URGENT!!! Find the surface area of the regular pyramid to the nearest hundredth.

URGENT!!! Find The Surface Area Of The Regular Pyramid To The Nearest Hundredth.

Answers

Answer 1

Answer:

632.83mm²

Step-by-step explanation:

Applying Pythagorean theorem to triangle SOH

SH² = SO² + OH²

SH = [tex]\sqrt{(15.4)^2+(7.2)^2}=17mm[/tex]

Since the base of the pyramid is a regular pentagon, angle OAH
is 108°/2 = 54°.

AH = 7.2/tan 54° = 5.23mm

So AB = 2AH = 10.46mm

The area of triangle SAB is:

A1 = 1/2 × SH × AB = 1/2 × 17 × 10.46 = 88.91mm²

The area of all triangles is

A2 = 5 × A1 = 5 × 88.91 = 444.55mm²

The area of the base is:

A3 = (perimeter × apothem)/2 = (5 × 10.46 × 7.2)/2 = 188.28mm²

The surface area of the pyramid is:

A2 + A3 = 444.55 + 188.28 = 632.83mm²

URGENT!!! Find The Surface Area Of The Regular Pyramid To The Nearest Hundredth.
Answer 2

Step-by-step explanation:

the surface area is the sum of the base area (pentagon) and the 5 side triangles (we only need to calculate one and then multiply by 5, as they are all equal).

these side triangles are isoceles triangles (the legs are equally long).

the usual area formula for a pentagon is

1/2 × perimeter × apothem

the apothem is the minimum distance from the center of the pentagon to each of its sides.

in our case this is 7.2 mm.

how to get the perimeter or the length of an individual side of the pentagon ?

if the apothem of a pentagon is given, the side length can be calculated with the formula

side length = 2 × apothem length × tan(180/n)

where 'n' is the number of sides (5 in our case). After getting the side length, the perimeter of the pentagon can be calculated with the formula

perimeter = 5 × side length.

so, in our case

side length = 2 × 7.2 × tan(180/5) = 14.4 × tan(36) =

= 10.4622124... mm

perimeter = 5 × 10.4622124... = 52.31106202... mm

area of the pentagon = 1/2 × perimeter × apothem =

= 1/2 × 52.31106202... × 7.2 = 188.3198233... mm²

now for the side triangles.

the area of such a triangle is

1/2 × baseline × height

baseline = pentagon side length

height we get via Pythagoras from the inner pyramid height and the apothem :

height² = 7.2² + 15.4² = 51.84 + 273.16 = 289

height = 17 mm

area of one side triangle =

1/2 × 10.4622124... × 17 = 88.92880543... mm²

all 5 side triangles are then

444.6440271... mm²

and the total surface area is then

444.6440271... + 188.3198233... = 632.9638504... mm²

≈ 632.96 mm²


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The solution to the given system of equations is a = 6, b = 4.

The system of equations is given as follows:

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Answers

The drop down menu is used to match each situation as below.

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The given statement "If data set A has a larger standard deviation than data set B, data set A is more spread out than data set B" is true.

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Answers

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Answers

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To find the fourth term, we look for the fourth term from the left side to right side, which is  -20x³.

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Answers

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Answers

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We get two possible values of width: W = 5 or W = 4

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The new surface area of the hemisphere-shaped mole would be = 102mm².

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To calculate the new surface area of the hemisphere-shaped moles the following is carried out;

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The three equivalent numerical expressions are  1/32, 0.03125, 3.125 x 10^-2

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Using the exponential rules, we can simplify the expressions as:

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In the figure below, the segments HI and HJ are tangent to the circle centered at O. Given that OI = 3.9 and OH= 6.5, find HJ.
H
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O
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X

Answers

Based on the figure, we can see that triangles OHJ and OIX are similar because they share the same angle at O and HI and HJ are tangent to the circle. Thus, we can set up the following proportion:

OH / OI = HJ / (HJ + 9)

Substituting the given values:

6.5 / 3.9 = HJ / (HJ + 9)

Cross-multiplying:

6.5(HJ + 9) = 3.9HJ

Distributing:

6.5HJ + 58.5 = 3.9HJ

Simplifying:

2.6HJ = -58.5

HJ = -22.5

However, this answer doesn't make sense in the context of the problem. Since HJ represents a length, it cannot be negative. Therefore, we need to re-examine our work.

Looking back at our proportion, we can see that the ratio of OH to OI is greater than 1, which implies that HJ is greater than 9. This makes sense since HJ is a chord of the circle and thus must be longer than the radius.

Let's try the problem again, but this time we'll rearrange the proportion to solve for HJ:

HJ / (HJ + 9) = OI / OH

Substituting the given values:

HJ / (HJ + 9) = 3.9 / 6.5

Cross-multiplying:

6.5HJ = 3.9HJ + 35.1

Simplifying:

2.6HJ = 35.1

HJ = 13.5

Therefore, HJ is equal to 13.5.

Find (fog)(2).
f(x) = 3x + 2
g(x) = x²
(fog)(2)=

Answers

Answer:

(f·g)(2) = 14

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

Find the composition of the functions f(x) and g(x), which is written as f(g(x)).

Given functions:

f(x) = 3x + 2,g(x) = x² .

Find f(g(x)):

f(g(x)) = f(x²) = 3(x²) + 2

Evaluate f(g(2)):

f(g(2)) = 3(2²) + 2 = 3(4) + 2 = 12 + 2 = 14

So, (f·g)(2) = 14.

A cube has volume 3375 cubic inches. Determine the area of one face of the cube.​

Answers

The area of one face of the cube that has a volume of 3375 cubic inches is: 225 square inches.

What is the Volume of a Cube?

A cube has equal edge length, and therefore has faces with the same area. The formula for finding the volume of a cube is given as:

Volume of cube = s³, where s is the side length of the cube.

Also, to find the area of one face of a cube, we would use the formula below:

Area of one face of a cube = s².

Given the following:

Volume of a cube = 3375 cubic inches

Find s as shown below:

s = ∛3375

s = 15 inches.

Therefore, we have:

Area of one face of a cube = 15² = 225 square inches.

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Answers

Answer:  C

Step-by-step explanation:

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A.  is wrong. Symmetry is where you can fold it and it would be the same.  If i folded y=[tex]x^{3}[/tex] along the y- axis it would not be the same.  

B is wrong. Transformations are where has it moved, which has nothing to do with odd functions in general

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D. is wrong.  If folded y=x it's in the same quadrant but it's not the same, its' reversed.

Danielle deposited $300.00 into a new savings account that earns interest compounded continuously. After 8 years, the balance in the account
was $907.00. What was the interest rate on the account?
O 13.8%
O 12.5%
O 14.5%
O 10.1%

Answers

To find the interest rate on the account, we can use the formula for continuous compounding: A = P * e^(rt), where A is the final amount, P is the initial deposit, r is the interest rate, t is the time in years, and e is the base of the natural logarithm (approximately 2.718).

In this case, A = $907, P = $300, and t = 8 years. We need to find r.

907 = 300 * e^(8r)

Now, we'll solve for r:

(907/300) = e^(8r)

3.0233 = e^(8r)

To isolate r, take the natural logarithm of both sides:

ln(3.0233) = 8r

Now, divide by 8:

(ln(3.0233))/8 = r

r ≈ 0.125

To express the interest rate as a percentage, multiply by 100:

0.125 * 100 = 12.5%

So, the interest rate on the account is approximately 12.5%.

URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS

Answers

because it only goes through 1 point

Answer:

The second scatterplot does not suggest a linear relationship between x and y.

i need help with this, please anyone I am so scared of failing. Please explain throughly,

thank you so much.

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Check the picture below.

[tex]\stackrel{ \textit{\LARGE Areas} }{\stackrel{ triangle }{\cfrac{1}{2}(26)(17)}~~ + ~~\stackrel{ rectangle }{(26)(9)}}\implies 221+234\implies \text{\LARGE 455}[/tex]

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Answers

Answer: A,E or F.

Step-by-step explanation: That's the only ones that have X's and then x is 0

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Answers

The option which is not personally liable for any losses or damages is Shareholders in a public corporation, the correct answer is A.

We are given that;

Four options of damages

Now,

Shareholders in a public corporation are not personally liable for any losses or damages caused by the corporation, because they have limited liability. This means that they can only lose the amount they invested in the corporation, and their personal assets are protected from creditors or lawsuits12.

Owner of a sole proprietorship, shareholders in a private corporation, and partners in a partnership are all personally liable for any losses or damages caused by their business activities, unless they have some form of liability insurance or protection12. This means that they can be sued for their personal assets if the business cannot pay its debts or obligations.

Therefore, by unitary method the answer will be Shareholders in a public corporation

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The zeroth law of thermodynamics states that ___. a. energy is always conserved in a closed system b. heat flows from hot to cold c. two systems in thermal equilibrium with a third system are in thermal equilibrium with each other d. entropy always increases Cytosine and guanine form {{c1::3}} hydrogen bonds Which game did you complete and what were your results did you utilize any of the other eval resources to help you study if yes describe which tells you utilized in your experience if no discuss how using these or other learning tools would help you Using a script (code) file, write the following functions:Write the definition of a function that take one number, that represents a temperature in Fahrenheit and prints the equivalent temperature in degrees Celsius.Write the definition of another function that takes one number, that represents speed in miles/hour and prints the equivalent speed in meters/second.Write the definition of a function named main. It takes no input, hence empty parenthesis, and does the following:- prints Enter 1 to convert Fahrenheit temperature to Celsius- prints on the next line, Enter 2 to convert speed from miles per hour to meters per second.-take the input, lets call this main input, and if it is 1, get one input then call the function of step 1 and pass it the input.- if main input is 2, get one more input and call the function of step 2.- if main input is neither 1 or 2, print an error message.After you complete the definition of the function main, write a statement to call main. A semiconductor manufacturer produces controllers used in automobile engine applications. The customer required that the process fallout or fraction defective at a critical manufacturing step not exceed 0.05 and that the manufacturer demonstrate process capacity at this level of quality using = 0.05. The semiconductor manufacturer takes a random sample of 200 devices and finds that four of them are defective. Can tha manufaturer demonstrate process capability for the customer? solve (2x - 3) (x + 2) = 0 Prior restraint isa. used by Congress to hold secret committee meetingsb. a method used by the government to get terrorists to talkc. another term for censorship, when expression is involvedd. restraining an activity, such as expression, before that activity has actually occurrede. Options C and D are true Suppose the number of business majors at liberal arts colleges are normally distributed and have a known population standard deviation of 21 students and an unknown population mean. A random sample of 35 liberal arts colleges is taken and gives a sample mean of 420 business majors. Find the margin of errorfor the confidence interval for the population mean with a 90% confidence level. Round the final answer to two decimal places.z0.10z0.10 z0.05z0.05 z0.025 z 0.025 z0.01z0.01 z0.005 z 0.005 1.282 1.645 1.960 2.326 2.576you may use a calculator or the common z values above. round the final answer to two decimal places. provide your answer below: