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The area of the pentagon is approximately 15 square inches.

To find the area of the pentagon, we can use the formula for the area of a regular pentagon:

Area = (5/4) * (s²) * (1/tan(π/5)),

where "s" is the length of the side of the pentagon.

Given that the sides of the pentagon are as follows:

Two smallest sides = 2 inches,

Two largest equal sides = 4 inches,

One other equal side = 3 inches.

Since the pentagon is not a regular pentagon, we need to find the area by dividing it into different shapes and then calculating their individual areas.

The pentagon can be divided into three shapes: a rectangle and two triangles.

Rectangle:

The two smallest sides (2 inches) form the length and width of the rectangle.

Area of the rectangle = Length * Width = 2 inches * 2 inches = 4 square inches.

Triangle 1:

The two largest equal sides (4 inches) and one of the 3-inch sides form a triangle.

To calculate the height (h) of the triangle, we can use the Pythagorean theorem, since it is a right triangle.

h² = (4 inches)² - (1.5 inches)², [1.5 inches is half of the 3-inch side]

h² = 16 inches² - 2.25 inches²,

h² = 13.75 inches²,

h ≈ 3.7 inches.

Area of Triangle 1 = (1/2) * Base * Height = (1/2) * 3 inches * 3.7 inches ≈ 5.55 square inches.

Triangle 2:

The two largest equal sides (4 inches) and the other 3-inch side form another triangle.

Using the same height (3.7 inches) from Triangle 1:

Area of Triangle 2 = (1/2) * Base * Height = (1/2) * 3 inches * 3.7 inches ≈ 5.55 square inches.

Now, to find the area of the pentagon, we add the areas of the rectangle and the two triangles:

Total Area = Area of Rectangle + Area of Triangle 1 + Area of Triangle 2

Total Area = 4 square inches + 5.55 square inches + 5.55 square inches

Total Area ≈ 15.1 square inches.

Therefore, the area of the pentagon is approximately 15.1 square inches.

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Answer:

20% de 240=20×240÷100= 48 practican deporte

Answer:

(-3,5)

Step-by-step explanation:

Rewrite in vertex form and use this form to find the vertex.

Answer:

It's on the third at the picture

Step-by-step explanation:

hope it helps make brainlliest ty the

Answer:

Frogs : 7, 14, 28

Turtles : 3, 6, 12

Step-by-step explanation:

Multiply equivalently with the same multiple.

Equivalent ratios : (7 : 14) (6 : 12)

Answer:

7*2=14

14*2=28

3*2=6

6*2=12

7/3

14/6

28/12

Answer:

6.7%

Step-by-step explanation:

Mean = 32.7

Standard deviation = 1.8

Percentage of employees younger Than 30 years

Obtained the Standardized age, x < 30

Z = (x - mean) / standard deviation

Z = (30 - 32.7) / 1.8

Z = - 2.7 / 1.8

Z = - 1.5

Obtain the probability :

Using a Z probability calculator or standard normal table :

P(Z < - 1.5) = 0.066807

0.066807 * 100% = 6.7%

Answer:

im not sure but i think its A

Step-by-step explanation:

Answer:

5 1/3

Step-by-step explanation:

You turn 1 1/3 into an improper fraction by multiplying 3 time 1 plus 4 and you get 4/3. you multiply 4/1 time 4/3 and get 16/3. 16/3 divided by 3 = 5 with a remainder of 1 and get 5 1/3

Answer:

761.54$

Step-by-step explanation:

Step-by-step explanation:

the answer is £761.54

if I am right plz give brainliest

Answer:

the answer is either B or C i beloeve

3 bottom sections:

10 x 20 = 200

5x 20 = 100

10 x 20 = 200

Bottom area = 200 + 200 + 100 = 500 square feet.

Short side: 3 x 20 = 60

Deep end wall : 6 x 20 = 120

Side wall : (24 x6) - (10x3) - (1/2 x 4x3) = 144-30-6 = 108

2 side walls: 108 x 2 = 216

Total area : 500 + 216 + 60 + 120 = 896 square feet

Divide total area by area of 1 gallon:

896/400 = 2.24 gallons

It will take 2.24 gallons of paint

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Answer:

y=x+1

Step-by-step explanation:

i hope this helps :)

Answer:

y=x+1

Step-by-step explanation:

The gradient is y2-y1:x2-x1 which is 9-1:8-0 ; for example using two points on the line. The gradient is 1, so y=x is the first thing we get. Then you will use a point that is on the line in that equation. For example: y=x, 2=1. So it cannot be like this so we have to add 1. 2=1+1, therefore y=x+1

Answer:

Total rent= $900

Step-by-step explanation:

Giving the following information:

Total monthly budget= $3,000

Percentage of rent in the budget= 30%

To calculate the monetary value paid in rent, we need to use the following formula:

Total rent= percentage of rent paid*total monthly budget

Total rent= 0.3*3,000

Total rent= $900

Answer:

(x+6)(x-2)

Step-by-step explanation:

using the x method, the only two numbers that multiply to get -12 and add to get 4 are 6 and -2

Answer:

(x+6)(x-2) A P E X :)

Answer:

Ha recorrido 8 km.

Step-by-step explanation:

Primero debes multiplicar el diámetro de la rueda por el número de vueltas que ha dado para encontrar cuánto ha recorrido:

80cm*10.000=80.000 cm

Ahora, debes convertir los 800.000 cm a km usando una regla de tres considerando que 1 km es igual a 100.000 cm:

1 km    →    100.000 cm

 x       ←    800.000 cm

x=(800.000*1)/100.000

x=8 km

De acuerdo a esto, la respuesta es que ha recorrido 8 km.

Answer:

1 and 5

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

A x 4pi=4piA = C^2

square root both sides and here you go

hope that answers your question

Answer:

(x+1)(x-1)(x+3)(x-3)

Step-by-step explanation:

it is a fourth degree trinomial

1) find two number whose sum is -10 and whose product is 9

the two numbers are -1 and -9

2) write the trinomial as a multiplication in this way

(x^2-1)(x^2-9)

3) the two factors are both a difference of tho squares.

so we can rewrite it as

(x+1)(x-1)(x+3)(x-3)

Answer:

median: 60

mean:44

Step-by-step explanation:

80-20=60

30+50+80+40+20=220

220÷5=44

Answer:

If the value of the discriminant is equal to zero

If the value of the discriminant will equal to zero then there will not be both a positive and a negative solution, when finding the square root.​

The square root is the number with a power of 1/2 we can also say that by taking the square root we can find the original value of the number.

So from the condition given in the question that:-

There would NOT be both a positive and a negative solution, when finding the square root.​

So if the number is zero then there will not be both a positive and a negative solution, when finding the square root.​

=  √0 = ± 0 = 0

Hence the value of the discriminant will equal to zero then there will not be both a positive and a negative solution, when finding the square root.​

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Answer:

A triangular prism has base edges 4 cm, 5 cm, and 6 cm long. Its lateral area is

300 cm2.

What is the height of the prism?

Answer:

b = 2a + 3

Step-by-step explanation:

Here, we want to write an expression for b in terms of a

Mathematically, the formula for the slope of a line is

m = (y2-y1)/(x2-x1)

m is 2

(x1,y1) = (-1,1)

(x2,y2) = (a,b)

Substituting these values

2 = (b-1)/(a-(-1))

2 = b-1/a + 1

2(a + 1) = b-1

2a + 2 = b- 1

2a + 2 + 1 = b

b = 2a + 3

Answer:

[tex](a)\ \frac{6^7}{6^4} = \frac{6*6*6*6*6*6*6}{6*6*6*6}[/tex] --- expanded form

[tex](b)\ \frac{6^7}{6^4} = 6*6*6[/tex] --- Divide common factor

(c) The exponent of the simplified power is 3

Step-by-step explanation:

The original question is:

[tex]\frac{6^7}{6^4}[/tex]

Required

- Express the exponents in expanded form

- Divide common factors

We have:

[tex]\frac{6^7}{6^4}[/tex]

In indices:

[tex]x^2 = x * x[/tex]

So, the above expression becomes:

[tex]\frac{6^7}{6^4} = \frac{6*6*6*6*6*6*6}{6*6*6*6}[/tex]

Divide the common factors, to give:

[tex]\frac{6^7}{6^4} = 6*6*6[/tex]

Express as an exponent

In indices;

[tex]x * x * x = x^3[/tex]

So, we have:

[tex]\frac{6^7}{6^4} = 6^3[/tex]

The simplified power is [tex]6^3[/tex] and 3 is the exponent

Answer: 0 solutions, II only, 1 solution

Step-by-step explanation:

When the first equation is factored, there are no real solutions that can be found. b^2 - 4ac has to be greater than 0 to have two solutions. x^2 + 2x + 1 is (x + 1) ^ 2, so there is one solution.

The slope intercept form is y= 3/2 x - 3.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

We have the Equation as

-6x + 4y= -12

As, the slope intercept form is y= mx+ b

So, 4y= -12 + 6x

y= -12/4 + 6/4x

y = -3 + 3/2x

y= 3/2 x - 3

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Answer:

Ryan is a more consistent performer

Step-by-step explanation:

The complete question is

HEL 1. Shown are the final scores for Norm Duke in the past eight bowling tournaments.

299, 281, 285, 269, 280, 269, 286, 287

Part A: What is the mean absolute deviation of Norm Duke’s scores?

A.

7.50

B.

7.00

C.

7.25

D.

6.75

Part B: Based on the mean absolute deviation from Part A, who has been the more consistent bowler if Ryan Shafer has a mean absolute deviation of 7?

Solution

First we will find the mean deviation of Duke is 7.5

The standard deviation of Ryan is 7.0. This means that the average variation in case of Duke is higher than that of average variation of Ryan.

Hence, Ryan has been more consistent performer