Find the area of a regular pentagon with a side of 10 cm. and an apothem of 4 cm.

Answer: [tex]a=\dfrac{1\pm \sqrt{13}}{6}[/tex]

Step-by-step explanation:

Given

Quadratic Equation is  [tex]x^2-x-(2a+2)[/tex]

[tex]-4a[/tex] is the solution of the given equation

[tex]\therefore (-4a)^2-(-4a)-(2a+2)^2=0\\\Rightarrow 16a^2+4a-(4a^2+4+8a)=0\\\Rightarrow 12a^2-4a-4=0\\\Rightarrow 3a^2-a-1=0\\\\\Rightarrow a=\dfrac{1\pm \sqrt{1+12}}{2\times 3}=\dfrac{1\pm \sqrt{13}}{6}[/tex]

Answer:

2

Step-by-step explanation:

Diagonals of a parallelogram bisects each other.

Therefore,

4x = 8

x = 8/4

x = 2

Or

5x = 3x + 4

5x - 3x = 4

2x = 4

x = 4/2

x = 2

Answer:

45000 m

Step-by-step explanation:

Speed = distance / time

10 km/h = distance / 4.5 hours

distance = 10 x 4.5 = 45 km

Kilometre needs to be converted to metres

Ikm = 1000m

45 x 1000 = 45,000m

Answer:

b

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

5x - 2 = 13  (write the equation)

5x - 2 + 2 = 13 + 2  (isolate the variable)

5x = 15

5x/5 = 15/5  (simplify)

x = 3

Answer:  x=3

Step-by-step explanation:

13=5x-2

13+2=5x

15=5x

x=15/5

x=3

Answer:

The measure of the obtuse angle marked UVW is 108

Step-by-step explanation:

Here, we want to get the measure of the angle marked UVW

To get this, we refer to the given diagram

From the diagram;

UVW = UVX + XVW

UVW = 68 + 40

UVW = 108 degrees

Answer: x=50/3

Step-by-step explanation:

Answer:

16.6 ( the 6 is repeated) or 16 and 2/3

Step-by-step explanation:

Take the 7 away which equals 50 and then divide by 3..

Answer:

g(x) = -(0.5)^(x + 1) + 3

Step-by-step explanation:

First, let's define the transformations used in this case:

Horizontal shift (horizontal translation):

If we have a function f(x), a horizontal translation can be written as:

g(x) = f(x - N)

if N is positive, the translation is to the right

if N is negative, the translation s to the left.

Vertical shift (vertical translation):

If we have a function f(x), a vertical translation can be written as:

g(x) = f(x) + N

if N is positive, the translation is upwards

if N is negative, the translation is downwards.

Reflection over the x-axis.

If we have a function f(x), a reflection over the x-axis is written as:

g(x) = -f(x).

Now we have the function:

f(x) = (0.5)^x

Let's apply the transformations:

"shifted to the left 1 unit"

g(x) = f(x - (-1) ) = f(x + 1)

"shifted down 3 unts"

g(x) = f(x + 1) - 3

"reflected over the x-axis"

g(x) = -(  f(x + 1) - 3 ) = -f(x + 1) + 3

now we can replace the function equation here and get:

g(x) = -f(x + 1) + 3 = -(0.5)^(x + 1) + 3

.............Option B)

Pregunta completa:

Un albañil pone azulejos a una pared de 6 m de largo y 2,4 m de alto. Los azulejos son cuadrados de 30 cm de lado. ¿Cuants, cajas tendra que comprar si en una caja hay 25 azulejos? Con procedimiento.

Respuesta:

160 tejas

7 cajas

Explicación paso a paso:

Dimensión de la pared = 6 m por 2,4 m

Área de la pared = 6 m * 2,4 m

Área de la pared = 14,4 m²

Longitud lateral, s de teja cuadrada = 30 cm = 0,3 m

Área de la loseta cuadrada = s² = 0.3² = 0.09m²

Número de baldosas cuadradas necesarias:

14,4 m² ÷ 0,09 m²

= 160 fichas cuadradas

Si hay 25 fichas en una caja;

Número de cajas a comprar:

160/25

= 6,4 ≈ 7 cajas

Answer:

75%

Step-by-step explanation:

Answer:

I think it is J

Step-by-step explanation:

the x-2.... so on x axis on 2....and +5 is y intercept

Answer:

A

Step-by-step explanation:

Trust

The correct equation is,

⇒ y = 12,400 - 820r

And, Amount for 7 years is, $6,660

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

We have to given that;

Here, your truck has an initial value of $12,400 depreciates $820 per year.

Let number of years = r

Hence, We get the correct equation is,.

⇒ y = 12,400 - 820r

So, For r = 7 years;

⇒ y = 12400 - 820 x 7

⇒ y = 12400 - 5740

⇒ y = $6,660

Thus, The correct equation is,

⇒ y = 12,400 - 820r

And, Amount for 7 years is, $6,660

Learn more about the equation of line visit:

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Answer:

I think it's 160 square inches. Try L x W x H (length multiplied by width multiplied by height). So that would mean 4 x 5 = 20 x 8 = 160,

hope this helps!

Answer:

Step-by-step explanation:

Answer:

I believe its 17, this is a 90 degree angle, so 90-73=17

Step-by-step explanation:

Answer:

??????

Step-by-step explanation:

What that does not make sence at all

Answer:

10 * 5 + 4^2 + (5 + 30 ÷ 10)=74

Answer:

74

Step-by-step explanation:

Answer:

please provide the image! would love to help.

Step-by-step explanation:

Answer:

128

Step-by-step explanation:

I took the test

Answer:

9.6%

Step-by-step explanation:

The probability that a model rocket falling randomly on the pad will land in the target is 9.6% if the rectangular landing pad measures 20' × 25' with a rectangular target on the pad measuring 6' × 8'.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have a rectangular landing pad measures 20' × 25' with a rectangular target on the pad measuring 6' × 8'.

To get the geometric probability, we must find the area of the rectangle.

Total outcomes = 20' × 25' = 500'

Total favourable outcomes =  6' × 8' = 48'

Probability = 48/500 = 0.096

= 0.096×100 = 9.6%

Thus, the probability that a model rocket falling randomly on the pad will land in the target is 9.6% if the rectangular landing pad measures 20' × 25' with a rectangular target on the pad measuring 6' × 8'.

Learn more about the probability here:

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Answer:

69

Step-by-step explanation:

Answer:

69 m²

Step-by-step explanation:

The figure is composed of 2 right triangles

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

A of triangle on left is

A = [tex]\frac{1}{2}[/tex] × 9 × 10 = 45 m²

A of triangle on right is

A = [tex]\frac{1}{2}[/tex] × 8 × 6 = 24 m²

Total area = 45 + 24 = 69 m²

3x-25=14

First, you'll add the 25 to the other side of the equation because its negative. 25+14 =39. then you'll divide these by 3. (because it says 3 times what curtis spent.)

39÷3=13. so the answer is 13. curtis spent 13 dollars shopping.

Answer:

10

Step-by-step explanation:

2--8

2+8

10

8 below zero is -8

Answer:

The first bottle holds 10 ounces of water.

Step-by-step explanation:

The bottle holds z ounces.

The second bottle holds 16 ounces, which is 8/5 times the first, which is z.

How much water does the first bottle holds?

[tex]\frac{8z}{5} = 16[/tex]

[tex]8z = 16*5[/tex]

[tex]8z = 80[/tex]

[tex]z = \frac{80}{8}[/tex]

[tex]z = 10[/tex]

The first bottle holds 10 ounces of water.

Answer:

c

Step-by-step explanation:

it a c....................

Answer:

12=4 3          4=2 2

Step-by-step explanation: