Find the surface area of the regular hexagonal pyramid. Round your answer to the nearest hundredth. A. 69.18 m^2 B. 79.18 m^2 C. 89.18 m^2 D. 99.18 m^2

Find The Surface Area Of The Regular Hexagonal Pyramid. Round Your Answer To The Nearest Hundredth. A.

Answers

Answer 1

Answer: OPTION B

Step-by-step explanation:

 Use the following formula:

[tex]SA=\frac{pl}{2}+B[/tex]

Where p is the perimeter of the base, l is the slant height and B is the area of the base.

The perimeter is:

[tex]p=6*s=6*3m=18m[/tex]

Where s is the lenght of a side.

The slant height is given:

[tex]l=6,2m[/tex]

The area of the base is:

[tex]B=\frac{3\sqrt{3}s^2}{2}=\frac{3\sqrt{3}(3m)^2}{2}=23.382m^2[/tex]

Where s is the length of a side.

Substitute values. Then, the result is:

[tex]SA=\frac{(18m)(6.2m)}{2}+23.382m^2=79.18m^2[/tex]

Answer 2

Answer:

The correct answer option is B. 79.18 m^2.

Step-by-step explanation:

We are given a diagram of a regular hexagonal pyramid with height 5.6 m, slant height 6.2 m and base edge length 3m.

We know that the surface area of a regular hexagonal pyramid is given by:

[tex]\frac{PI}{2} +B[/tex]

where P = perimeter of the base, I = slant height and B = base area.

Perimeter of base = [tex]3 \times 6[/tex] = 18 m^2

Base area (area of hexagon) = [tex]\frac{3\sqrt{3} }{2} a^2[/tex] =  [tex]\frac{3\sqrt{3} }{2} 3^2[/tex] = 23.38 m^2

Surface area of hexagonal pyramid = [tex]\frac{18 \times 6.2}{2} +23.38[/tex] = 79.18 m^2


Related Questions

Consider the following geometric sequence -5, 10, -20, 40,..... if the recursive formula for the sequence above expressed in the form a(n)=b*c^n-1, determine the value of b and c.

Answers

B is -5 and C is -2. Since -5 is the first number, a(1) is bc^0 and that would make c = 1. B would need to be -5. In the second number, since we know b is -5, c would need to be -2 and anything to the 2-1 is just the same value.

When you don’t know the answer on a multiple choice questions, it is generally best to:

APEX

Answers

B , go with your first guest
Final answer:

When you don’t know the answer on a multiple choice questions, it is generally best to use the process of elimination, make an educated guess, or use prior knowledge to increase your chances of getting the right answer.

Explanation:When you don’t know the answer on a multiple choice questions, it is generally best to:

When you encounter a multiple choice question and you don't know the answer, there are a few strategies you can use to increase your chances of getting it right:

Process of elimination: Go through each answer choice and eliminate the ones that you know are incorrect. This reduces the options and increases your chances of guessing correctly.Guess strategically: If you can eliminate a few answer choices, make an educated guess based on the remaining options. For example, if you know that two answer choices are incorrect, your guess will have a 50% chance of being correct.Use prior knowledge: Sometimes, even if you don't know the answer, you can make an educated guess based on what you already know about the subject. Use any clues or information from the question stem to help guide your guess.

Remember, when guessing on multiple choice questions, it's important to consider the context of the question and eliminate obvious incorrect choices before making your guess.

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The trainers you bought came in a cuboid shaped box. Which of the following is a net of a cuboid?

Answers

Here's what a net of a cuboid looks like if that was what you were asking.

Final answer:

The question involves identifying a net for a cuboid, which is a two-dimensional arrangement of rectangles that can be folded into a three-dimensional box shape.

Explanation:

The subject of the question is identifying a net of a cuboid. A net is a two-dimensional shape that can be folded to form a three-dimensional object. In the case of a cuboid, its net consists of 6 rectangles that correspond to the faces of the cuboid: top, bottom, front, back, and two sides. To create a net, you would draw these 6 rectangles in such an arrangement that when the edges are folded up, they would form the sides of a cuboid. The question requires understanding of basic geometry and how two-dimensional shapes can construct three-dimensional forms.

Find the surface area of the rectangular prism.

Answers

Answer:

130 ft^2

Step-by-step explanation:

SA= surface area

SA= 2*l*w + 2*l*h + 2*w*h

l= length = 10

w= width =5

h = height = 1

SA= 2*l*w + 2*l*h + 2*w*h

SA= 2*10*5 +2*10*1+2*5*1

SA= 100+20+10

SA= 130 ft^2

Based on a sample survey, a company claims that 75% of their costumers are satisfied with their products. Out of 1,176 customers, how many would you predict to be satisfied?

Answers

Answer:

I got 882

Step-by-step explanation:

I did what is 75% of 1,176

(___)^2=(secx-1)(secx+1)
Answer:____

Answers

Answer:

tan

Step-by-step explanation:

                                                                (secx - 1)(secx + 1)

Remove parentheses                          = sec²x - 1

Use the identity: tan²x  + 1 = sec²x     = tan²x + 1 - 1

                                                             = tan²x

tan²x = (secx - 1)(secx + 1)

Answer:  The required answer is tan x.

Step-by-step explanation:  We are given to complete the following trigonometric identity :

[tex](\_\_\_\_\_)^2=(\sec x-1)(\sec x+1).[/tex]

We will be using the following identity from trigonometry to complete the given identity :

[tex]1+\tan^2\theta=\sec^2\theta\\\\\Rightarrow \sec^2\theta-1=\tan^2\theta~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

Now, we have

[tex](\sec x-1)(\sec x+1)\\\\=\sec^2x-1\\\\=\tan^2x~~~~~~~~~~[\textup{from equation (i)}]\\\\=(\tan x)^2.[/tex]

Thus, the complete identity is

[tex](\tan x)^2=(\sec x-1)(\sec x+1).[/tex]

Thus, the required answer is tan x.

Helpppp!BASIC MATHhhh

Answers

How much we need for start-up supplies . . . . . $25

AFTER start-up supplies we want to have . . . $70

Total amount we need to get started . . . (25 + 70) = $95

Number of people contributing . . . (me + 4) = 5

Amount each person needs to kick in . . . (95/5) = $19

As your preliminary Accountant, please reserve me one dozen (13) bagels from the first batch you produce !

Going to the movies costs $9.50 per person. What is the slope of the line that models this situation, if x represents the number of people and y represents the total cost?

Answers

Answer:

The slope is 9.5

The equation is y = 9.5x

Step-by-step explanation:

The equation is in the form of y = mx + b, where m represents the slope.

 In the case of our situation, y = 9.5x , b = 0 and m = 9.5

9.5 is the slope because that is the rate of change as x increases per ticket sale

The slope of the line that models this situation will be 9.5.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Heading out to the films costs $9.50 per individual.

Let 'x' be the number of people and 'y' be the total cost. Then the equation is given as,

y = 9.5x

The slope of the line that models this situation will be 9.5.

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Plz help me i need it

Answers

I'm sorry I'm not entirely sure. But I think -2 and 4. If it's not multiple choice I say -2.

Answer:   4

Step-by-step explanation:

Average rate of change is the slope between that interval

[tex]f(x) = x^2-3\\\\f(1)=1^2-3\\.\qquad =-2\\,\qquad (1, -2)\\\\f(3)=3^2-3\\.\qquad =6\\.\qquad =(3,6)\\\\slope=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\slope=\dfrac{6-(-2)}{3-1}=\dfrac{8}{2}=\large \boxed{4}[/tex]

Do any of you know the answer to this​

Answers

Answer: n< -4 , or Interval notation as ( -∞, -4 )

Step-by-step explanation:

* Hopefully the work below helps:) Mark me the brainliest:)!!

∞ 234483279c20∞

Answer:

n < -4 is equivalent to -n > 4

Step-by-step explanation:

-n > 4            change the signs

n < -4

What word is synonymous for take-home pay

Answers

Answer:

net pay

Step-by-step explanation:

"Net" refers to what you get to keep after taxes or any fees,

"Gross" is your total before taxes and fees

Answer: Take-Home Pay is the money a person has after paying off all the things that are forced, like taxes.

Step-by-step explanation: There is none. It's English.

Explain how you would use mental math to express 16/25 as a percent???

Answers

16/25 (× 4 -up & down)

=64/100 (devide)

=0.64%

What is the measure of PQR
A.51
B.55
C.74
D.78
Please I really need help

Answers

the answer is B maybe

180- 51- 74

=55

Answer:

b

Step-by-step explanation:

Which of these is an example of an employer using benefits to encourage employees to stay with their company

Answers

Answer:

maybe convince them for a higher pay rate

Step-by-step explanation:

If a cone has a surface area of 822.78cm^2 and a diameter of 18cm, find the slant height of the cone

Answers

Answer:

[tex]20.11\ cm[/tex]

Step-by-step explanation:

we know that

The surface area of the cone is equal to

[tex]SA=\pi r^{2}+\pi rl[/tex]

where

r is the radius

l is the slant height

In this problem we have

[tex]SA=822.78\ cm^{2}[/tex]

[tex]r=18/2=9\ cm[/tex] -----> the radius is half the diameter

substitute and solve for l

[tex]822.78=\pi (9)^{2}+\pi (9)l[/tex]

[tex]822.78=81\pi +9\pi l[/tex]

[tex]l=(822.78-81\pi)/9\pi[/tex]

[tex]l=(822.78-81(3.14))/9(3.14)=20.11\ cm[/tex]

The slant height of the cone is approximately 20.1154 cm.

[tex]\[ \text{Surface Area} = \pi r (l + r) \][/tex]

where r is the radius of the base of the cone, and l is the slant height of the cone.

Given that the diameter of the cone is 18 cm, we can find the radius r by dividing the diameter by 2:

[tex]\[ r = \frac{diameter}{2} = \frac{18 \text{ cm}}{2} = 9 \text{ cm} \][/tex]

Now we can substitute the values we know into the surface area formula:

[tex]\[ 822.78 \text{ cm}^2 = \pi \times 9 \text{ cm} \times (l + 9 \text{ cm}) \][/tex]

To find l, we need to solve for l in the equation:

[tex]\[ 822.78 \text{ cm}^2 = 9 \pi \text{ cm} \times (l + 9 \text{ cm}) \] \[ \frac{822.78 \text{ cm}^2}{9 \pi \text{ cm}} = l + 9 \text{ cm} \] \[ \frac{822.78}{9 \pi} = l + 9 \] \[ l = \frac{822.78}{9 \pi} - 9 \][/tex]

Now we calculate the value of l:

[tex]\[ l = \frac{822.78}{9 \times \pi} - 9 \] \[ l = \frac{822.78}{28.27433388} - 9 \] \[ l \approx 29.1154 - 9 \] \[ l \approx 20.1154 \text{ cm} \][/tex]

PLEASE HELP ASAP!!!!
1. Give an example of a compound event. Why is it a compound event? How do you calculate the probability of a compound event?

2.Explain how you would create and use a spinner to simulate the probability of an event.

3.Max has a bag of plain and cat’s eye marbles. There are 30 plain marbles and 7 cat’s eyes. He picks one marble and sets it aside. Then he picks
another. What is the probability that he picked 2 cat’s eye marbles?

Answers

Answer: a compound event is when only 2 things can happemn

you divide the first number by the second number

you would creat a spinner with several collers then each coler would be a event you spin and that coler is the event

7/37

please give me brainly

Step-by-step explanation:

Final answer:

An example of a compound event is tossing a coin and drawing a card; it involves multiple independent events. A spinner for probability should represent outcomes fairly. The probability that Max picks 2 cat's eye marbles consecutively is calculated by multiplying the probability of each selection.

Explanation:

Understanding Compound Events and Probability

An example of a compound event is tossing a coin and drawing a card from a poker deck simultaneously. It is classified as a compound event because it consists of two independent events that result in a combined outcome. The probability of a compound event is calculated using the product rule when the events are independent. This is done by multiplying the probabilities of each independent event occurring on its own.

To create a spinner that simulates the probability of an event, identify all the possible outcomes and ensure they are represented on the spinner fairly, with areas proportional to the probabilities of the outcomes. Spin the spinner a large number of times, documenting the outcomes to estimate the probability based on relative frequency.

Calculating the probability that Max picks 2 cat’s eye marbles in a row involves dependent events since the outcome of the first draw influences the outcome of the second. Initially, there is a 7/37 chance of picking a cat’s eye marble. Once one is picked, there are 6 cat’s eye marbles left and 36 marbles in total, so the probability of the second pick being a cat’s eye marble is 6/36. The combined probability is (7/37)*(6/36).

Of the choices below, which unit of measurement would be most appropriate for measuring the mass of a train?

Answers

comment the choices and I can tell you the answer. from a guess I would say kilogram

Kilograms kg is the unit of measurement would be most appropriate for measuring the mass of a train.

What is mass?

Mass is defined as the matter that is present in the given object. Following are the most commonly used units for the measurement of mass:

GramKilogram

SI Unit of Mass;

The standard SI unit of mass is as; kilogram (kg)

Other units that are accepted for use in SI are gram (g) and its multiples and submultiples, a tonne (t) (or “metric ton”), electronvolt (eV), the atomic mass unit (u) which is most convenient for expressing the masses of atoms and molecules.

Hence, Kilograms kg is the unit of measurement would be most appropriate for measuring the mass of a train.

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please please help 1-5

Answers

Answer:

1. 12 bags for total cost of 119.88

2. Yes. You'll make $180.12 for your labor.

3. Other tools, transportation, weather delay etc.

4. $28.02

5. Yes

Step-by-step explanation:

Begin by finding the area of the field. The field is a rectangle and measures 360 by 160. The area is A = l*w = 360*160 = 57,600 square feet. One bag of fertilizer will cover 5000 square feet. Divide 57,600 by 5000 to find the number of bags needed. You'll need 11.52 bags or rounded 12 bags.

Since each bag costs $9.99, multiply 12 by $9.99 to get the total cost for the fertilizer. The cost is $119.88. If the athletic department pays you $300. You'll make 300 - 119.88 = 180.12 for your labor. This is a good profit.

If you have to purchase another tool for $40, then the cost increases to 159.88. This decreases your profit to 180.12 - 40 = 140.12. Divide your profit 140.12 by the 5 hours you work to find how much you earn per hour. You earn $28.02 per hour.

Yes, I would take the job, since $28.02 is well above minimum wage.

On a​ map, 1 inch equals 20 miles. Two cities are 8 inches apart on the map. What is the actual distance between the​ cities?

Answers

If 1 inch equals 20miles then 8 inches equals 20 x 8 = 160 miles.

So you want to find out the distance for both the cities. Since there are 8 inches to both cities, then the answer would be 160 miles since every inch would equal to 20 miles, which is the actual distance.

Hope this helped!

Nate

how much larger is 8,000,000 than 200 ?​

Answers

Answer:

7,999,800

Step-by-step explanation:

8,000,000 minus 200 = answer

Which of the following is the graph of y= x2 + 2x +1

Answers

Answer:

Step-by-step explanation:

you should show the graph

but

simplify it

What is the sum of -3 2/8 + 1/4

Answers

-3



-3 2/8 is the same as -3 1/4

-3 1/4 + 1/4 = -3

what is 6(2y+8)-2(3y-2)

Answers

The answer is 6y + 52.

first, distribute.

6 • 2y = 12y

6 • 8 = 48

this would equal

12y + 48

then do the same for the other part

2 • 3y = 6y

2 • 2 = 4

this would equal

6y + 4

put them all into one.

12y + 48 - 6y + 4

combine the like terms..

12y - 6y = 6y

48 + 4 = 52

the final answer would be 6y + 52

Solve by Elimination. (10 Points)
Show all work. Clearly identify the solution.
y=2x+3
x+y=6

Answers

Make y the subject:

y = 6 - x

Now, use Elimination.

0 = 3x - 3

Divide both sides by 3:

0 = x - 1

So x = 1.

Substitute back into the equation:

y = 6 - (1)

So y = 5.

Hence, the answers are x = 1, y = 5.

Which equation represents a circle with a center at -3,-5 and a radius of 5

Answers

Answer: [tex](x+3)^2+(y+5)^2=25[/tex]

Step-by-step explanation:

The equation of the in center-radius form  is the shown below:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where the center is at the point (h,k) and r is the radius of the circle.

Based on the information given in the problem, the center of the circle is at the point (-3,-5) and a radius of the circle is 5, then,  you must substitute values into the equation shown above.

Therefore, you obtain the following equation:

[tex](x-(-3))^2+(y-(-5))^2=(5)^2[/tex]

[tex](x+3)^2+(y+5)^2=25[/tex]

x/2 + 3/2 < 5/2 give solution ​

Answers

Start with

[tex]\dfrac{x}{2}+\dfrac{3}{2}<\dfrac{5}{2}[/tex]

Multiply the whole equation by 2. Since 2 is positive, we don't need to switch the inequality sign:

[tex]x+3<5[/tex]

Subtract 3 from both sides:

[tex]x<2[/tex]

1-sin^2x/sinx-cscx

How do I solve this problem? I keep getting the wrong answer.

Answers

Answer:

-sinx

Step-by-step explanation:

a trig identity that is crucial to solving this problem is: sin^2 + cos^2 = 1

with knowing that, you can manipulate that and turn it into 1 - sin^2x = cos^x

so 1-sin^2x/sinx - cscx becomes cos^2x/sinx - cscx

it is also important to know that cscx is the same thing as 1/sinx

knowing this information, cscx can be replaced with 1/sinx

(cos^2x)/(sinx - 1/sinx)

now sinx and 1/sinx do not have the same denominator, so we need to multiply top and bottom of sinx by sinx; it becomes....

cos^2x

---------------------

(sin^2x - 1)/sinx

notice how in the denominator it has sin^2x-1 which is equal to -cos^2x

so now it becomes:

cos^2x

--------------

-cos^2x/sinx

because we have a fraction over a fraction, we need to flip it

cos^2x          sinx

---------- * ----------------

1                  -  cos^2x

because the cos^2x can cancel out, it becomes 1

now the answer is -sinx

A bank teller notices that an account was overdrawn and had a balance that can be represented by –$324. The account holder then deposited 3 checks for $150 each and made 4 withdrawals of $20 each. The teller used the steps below to find the new balance for the account. Step 1 Start: –$324 Deposits: $150 each Withdrawals: –$20 each Step 2 –324 + 3(150) + 4(–20) Step 3 –324 + 450 – 80 = 46 Step 4 The account is overdrawn by $46.

Answers

Final answer:

The problem is a basic mathematical exercise involving negative and positive numbers related to bank transactions. The original balance is overdrawn and represented as a negative number, and then deposits and withdrawals are added and subtracted respectively to find the new balance which still ends up overdrawn.

Explanation:

The problem given is about mathematical operations and bank transactions. The subject here is a subtraction and addition problem involving negative and positive numbers. The initial account balance represented as '––$324' shows an overdrawn account and is a negative number. Then, the account holder deposited checks, which is a positive value represented by '3(150)', and each deposit is $150 making it a total deposit of $450. Then, the account holder made withdrawals represented by '4(–20)', each withdrawal of $20 thereby making a total withdrawal of $80. Therefore, to find the new balance of the account, the calculation should be as follows: '–324 + 3(150) – 4(20) -> –324 + 450 – 80', which equals 46, indicating that the account is overdrawn by $46.

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the pair of variables x=–3, y=8 is the solution to the equation 5x+by=17. Find the coefficient b.

Answers

Answer:

Step-by-step explanation:

I think I have helped you before with this problem, substitute x and y with -3 and 8 respectively, so 5*(-3)+8b=17, -15+8b=17, 8b=32, divide both sides by 8 and you get b=4

Consider the following figure. Which of the following statements are true?
A. 2 and 3 form a linear pair
B. 1 and 4 are supplementary angles
C. m1 + m2 + m 3 = 180
D. m3 + m4 = m1 + m2
E. 1 and 4 are vertical angles

Answers

The answer would be D and E

The following statements that are true: m1 + m2 + m 3 = 180 and 1 and 4 are vertical angles.

Statement A is false. Angles 2 and 3 are not adjacent to each other, so they do not form a linear pair.

Statement B is false. Supplementary angles add up to 180 degrees, but angles 1 and 4 do not add up to 180 degrees.

Statement C is true. The sum of the measures of the angles in a triangle is 180 degrees. Therefore, the sum of the measures of angles 1, 2, and 3 is 180 degrees.

Statement D is false. Angles 3 and 4 are not opposite each other, so they are not vertical angles.

Statement E is true. Vertical angles are opposite each other, and angles 1 and 4 are opposite each other. Therefore, angles 1 and 4 are vertical angles.

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