4-√7)²

We know that (a+b)²=a²+2ab+b²

The expression is in the form of (a+b)² substitute the formula.

(-4)²+2(-4)(-√7)+(-√7)²

Now do the square

16+2(-4)(-√7)+7

Now do the multiplication.

16+8√7+7

Now do the addition.

23+8√7

We can write the √7 value

23+8(2.64)

Multiply 8 and 2.64

23+ 21.12

Now adding

44.12

Therefore, By simplifying the expression (-4-√7)² we get the value as 23+8√7 in decimals we get 44.12.

To learn more about expression visit: https://brainly.com/question/14083225

#SPJ1

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The unit rate of kilo per pound = 0.4545

And the unit rate of pound per kilo = 2.2

Meredith's new scale measures in both pounds and kilograms.

The information on the box says the scale has a weight limit of 200 kilograms or 440 pounds.

We have a weight limit of 200 kilograms or 440 pounds.

We need to find the unit rate of kilo per pound and pound per kilo

The unit rate of kilo per pound would be,

r1 = 200/440

r1 = 0.4545

and a unit rate of pound per kilo would be,

r2 = 440/200

r2 = 2.2

Therefore, The unit rate of kilo per pound = 0.4545

And the unit rate of pound per kilo = 2.2

Learn more about the unit rate here:

https://brainly.com/question/22233867

#SPJ9

Answer:

Step-by-step explanation:

We'll look for an equation in the format y = mx + b where m is the slope and b the y-intercept.    A characteristic of parallel lines is that they have the same slope.  That means the same value of m for both equations.  

The reference equation is y = 1/3x + 5,  It has a slope of (1/3).  This means the new line will also have a slope of (1/3), and so we can write:

   y = (1/3)x + b

Any value of b will result in a parallel line to y = 1/3x + 5.  But the new line comes with the requirement that it go through point (3,5).  That's easily done if we choose the correct value for b, the y-intercept.  We could graph the line to visually determine what value of b will make the line go through this point, or we can simply enter the given point in the above equation and solve for b:

    y = (1/3)x + b  (for point (3,5)

    5 = (1/3)(3) + b

    5 = 1 + b

     b = 4

A b value of four will shift the line so that it intersects (3,5).  See the attached graph.

Answer: [tex]x = 34[/tex]

Step-by-step explanation:

Let x be the original amount of Pokémon cards Tommy had, we know that he sold half of them; this can be express as:

                                                              [tex]\frac{x}{2}[/tex]

After this he changed his mind and bought 17 cards, then he has:

                                                         [tex]\frac{x}{2} + 17\\[/tex]

We know that he has 34, then we have the equation:

                                                       [tex]\frac{x}{2} + 17 = 34[/tex]

Solving for x we have:

                                                        [tex]\frac{x}{2} + 17 = 34[/tex]

                                                        [tex]\frac{x}{2} = 34 - 17[/tex]

                                                            [tex]\frac{x}{2} = 17[/tex]

                                                         [tex]x = (2)(17)[/tex]

                                                            [tex]x = 34[/tex]

The quadrilateral VWXY that has an equal length of  diagonals and equal length of sides is the quadrilateral is a square

Since the information given to us about the quadrilateral  VWXY is :

VW = 15, WX = 15, XY = 15, YV = 15

Since the side lengths of the quadrilateral VWXY  and the diagonal lengths are equal. So, VX = WY = VX = WY. As we know The properties of a square are that their interior angles are congruent and are  90°, plus The four sides are of  equal length, the Opposite sides  are congruent and The length of the diagonals is equal.So it can be concluded that the  equal length of the diagonals  of a quadrilateral indicates   that it can be a  square

to know more  about quadrilateral refer to the link https://brainly.com/question/13805601?referrer=searchResults.

#SPJ4

The probability that both selected pairs of socks are white is 1/3.

We have a drawer. The drawer contains 10 pairs of socks. Six out of ten pairs of socks are white. We randomly selected two pairs of socks. We need to find the probability that both selected pairs of socks are white. Let the probability be represented by the variable "P". To select the first pair of white socks, the chances are six out of ten. Once the first pair is selected, the chances of selecting the second white pair of socks are five out of nine.

P = (6/10)*(5/9) = 1/3

To learn more about probability, visit :

https://brainly.com/question/11234923

#SPJ1

Answer: -39.57

Step-by-step explanation:

Answer:

{-4,-2,4}

Step-by-step explanation:

range are y values so we just look at the y values of the coordinates plotted on the graph

Hopes this helps

The range of the relation that is graphed above is: {-4, -2, 4}.

All values of x that are plotted on a graph of a relation is the domain, while the corresponding y-values on the graph is the range of the relation.

Given the graph of the relation above, the x-values of each of the points make up the domain of the relation, while the corresponding y-values of each point make up the range of the relation.

The y-values of each of the points are: -4, -2, and 4

Therefore, the range is: {-4, -2, 4}.

Learn more about the range of the relation on:

https://brainly.com/question/1579288

#SPJ1

The solution of the equation [tex]e^{6x}[/tex] - 11 = 104 is x = 0.79

The given equation is

[tex]e^{6x}[/tex] - 11 = 104

The equation is the mathematical statement that shows the relationship between two expression. The equation is consist of different variable, numbers and mathematical operators with the equal sign. The mathematical operators are addition, subtraction, division and multiplication. The inequality will not be the part of equation

The given equation is

[tex]e^{6x}[/tex] - 11 = 104

[tex]e^{6x}[/tex]  = 104 + 11

Add the terms

[tex]e^{6x}[/tex] = 115

6x = ln (115)

x  = ln (115) / 6

x = 0.79

Hence, the solution of the equation [tex]e^{6x}[/tex] - 11 = 104 is x = 0.79

Learn more about equation here

brainly.com/question/14603452

#SPJ1

The fourth term a₄ of the sequence aₙ is 15

The definition of the function is given as

a(1)=-11

a(n)=a(n-1)x10

When this definition is rewritten properly, we have the following representation

a₁= 11

aₙ = aₙ₋₁ * 10

The above definitions imply that we simply multiply 10 and the previous term to get the current term

Using the above as a guide,

So, we have the following representation

a₂ = 11 * 10

Evaluate the products

So, we have

a₂ = 110

Also, we have

a₃ = 110 * 10

Evaluate the products

So, we have

a₃ = 1100

Lastly, we have

a₄ = 1100 * 10

Evaluate the products

So, we have

a₄ = 11000

This represents the 4th term of the sequence

Hence, the value of a₄ is 11000

Read more about sequence at

brainly.com/question/7882626

#SPJ1

Using the z table, the critical value [tex]z_{a/2}[/tex] needed to construct a confidence interval with level 82% is 1.34.

In the given question,

We have to find the critical value [tex]z_{a/2}[/tex] needed to construct a confidence interval with level 82%.

The confidence interval is 82%.

We can write 82% as 82/100 and 0.82.

Now the value of

[tex]\alpha[/tex]=1−0.82

[tex]\alpha[/tex]=0.18

Now finding the value of [tex]\alpha[/tex]/2

[tex]\alpha[/tex]/2=0.18/2

[tex]\alpha[/tex]/2=0.09

Now finding the value of [tex]z_{a/2}[/tex].

[tex]z_{0.82}[/tex] = 1.34

Hence, the critical value [tex]z_{a/2}[/tex] needed to construct a confidence interval with level 82% is 1.34.

To learn more about standard normal random variable link is here

brainly.com/question/14782203

#SPJ4

D. No, because it is possible that the student gets lower test grades because of another factor, such as not studying.

When two variables behave in unison, rising or falling in lockstep with one another, there is a positive correlation.

When two variables move in opposition to one another—that is, when one rises, the other falls, this is known as a negative correlation.

Given, A student noticed that when she gets less than 8 hours of sleep at night, she scores lower on her test grades.

No, Because it is possible that the student gets lower test grades because of another factor, such as not studying.

learn more about correlations here :

https://brainly.com/question/13503439

#SPJ1

The simplification of the given expression would be = 9^-¹⁶

Simplification is defined as editing of a given mathematical expression in a more easy to under form or less complex form.

To simplify the given expression such as 9^-53·9^37 the law of exponents should be observed.

According to the law of exponents, a^m * a^n = a^m + n

9^-53·9^37

= 9^ -53+37

= 9^-16

Therefore, the simplification of the expression above would be = 9^-¹⁶.

Learn more about exponents here:

https://brainly.com/question/27385740

#SPJ1

Answer:

Step-by-step explanation:

$1.65

Answer:

y = 9, y = - 3 and y = - 6

Step-by-step explanation:

a line with equation y = c is a horizontal line parallel to the x- axis.

c is the value of the y- coordinates the line passes through.

Thus parallel lines must also be horizontal with equation y = c

a line parallel to y = 4 passing through (1, 9 ) with y- coordinate 9 is

y = 9

a line parallel to y = 2 passing through (- 1, - 3 ) with y- coordinate - 3 is

y = - 3

a line parallel to y = - 5 passing through (4, - 6 ) with y- coordinate - 6 is

y = - 6

Answer: 5x^3 + 4x^2 – (6x^2 – 2x – 9) =

5x^3 + 4x^2 – 6x^2 + 2x + 9 =

5x^3 – 2x^2 + 2x + 9

Step-by-step explanation: We have to find the difference (5x^3 + 4x^2) - (6x^2 - 2x - 9)

On distributing the minus over the parenthesis, we get

5x^3 + 4x^2 - 6x^2 + 2x + 9

Now, we group the like terms and combine them

5x^3 + (4x^2 - 6x^2) + 2x + 9

=5x^3-2x^2 + 2x +9

Therefore, the last expression is the correct option.

The difference of the polynomial is 5x^3-2x^2 + 2x +9

The image of the point (0, -4) after the transformation T3,3 R270 is (3, 1).

The image of the given point after transformation considers the given point is P(0, -4)

Rules of transformation R(27°,0)° T<3, 3> representing translation T<3, 3> after that rotate 270 degrees counter-clockwise If a figure translated by T<3, 3>

( x,y)= (( x + 3), ( y + 3))

p (0, -4) = p' (( 0 + 3), ( -4 + 3))  

p (0, -4) = p'(3, -1)

When rotating a point 270 degrees counter-clockwise about the origin our point

p'(x,y) becomes p''(y,-x)

p'(3, -1) = p''(3, -(-1))

p'(-10,2) =p"(3, 1)

Therefore, the image of the point (0, -4) after the transformation T3,3 R270 is (3, 1).

To learn more about the transformations click here :

https://brainly.com/question/28029674

#SPJ1

[tex]\frac{1}{2} -\frac{3}{7} =\frac{7}{14} -\frac{6}{14} =\frac{1}{14}[/tex]

Answer:

[tex] \frac{1}{14} [/tex]

Step-by-step explanation:

[tex] \frac{1}{2} - \frac{3}{7} = \frac{7}{14} - \frac{6}{14} [/tex]

[tex] = \frac{1}{14} [/tex]

A publisher needs to send many books to a local book retailer and will send the books in a combination of small and large boxes. Each small box can hold 20 books and each large box can hold 35 books.

The system of equation will be x+y = 7 and 20x+35y = 225.

Let x be the no of small boxes and y be the no. of large boxes.

Given here each small box can hold 20 books and each large box can hold 35 books.

A total of 7 boxes were sent.

So, x+y = 7.......equation 1

Also given that 7 boxes can hold 225 books altogether.

So, 20x+35y = 225.....equation 2

Hence the system of equation will be x+y = 7 and 20x+35y = 225.

To learn more combinations click here https://brainly.com/question/11732255

#SPJ4

Answer:

This is a incomplete questions.

Step-by-step explanation:

So, is there options or do you do a graph.

Feel free to ask

Answer:

B, C, and E for Edge

Step-by-step explanation:

did it and got it right lol :)

The solution to the system of equations y = 1/3x - 10 and 2x + y = 4 is (6, -8).

A system of equations is a collection of two or more equations with a same set of unknowns.

The substitution method is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation.

The given system of linear equations are :

y = 1/3x - 10 and 2x + y = 4

On solving two equations by using substitution method, It is given that

[tex]y = \frac{1}{3}x-10[/tex]    … (1)

2x + y = 4       … (2)

Substituting (1) in (2)

⇒ [tex]2x + (\frac{1}{3}x-10) = 4[/tex]

By further calculation

⇒ [tex]2x + \frac{1}{3}x - 10 = 4[/tex]

⇒ [tex]2x + \frac{1}{3} x = 4 + 10[/tex]

⇒ [tex]2x + \frac{1}{3} x = 14[/tex]

Taking LCM

⇒ [tex]\frac{(6+1)}{3}x = 14[/tex]

⇒ [tex]\frac{7}{3}x = 14[/tex]

By cross multiplication

⇒ 7x = 14 × 3

⇒ 7x = 42

Divide both sides by 7

⇒ x = 6

Substitute the value of x in equation (1)

[tex]\Rightarrow\ y = (\frac{1}{3} \times (6) - 10)[/tex]

So we get

⇒ y = (2-10)

⇒ y = -8

Therefore, the solution to the system of equations is (6, -8).

Learn more about Linear Equation by: https://brainly.com/question/2030026

#SPJ4