203 cm
196 cm
Question 1:
The formula to calculate the perimeter of the banner is
(a) 2 (1+ b)
(b) 2xrh + 2A
(c) a + (21 + b)
(d) 2 (1 + b) + ar​

Answer:

[tex] - \frac{3}{13} + \frac{15i}{13} [/tex]

Step-by-step explanation:

[tex] \frac{ \sqrt{ - 36} }{(2 - 3i) + (3 + 2i)} [/tex]

Set up equation

Step 1: Simplify

[tex] \frac{6i}{5 - i} [/tex]

Step 2:Multiply by conjugate

[tex] \frac{6i}{5 - i} \times \frac{5 + i}{5 + i} [/tex]

Step 3:Simplify

[tex] \frac{30i + 6 {i}^{2} }{ {i}^{2} - 5 {}^{2} } [/tex]

We can reduce this and we must make the imaginary number and real number serpate equations.

[tex] - \frac{6}{26} + \frac{30i}{26} [/tex]

Reduce each by 2

[tex] - \frac{3}{13} + \frac{15i}{13} [/tex]

Answer:

Option C

Step-by-step explanation:

complete question

A. 35[3]6cB. 12[3]12cC. 12[3]6cD.72c

The given equation can be written as

5^3√6c+7^3√6c

5 * [tex]\sqrt{3 *3*2c}[/tex] + 7 * [tex]\sqrt{3 *3*2c}[/tex]

5 * 3 *[tex]\sqrt{2c}[/tex] + 7 * 3  *[tex]\sqrt{2c}[/tex]

15  *[tex]\sqrt{2c}[/tex] + 21 *[tex]\sqrt{2c}[/tex]

36 *[tex]\sqrt{2c}[/tex]

12 [3]*[tex]\sqrt{2c}[/tex]

Option C is correct

Answer:

[tex] x \approx \: \boxed{49.471}[/tex]

Step-by-step explanation:

[tex] - 5 + 2In(3x) = 5 \\ 2In(3x) = 5 + 5 \\ 2In(3x) = 10 \\ In(3x) = \frac{10}{2} \\ In(3x) = 5 \\ \implies \: 3x = {e}^{5} \\ \implies \: x = \frac{ {e}^{5} }{3} \\ x = \frac{148.41316}{3} \\ x = 49.4710533 \\ x \approx \: \boxed{49.471}[/tex]

Answer:

x= e^ 5 / 3 OR 49.471

Step-by-step explanation:

-5=2In (3x)=5

determine the defined range

-5+2In (3x) = 5, x>0

move the constant to the right- move the five to the right and change the sign

2In (3x)= 5+5

calculate- add them together

2In (3x)=10

divide both sides by 2

In (3x)=5

covert into exponential form ( x=e^5)

3x= e^5

divide both sides by 3

x=e^5/3 , x> 0

(check if the solution is in the defined range) which is the answer

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:

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:

9. 1:53

10. 4:17

11. 2:52

12. 3:35

This should be it have a great day buddy!

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:

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:

5 loaves

Step-by-step explanation:

13 1/3 divided by 2 2/3 is 5 so the answer is 5 loaves.

Rewrite the fractions as improper fractions then divide the total amount used by the amount per loaf:

13 1/3 = 40/3

2 2/3 = 8/3

40/3 / 8/3

When dividing by a fraction flip the fraction over and multiply

40/3 x 3/8 = (40 x3) /( 3 x 8) = 120/24 = 5

She made 5 loaves of bread.

Fraction of students taking mandarin: 3/40

Hope it helps.

Answer:

[tex]a = - \frac{179}{171} \ , \ b = - \frac{20 \sqrt7}{171}\\\\[/tex]

Step-by-step explanation:

[tex]\frac{2 + 5 \sqrt7}{2 - 5 \sqrt7} = \frac{2 + 5 \sqrt7}{2 - 5 \sqrt7} \times \frac{2 + 5 \sqrt7}{2 + 5 \sqrt7}[/tex]                    [tex][ \ rationalize \ the \ denominator \ ][/tex]

         [tex]=\frac{(2 + 5 \sqrt7)^2}{(2)^2 -( 5 \sqrt7)^2}[/tex]                               [tex][ \ (a - b)(a+b) = a^2 - b^2 \ ][/tex]

        [tex]=\frac{4 + 25(7) + 20 \sqrt7}{4 - 25(7)}\\\\= \frac{4 + 175 + 20 \sqrt7}{4 - 175} \\\\= \frac{179 + 20 \sqrt7}{- 171} \\\\= \frac{179}{ -171} + \frac{20 \sqrt7}{-171}\\\\= - \frac{179}{ 171} - \frac{20 \sqrt7}{171}\\\\[/tex]          

Answer:

(-4,8)

Step-by-step explanation:

    x + 4y = 28

+  -x + y = 12

5y = 40

y = 8

-x + (8) = 12

-x + 8 = 12

-x = 4

x = -4

Answer:

1. Electrons

2. amphere

3. closed

4. positive to negative

5.open

Answer:

[tex]4\sqrt{6}[/tex]

Step-by-step explanation:

[tex]\sqrt{96}[/tex]

[tex]\sqrt{2*2*2*2*2*3}[/tex]

[tex]2*2\sqrt{2*3}[/tex]

[tex]4\sqrt{6}[/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:

Triangle

Step-by-step explanation:

h = Tan A x d, where h is the tree height, d is the distance from tree, and A is the angle to the top of the tree.

Basically you want to solve for the hypotenuse by using basic trig

[tex]y \: \alpha \: x[/tex]

Let c be the constant

[tex]y = cx \\ 16 = c4 \\ c = \frac{16}{4} \\ c = 4[/tex]

[tex]y = cx \\ y = 4 \times ( - 2) \\ y = ( - 8)[/tex]

Answer:

y = 4x

Step-by-step explanation:

Given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 16 when x = 4 , then

16 = 4k ( divide both sides by 4 )

4 = k

y = 4x ← equation of variation

When x = - 2 , then

y = 4 × - 2 = - 8

Answer:

the New Cone Volume is 0.1875 litres & the Volume of frustum is 11.8125 litres.

Step-by-step explanation:

According To Question,

We have Given A Right Circular Cone, Volume = 12 Litres .

Now, Let The Radius Of the base be r & the height be h .

Volume of Cone = 1/3×π×r²×h

thus, 1/3×π×r²×h=12

π×r²×h=36 → Equation. 1

Now, The new Cone is cut from the Plane Parallel to a base a quarter the way down from the vertex of the base. then the cone is cut at 1/4 from the base . So the Height of new Cone is h/r and the radius is r/4 .

Then, Volume Of new Cone=1/3×π×(r²/16)×(h/4)  ⇔ (Put Value From Equ. 1)

V= 12/64  ⇔ 0.1875 litres of new cone volume .

Then, the volume of Frustum = 12-0.1875 = 11.8125 litres

Answer:

[tex] \frac{1}{5} [/tex]

n(S) = 5

n(6) =1

So, P(6)= n(6)/n(S)

=1/5

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

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:

It should look roughly like this

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:

x = -7 , x = 2

Step-by-step explanation:

[tex]x^2 + 5x -1 4= 0\\\\x^2 + 7x -2x - 14 = 0\\\\x(x + 7) -2(x + 7) = 0\\\\(x+7)(x-2) = 0\\\\x+ 7 = 0 , \ x - 2 = 0 \\\\x = - 7 , \ x = 2[/tex]

Answer:

x = - 7, x = 2

Step-by-step explanation:

Solve by factoring , that is

x² + 5x - 14 = 0

Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (+ 5)

The factors are + 7 and - 2 , since

7 × - 2 = - 14 and 7 - 2 = + 5 , then

(x + 7)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x - 2 = 0 ⇒ x = 2

Answer:

y = 2/3x - 7.

Step-by-step explanation:

Using the point-slope form of a straight line:

y - y1 = m (x - x1) so we have

y -(-5) ) = 2/3 (x - 3)

y + 5 = 2/3x - 2

y = 2/3x - 7.

Answer:

y = 2/3x -7

Step-by-step explanation:

We know the equation of a line is

y = mx+b where m is the slope and b is the y intercept

y = 2/3 x +b

Substitute the point into the equation

-5 = 2/3 (3)+b

-5 = 2+b

Subtract 2 from each side

-7 = b

The equation of the line

y = 2/3x -7

Answer to this equation:

4 3/4

Answer:

4.75

Step-by-step explanation:

This is what I got. have a nice day:)

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

Answer:

its the second option

Step-by-step explanation:

Answer:

y = 3x - 4

Step-by-step explanation:

x = 2:

3(2) - 4 = 2

x = 3:

3(3) - 4 = 5

x = 4:

3(4) - 4 = 8

x = 5:

3(5) - 4 = 11

Answer:

5.1

Step-by-step explanation:

a² + b² = c²

1² + 5² = c²

1 + 25 = c²

26 = c²

c = 5.1

Answer:

The constant of variation is k =

3/8

When a = 1 and b = 5, what is the value of c?

3/40