Use SOHCAHTOA to find the side measure. Show work. Round to one decimal place.

Given the radius of the regular hexagon, its area is approximately 42in².

Hence, option B) is the correct answer.

Given that;

Since a regular hexagon can be divided into six equal triangle, we will determine the area of a single triangle and then multiply the area by 6 to get the area of the regular hexagon.

Angle of one triangle in the regular hexagon = 360°/6 = 60°.

To determine the height, we divide the triangle into two equal half, making a right angled triangle with hypotenuse 4in, Base 4in/2 = 2in.

We find the perpendicular height using Pythagoras theorem

h = √( (4)² - (2)² )

h = √( 16 - 4 )

h = √( 12 )

h = √( 2² × 3 )

h = 2√3

Now, we determine the area of a single triangle.

Area = (1/2) × base × height

Area = 0.5 × 4 × 2√3

Area = (4√3)in²

Now, to get the area of the regular hexagon, we multiply the area of the triangle by 6

Area of regular hexagon = 6 × (4√3)in²

Area of regular hexagon = 24(√3)in²

Area of regular hexagon = 41.57in² ≈ 42in²

Given the radius of the regular hexagon, its area is approximately 42in².

Hence, option B) is the correct answer.

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Answer: b

Step-by-step explanation:

Answer:

the next sequence is 76+19= 95

Answer:

Next number = 95

Step-by-step explanation:

Hi! Let me help you out.

_________________

To determine the next number in this sequence, we should determine the common difference.

We can do it like this.

[tex]\longmapsto\sf 76-57=19[/tex]

See. I took the third term, and subtracted the second term from it.

Continue.

[tex]\longmapsto\sf 57-38=19[/tex]

                                              ↪

The number we obtain after subtracting is the common difference.

So we should take the third term, "76", and add the common difference, "19" to it.

We obtain 95. Which is the final answer.

⇨Hope that this helped you out! have a great day ahead.⇦

Best Wishes!

[tex]\star\bigstar\overline{\textsf{Reach far. Aim high. Dream big.}}[/tex]

◆◈-Greetings!-◈◆

_______________

Point D would be translated to the point (0, 5).

Translation is an aspect of geometry that moves plane shapes from one point to another along the cartesian coordinates without changing the form in which the shape exists.

Analysis:

Point D is at (0,0) if it is translated up from 0,0 the point D moves 5 units along the y-axis while x axis remain same. So that the new point of D becomes (0,5)

In conclusion, the point D will land at point (0,5)

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The given inequality (8 - X ≥ 5(8 - x)) is solved using graphs method and the result is (Option A); that is x ≥ 8 Graph A.

The inequality is given as: 8-x≥5(8-x)

The next step algebraically is to open the brackets. Hence,

8-x ≥ 40 -5x

Next, we collect like terms

= -x+5x ≥ 40-8

= 4x ≥ 32

Make x the subject of the statement by dividing both sides with 4

= x ≥ 8


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Answer:

2.5 kilometers

Step-by-step explanation:

One kilometer is 1000 meters

To convert from metres to kilometers, we divide by 1000

2500 ÷ 1000 = 2.5km

Answer:

the function is only increasing.

Step-by-step explanation:

Answer:

I believe what you would have to do is add each number so the top left box would be two and the bottom right would be 11

Step-by-step explanation:

Answer:

x=5    y=3      z=5

Step-by-step explanation:

The coefficient is the number in front of the variable

Answer:

Step-by-step explanation:

The coefficient in an expression is the multiplier of a designated part of a term of the expression.

__

The given expression is

  5z -2 +6x +3y

It consists of four (4) terms, added together. One term is a constant, -2. The others each have a single variable that is multiplied by a constant. When we ask for the coefficient of the variable, we are asking for the value of that constant multiplier.

The term containing x is 6x. The multiplier of x in that term is 6, so we say ...

  the coefficient of x is 6.

The term containing y is 3y. The multiplier of y in that term is 3, so we say ...

  the coefficient of y is 3.

The term containing z is 5z. The multiplier of z in that term is 5, so we say ...

  the coefficient of z is 5.

__

In an expression such as πr²h, different parts of the expression will have different coefficients. If we ask for the coefficient of the expression, we are generally asking for the constant: π. (The Greek letter pi is the symbol used to represent the irrational constant ratio between the circumference and diameter of a circle. Is is about 3.1415926535....)

If we ask for the coefficient of h, we are asking for the product (πr²) that multiplies h in this expression. Similarly, the coefficient of r² is (πh). Note that we have specified a "designated part" of the expression for which we want the coefficient. This is important when we are solving equations.

__

The commutative property of multiplication means that parts of a product can be written in any order. That is, 5·z is the same product as z·5. When the constant and variable parts of the expression can be unambiguously identified, the order does not matter. In some cases, a constant coefficient may come in several parts: 3z·5·2 has a z-coefficient of 30, for example.

See below for a case where there may be some ambiguity.

__

In the expression r², the constant 2 that comes after the variable, written as a superscript, is called an "exponent," not a coefficient. Often on Brainly, and sometimes in curriculum materials, you will see this written as r2, because superscripts do not get properly rendered. If you're writing this in plain text, the form r^2 is preferred.

Answer:

she will need 728 pounds to buy 28 cans but she only has 10 pounds so she doesn't even have enough for 1 can of soda

Answer:

Total people = 240

Step-by-step explanation:

Let the total number of people by 'x'.

[tex]\sf \text{Number of men =$ \dfrac{1}{4}*x$} \\[/tex]

[tex]\sf \text{Number of women =$\dfrac{1}{3}x$}[/tex]

Number of children = 100

When we subtract the total number of men and women from the total people 'x', we get the number of children.

[tex]\sf x - \left(\dfrac{1}{4}x+\dfrac{1}{3}x\right)= 100\\\\x - \left(\dfrac{1*3}{4*3}x+\dfrac{1*4}{3*4}x\right)=100\\\\[/tex]

      [tex]x- \dfrac{4+3}{12}x=100\\\\x - \dfrac{7}{12}x = 100\\\\ \dfrac{12}{12}x-\dfrac{7}{12}x = 100\\\\ \dfrac{5}{12}x=100\\[/tex]

          [tex]\sf x = 100*\dfrac{12}{5}\\[/tex]

          x = 20 * 12

          x = 240

Answer:

$90,000

Step-by-step explanation:

We can can use substitution for this. First, we need to create two separate problems that represent this situation. The house and the lot together cost 120000, so we can make the equation h+l=120000. We also know that the house is worth 3 lots, so we can make the equation h=3l. Because h=3l, we can substitute for h, making the equation 3l+l=120000, or 4l=120000. To isolate l, we have to divide both sides by 4. If we do that, we get l=30000. Now, we have to substitute to find h. Our new equation is h+30000=120000. To isolate h, we have to subtract 30000 from each side. If we do this, we get h=90000. That's our answer.

Hope this helps!

Answer:

The tip should be $9.00

Step-by-step explanation:

Option (A) "A polygon has 7 sides. No angles go inside of the shape" is correct.

A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.

As we know, a convex heptagon is a polygon with seven sides, seven internal angles, and seven vertices, which means that a convex heptagon has seven sides.

A convex heptagon is a polygon that has 7 sides. No angles go inside of the shape.

Thus, option (A) "A polygon has 7 sides. No angles go inside of the shape" is correct.

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Answer: the first option

Step-by-step explanation:

The newspaper that is actually the closest to the percentage of voters who support the governor's reelection is the tribune at 71%.

The sample size (n) is the total number of completed responses gathered from a survey sampling process.

From the given information, using the formula for standard error of a sample proportion:

=  √ [p (1-p) / n)]

Therefore, the sample size of the tribune has the greatest and closest estimate to the actual percentage of voters that supports the governor for reelection,

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Answer:

B

Step-by-step explanation:

Answer: Yes it is possible

Example: Yeast is a single-celled fungus.

There are probably other types of fungus that are single-celled. However, some other fungi are multi-celled. You will likely need more information about the organism under the microscrope before you can classify it properly.

Step-by-step explanation:

4(y+8)=9

for this sum first we need to multiply 4to y and 4 to 8

4y+32=9

then u need to -9 from both sides

4y=23

y=23/4

u will get the answer

Answer:

2,3,7,2,5

Step-by-step explanation:

When you factorize a number you divide them until the outcome numbers are prime. 420 is equal to 42 and 10.

42 is equal to 6 and 7 and 6 is 2 times 3

2,3,7 is prime

10 is 2 times 5

2 and 5 is prime

Answer:

420 = 2² × 3 × 5 × 7

Step-by-step explanation:

The first few prime numbers are:  2, 3, 5, 7, 11, 13, 17, ...

To find which prime numbers multiply together to make 420, start by dividing 420 by the first prime number, 2:

⇒ 420 ÷ 2 = 210

As 210 is not a prime number, we need to divide again.  Let's try dividing by 2 again:

⇒ 210 ÷ 2 = 105

As 105 is not a prime number, we need to divide again.  105 is not divisible by 2, so let's try dividing it by the next prime number, 3:

⇒ 105 ÷ 3 = 35

As 35 is not a prime number, we need to divide again.  35 is not divisible by 2 or 3, so let's try dividing it by the next prime number, 5:

⇒ 35 ÷ 5 = 7

As 7 is a prime number, we can stop.

Therefore, 420 is the product of all the prime numbers we found together with the final one:

⇒ 420 = 2 × 2 × 3 × 5 × 7

As 2 appears twice, we can write this using exponents:

⇒ 420 = 2² × 3 × 5 × 7

Answer:

Area: 113cm²

Circumference: 37.7cm

Step-by-step explanation:

to find area use the formula πr², π being Pi (3.14) and r being radius

radius = 6cm (half the diameter)

3.14 × 6² = 113.04cm²

to find the circumference use the formula πd

diameter = 12cm

3.14 × 12 = 37.68

All else being equal, at a $1,333.33 balance, the two credit cards will offer the same deal (finance charge) over a year.

A credit card finance charge is the fee associated with using credit.

Credit card issuers use the finance charges to minimize non-payment risks and earn some profits for extending credit to cardholders.

                   Card A         Credit B

APR              22%               25%

Annual fee  $40                $0

To calculate the balance required, the required equation is

= 22%x + $40 = 25%x

Where x = required balance

Thus,

= 0.22x + $40 = 0.25x

= $40 = 0.03x (0.25x - 0.22x)

= 0.03x = $40

x = $40/0.03

x = $1,333.33

Credit card A has an APR of 22% and an annual fee of $40, while credit card B has an APR of 25% and no annual fee.

Thus, all else being equal, at a $1,333.33 balance, the two credit cards will offer the same deal over the course of a year.

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The translation of line AB to line A'B' is valid and the translation rule is (x,y) ⇒ (x - 7, y - 3)

The graph that completes the question is added as an attachment

From the graph, we have:

A = (3,9) and B = (5,6)

A' = (-4,6) and B' = (-2,3)

Subtract the x and y coordinates of A' from A and B' from B.

So, we have:

AA' = (3 + 4, 9 - 6)

AA' = (7, 3)

BB' = (5 + 2, 6 - 3)

BB' = (7, 3)

See that:

AA' = BB' = (7, 3)

This means that the line AB is translated 7 units left and 3 units down

The translation above means:

(x,y) ⇒ (x - 7, y - 3)

Recall that:

A = (3,9) and B = (5,6)

So, we have:

A' = (3 - 7, 9 - 3)

A' = (-4, 6)

Also, we have:

B' = (5 - 7, 6 - 3)

B' = (-2, 3)

Hence, the translation is valid

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3.75 quarts of paint does Argelis have left with her.

A unit of volume for measuring liquids. 1 gallon = 4 quarts = 8 pints = 16 cups = 128 fluid ounces.

Here, we know that,

1 gallons = 4 quarts

so, 1/2 gallons = 1/2 X 4 = 2 quarts.

and 1/4 gallons = 1/4 X 4 = 1 quarts.

Now, total paint left with Argelis = 1/2 gallons + 3/4 quarts + 1/4 gallons

                                                     =  2 quarts + 3/4 quarts + 1 quarts

                                                    = 3 quarts + 3/4 quarts

                                                    = 15/4 quarts or 3.75 quarts

Thus, 3.75 quarts of paint does Argelis have left with her.

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Answer:

C.) The variable x represents the independent variable

Step-by-step explanation:

The variable "x" is the independent variable because that is the value that we can manipulate. We cannot manipulate the dependent variable because it is determined by the independent variable. In that case, "y" would be the dependent variable because its value is dependent on what "x" is.

A.) is incorrect because g(x) symbolizes the input of the variable "x" into the g function.

B.) is incorrect because "x" is the input.

D.) is incorrect because "x" is the input.

Answer:

A. [tex]12x^{4} -4x^{3} +3x^{2} +3x+20[/tex]

Step-by-step explanation:

For this problem, we have to combine like terms.

Let's look at the equation:

[tex](12x^{4} -4x^{3} +7x+6)+(3x^{2} -4x+14)[/tex]

[tex]12x^{4[/tex], [tex]-4x^{3}[/tex], [tex]3x^{2}[/tex] do not have any other like terms, so we keep all in the final answer.

[tex]7x[/tex] and [tex]-4x[/tex] are like terms, so we combine them. [tex]7x-4x=3x[/tex]

14 and 6 are like terms, so we combine them. 14+6 = 20

Let's put everything into the final equation:

[tex]12x^{4} -4x^{3} +3x^{2} +3x+20[/tex]

So, the final answer is A. [tex]12x^{4} -4x^{3} +3x^{2} +3x+20[/tex]

Hope this helps! If you have any questions about my work, leave them in the comments below!

The equation that represents the profit function is P(x) = 5x - 260

The given parameters are:

C(x) = 3x^2 - x + 200 --- cost function

R(x) = 3x^2 + 4x - 60 --- revenue function

The profit function is calculated as:

P(x) =R(x) - C(x)

This gives

P(x) = 3x^2 + 4x - 60 - 3x^2 + x - 200

Evaluate the like terms

P(x) = 5x - 260

Hence, the equation that represents the profit function is P(x) = 5x - 260

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Translating the given phrase into a variable expression is equal to k - 2.

A variable expression refers to a mathematical equation which can be used to show the relationship that exist between a numerical quantity and a variable.

Next, we would translate the given phrase into a variable expression as follows:

Let the number of keys on the keyring be k.

Therefore, the variable expression is equal to k - 2.

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Complete Question:

Translate the phrase into a variable expression. Use the letter k to name the variable. If necessary, use the asterisk (*) for multiplication and the slash (/) for division.

The number of keys on the keyring minus 2?

Answer:

The length is 11ft.

The width is 8ft.

Step-by-step explanation:

Hello!

Perimeter of a rectangle: [tex]P = 2(l + w)[/tex]

We know that the length is 5 ft less than twice the width, which can be expressed by the equation: l = 2w - 5. We can plug in 38 for "P".

We can substitute the equation for l, and solve for the width.

The width is 8. We can solve for the length by plugging it back into the equation l = 2w - 5

The length is 11.

The dimensions are 11 ft and 8 ft.