The king has 14 different colored flags that he uses to send coded messages to his general inn the field. For example blue-green-red might mean attack at dawn and red-green-blue- may mean retreat. He sends by arranging 3 of the flag atop the castle wall. How many coded messages can the king send?

Given:

The lengths of legs of a right triangle are [tex]12a^5[/tex] and [tex]9a^5[/tex].

To find:

The perimeter of a right triangle.

Solution:

In a right angle triangle,

[tex]Hypotenuse=\sqrt{Leg_1^2+Leg_2^2}[/tex]

[tex]Hypotenuse=\sqrt{(12a^5)^2+(9a^5)^2}[/tex]

[tex]Hypotenuse=\sqrt{144a^{10}+81a^{10}}[/tex]

[tex]Hypotenuse=\sqrt{225a^{10}}[/tex]

On further simplification, we get

[tex]Hypotenuse=\sqrt{(15a^{5})^2}[/tex]

[tex]Hypotenuse=15a^5[/tex]

Now, the perimeter of the triangle is the sum of all of its sides.

[tex]Perimeter=Leg_1+Leg_2+Hypotenuse[/tex]

[tex]Perimeter=12a^5+9a^5+15a^5[/tex]

[tex]Perimeter=36a^5[/tex]

Therefore, the perimeter of the right triangle is [tex]36a^5[/tex].

Answer:

210

Step-by-step explanation:

5x7x6

Answer:

2

Step-by-step explanation:

Because 10/5 is 2

The scale factor for the given distances will be 2. The correct option is 2.

To determine the scale factor, we need to compare the distances between corresponding points in two similar figures. In this case, the distances between points D and D' in one figure and points A and D in the other figure are provided.

The scale factor is determined by dividing the distance between corresponding points in the two figures. Therefore, the scale factor can be calculated by dividing the distance from D to D' (10) by the distance from A to D (5):

Scale factor = Distance from D to D' / Distance from A to D = 10 / 5 = 2

Therefore, the correct answer is option 2). The scale factor is 2.

To know more about scale factors follow

https://brainly.com/question/30215044

#SPJ2

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: x = - 18}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \frac{ - 3}{4} = \frac{x}{24} [/tex]

➼ [tex] \: x = \frac{ - 3 \times 24}{4} [/tex]

➼ [tex] \: x = \frac{ - 72}{4} [/tex]

➼ [tex] \: x = - 18[/tex]

Therefore the value of [tex]x[/tex] is -18.

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

[tex] \frac{ - 3}{4} = \frac{ - 18}{24} [/tex]

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

➼ L. H. S. = R. H. S.

Hence verified.

[tex]\bold{ \green{ \star{ \orange{Mystique35♨}}}}⋆[/tex]

Answer:

x₁  =  40     x₂  =  40      z (max) = 280

Step-by-step explanation:

El presente es un problema de programación lineal, este problema se resuelve por el procedimiento o Método Simplex, con programas de resolución en línea. Como en este caso se trata de que se venden unidades enteras ( es decir las variables son enteros reales) entonces hay que imponer esa  condición a nivel de la solución

Para preparar:

                                             Masa  Kg          Frutas Kg    Precio de venta $

Panetón tipo esp. x₁                  1                       0.2                      3

Panetón tipo Prem  x₂               1                       0.4                      4

Disponibilidad                           80                      24

Función Objetiva

z  =  3*x₁  +  4*x₂       a maximizar

Sujeto a:

Restricciones o condicionantes:

1.- Cantidad de masa   80 Kgs

1*x₁  +  1*x₂  ≤  80

2.- Cantidad de frutas  24 kgs.

0.2*x₁  +  0.4*x₂  ≤  24

x₁    ≥ 0     x₂   ≥0     deben ser enteros

El modelo es:

z  =  3*x₁  +  4*x₂       a maximizar

Sujeto a:

1*x₁  +  1*x₂  ≤  80

0.2*x₁  +  0.4*x₂  ≤  24

x₁    ≥ 0     x₂   ≥0     deben ser enteros

Usando Atomzmath  on-line, después de 6 iteracciones, la solución óptima es:

x₁  =  40     x₂  =  40      z (max) = 280

Answer:

top graph

Step-by-step explanation:

The graph of a proportional relationship is a straight line graph passing through the origin.

The only graph to pass through the origin is the top one

Answer: 24

Step-by-step explanation:

Since we are given the information that

Shop Shawn used: y=10+3.5x while Shop Dorian used: y=6x.

To solve the question asked, we need to equate both equations together and this will be:

10 + 3.5x = 6x

6x - 3.5x = 10

2.5x = 10

x = 10/2.5

x = 4

Therefore, we can put the value of x into any of the equation to get y. This will be:

y = 6x

y = 6 × 4

y = 24

The amount paid for the rentals is 24

Answer:

D 24

Step-by-step explanation:

Answer:

nkknknknjobbjojobihgghighigugyghugughuugbhibhi

Step-by-step explanation:

hibbihib

gbuhbuhb

buying hi

hnununnhon

jinonoonno

Answer:

A

Step-by-step explanation:

because linear modelling can include population change

Answer:

Step-by-step explanation:

object       X-axis            Y-axis             y = x               y = -x

(0,6)          (0 , -6)            (0,6)                (6 ,0)             (-6 ,0)

(-3 , 5)       (-3, -5)            (3 , 5)              (5 , -3)           (-5 , 3)

(-4 , -6)      (-4 , 6)           (4 , -6)              (-6,-4)           (6 , 4)

(8,-3)         (8 , 3)             (-8,-3)              (-3, 8)           (3 , -8)

(0,3)           (0 ,-3)           (0 ,3)                ( 3, 0)          (-3 , 0)

(0, -9)          (0 , 9)           (0 ,9)              (-9 , 0)         ( 9 , 0)

(5,0)           (5, 0)              (-5,0)             (0 , 5)           (0 , -5)  

(-2,0)           (-2,0)            (2,0)               (0, -2)         (0,2)

(-7 , 8)        (-7 , -8)          (7 , -8)             (8, -7)           (-8,7)

(12 , -6)      (12, 6)           (-12,-6)              (-6,12)          (6 ,-12)

When a point is reflected over x-axis, x-coordinate remains same and y-coordinate  change to its opposite sign.

When a point is reflected over y-axis, y-coordinate remains same and x-coordinate  change to its opposite sign.

When a point is reflected over y = x axis, x-coordinate and y-coordinate change their places.

When a point is reflected over y = -x axis, x-coordinate and y-coordinate change their places and are negated

Answer:

y = - 750

Step-by-step explanation:

Given

y = [tex]\frac{2}{3}[/tex] x³y² ← substitute x = - 5, y = - 3 into the expression

  = [tex]\frac{2}{3}[/tex] × (- 5)³ × (- 3)²

  = [tex]\frac{2}{3}[/tex] × - 125 × 9 ( cancel the 3 and 9 )

  = 2 × - 125 × 3

  = - 750

Answer:

x=6

Step-by-step explanation:

2x + 2y = 20

Let y=4

2x +2(4) = 20

Multiply

2x+8 = 20

Subtract 8 from each side

2x+8-8= 20-8

2x = 12

Divide by  2

2x/2 = 12/2

x = 6

Answer:

[tex]x=6\\[/tex]

Step-by-step explanation:

[tex]2x+2(4)=20[/tex]

[tex]2x+8=20[/tex]

Subtract both sides by 8

[tex]2x=12[/tex]

Divide both sides by 2 to get x alone

[tex]x=6[/tex]

Hope this is helpful

Answer:

There are two terms that could have a greatest common factor of 5m2n2, and those are 5m4n3 and 15m2n2.

The only correct option will be 5m^4n^3 since 5m²n² can go in the expression,

The greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers

From the question, we are to find the equivalent expression that has 5m²n² as a factor

The only correct option will be 5m^4n^3 since 5m²n² can go in the expression,

Learn more on GCF here: https://brainly.com/question/219464

Answer:

b. 15 meters

Step-by-step explanation:

This doesn't involve a lot of math, just some common sense. 15 centimeters is about the size of a pencil so that is definitely not the answer. Therefore, 15 meters would be the correct choice.

Answer:

B bro

Step-by-step explanation:

Answer:

rtyujn

Step-by-step explanation:

er456y7ujm

Answer:

It should look roughly like this

Answer:

Option C

Step-by-step explanation:

[tex] \sqrt[5]{x {}^{2} y} (4 + 3) \\ 7 \sqrt[5]{x {}^{2} y} [/tex]

1) angle HJI

2) angle IJH

Answer:

Step-by-step explanation:

Let the number of orange jelly beans be x , as we do not know the exact value of it yet. There are 12 times as many green jelly beans than the orange ones. So , if the number of orange jelly beans is x , the number of green jelly beans will be = 12 times x , which can be written as 12x. Now there are a total of 1872 jelly beans , but they are either orange or green , so we already know that the number of orange jbs is x , and the number of green jelly beans is 12x. So if we the green jelly beans and orange jelly beans , it should be 1872.

Now all we need to do is to find x.

We know that ,

x + 12x = 1872

Now we add x and 12x on the left hand side

13x = 1872

Now we divide both sides by 13 to get x. (That includes 1872 as well)

x = 144

Now we have the value of x which is 144

We know that the number of green jelly beans was 12 times x

So the number of green jelly beans in numeric value is : 12 * 144

As x is equal to 144

Ans . : The number of green jelly beans is 1728.

The number of green jelly beans is 1728.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Let the number of orange jelly beans = x ,

So, the number of green jelly beans will be = 12 times x ,

which can be written as,  12x.

Now, there are a total of 1872 jelly beans , but they are either orange or green , so we already know that the number of orange is x , and the number of green jelly beans is 12x.

So if we the green jelly beans and orange jelly beans , it should be 1872.

Now, We get;

x + 12x = 1872

13x = 1872

Divide both sides by 13,

x = 144

So, the number of green jelly beans in numeric value is :

⇒ 12 × 144

⇒ 1728

Thus, The number of green jelly beans is 1728.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ3

Answer:

B. shelves × 51

Reason:

sum of all books= 357

sum of shelves= 17

no of shelves × 21

or, 17 × 21= 357

which is the number of books.

ticket to future game

Step-by-step explanation:

it is because guest won a lot of notepad and mini baseketball so there is chances where ticket to future game still available a lot .

Answer:

[tex]\displaystyle \theta \approx 36.4[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ

Opposite Leg = 31

Adjacent Leg = 42

Step 2: Find Angle

Answer:

BCF is the correct answer

Answer:

b, c, and f

Step-by-step explanation:

because on the negative scale -5 is closer to 0 than -7, -4 is closer to 0 than -6, and -4 is closer to 0 than -5. So in this case b, c, and f are true because it is greater than. Sorry if I explained it badly, but im pretty sure its b, c, and f.

Answer:

x = [tex]7\sqrt{2}[/tex]

Step-by-step explanation:

a is the hypotenuse of the right angled triangle ehereas the other two sides are legs of a right angle triangle .

since the other two sides are equal both should be denoted as x.

now the value of a is given i.e 14 m

using pythagoras theorem,

pythagoras theorem states that sum of square of two smaller sides of a right triangle is equal to the sum of square of hypotenuse. so,

a^2 + b^2 = c^2

x^2 + x^2 = 14^2

2x^2 = 196

x^2 = 196/2

x^2 = 98

x = [tex]\sqrt{98}[/tex]

x = [tex]7\sqrt{2}[/tex]

Answer:

[tex]x=7\sqrt{2}[/tex]

Step-by-step explanation:

The given triangle is a right isosceles triangle. This means that it is a triangle with two congruent sides and a right angle (indicated by the box around one of the angles). One of the properties of a right isosceles triangle is that it follows the following sides-ratio,

[tex]x-x-x\sqrt{2}[/tex]

Where (x) represents the legs (sides adjacent to the right angle of a right triangle) or the congruent sides in this case. ([tex]x\sqrt{2}[/tex]) represents the hypotenuse or the side opposite the right angle. Form a proportion based on the given information and solve for the unknown value (x).

[tex]x=\frac{a}{\sqrt{2}}[/tex]

Substitute,

[tex]x=\frac{14}{\sqrt{2}}[/tex]

Simplify,

[tex]x=\frac{14}{\sqrt{2}}\\\\x=\frac{14*\sqrt{2}}{\sqrt{2}*\sqrt{2}}[/tex]

[tex]x=\frac{14\sqrt{2}}{2}[/tex]

[tex]x=7\sqrt{2}[/tex]

Answer:

The distance between X and Z is approximately 95.99 km

Step-by-step explanation:

(For Diagram Please Find in Attachment)

The distance of Y from X = 85 km

The bearing of Y from X = 190°

The bearing of Z from Y = 140°  

The bearing of Z from X = 180°

Now,  

∠YZX = 180° - (130° + 10°) = 40°

(85 km)/sin(40°) = XZ/(sin(130°))

XZ = sin(130°) × (85 km)/sin(30°) ≈ 95.99 km

The distance between X and Z ≈ 95.99 km

Answer:

So f(x) is y

y = |x| -4

Put in some numbers for x and see which graph matches the y output.

The first graph.

Answer:

[tex]\dfrac{x}{2 \cdot x + 14} + \dfrac{x - 4}{6} = \dfrac{3}{x^2} + 2\cdot x - 35; Domain \ restriction \ x \neq 0 \ or \ -7[/tex]

Step-by-step explanation:

The given rational equation is presented here as follows;

[tex]\dfrac{x}{2 \cdot x + 14} + \dfrac{x - 4}{6} = \dfrac{3}{x^2} + 2\cdot x - 35[/tex]

A domain restriction are the limits to the ranges of input values (x-values) of a function

The three main types of domain restrictions are the reciprocal function, the log function, and the root function

The form of restriction in the given rational are reciprocal form, which are;

[tex]\dfrac{x}{2 \cdot x + 14}[/tex], and [tex]\dfrac{3}{x^2}[/tex], from which the function is undefined when;

2·x + 14 = 0, therefore when x = -7, or x² = 0, when x = 0

Therefore, the domain restrictions are that the function is defines for all x, except x = -7 and x = 0

The domain restrictions are x ≠ -7 and x ≠ 0.

Answer:

it's -7 and 5

Step-by-step explanation:

used his and got it wrong

Answer:

f(x)=x+5

Step-by-step explanation:

x=-1 therefore -1+5=4

Answer:

Step-by-step explanation:

Answer:

k = -2/3

Step-by-step explanation:

y = kx

plug in the x,y values

2 = k(-3)

divude both sides by-3

-2/3 = k

k = -2/3