PLEASE HELP ASAP!!
Find the surface area of the regular pyramid shown in the accompanying diagram. If necessary, express your answer in simplest radical form.


A. 146.85 units²

B. 45+9√3 units²

C. 36+9√3 units²

D. 36+3√3 units²

PLEASE HELP ASAP!!Find The Surface Area Of The Regular Pyramid Shown In The Accompanying Diagram. If

Answers

Answer 1

The total surface area of the pyramid is 52 square units

The formula for calculating the area of the triangular based pyramid is expressed as;

[tex]TSA=Base \ Area+\frac{1}{2}ps[/tex] where;

p is the perimeter of the base

s is the slant height

Get the Base area

[tex]Base \ Area = \frac{1}{2}bh\\Base \ Area = \frac{1}{2}*6*\sqrt{5^2-3^2} \\ Base \ Area = \frac{1}{2}*6*\sqrt{25-9} \\ Base \ Area = \frac{1}{2}*6*\sqrt{16} \\ Base \ Area = \frac{1}{2}*6*4 \\ Base \ Area = \frac{24}{2} \\Base \ Area = 12 units^2[/tex]

Get the perimeter

Perimeter = 5 + 5 + 6

Perimeter = 16 units

Slant height = 5units

Substitute the given values into the formula above as shown;

[tex]TSA=12+\frac{1}{2}*16*5\\TSA=12+(8*5)\\\\TSA = 12 + 40\\TSA = 52 units ^2[/tex]

Hence the total surface area of the pyramid is 52 square units

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Answer 2

Answer:

52squnits

Step-by-step explanation:


Related Questions

NEED HELP!

Create a table of points from the equation f (x)= 3x^2 -8x + 2

Answers

Answer:

The second table

Step-by-step explanation:

To create table of points using the function, [tex] f(x) = 3x^2 - 8x + 2 [/tex], substitute the value of x in each case.

Thus,

For x = -1,

[tex] f(-1) = 3(-1)^2 - 8(-1) + 2 = 3(1) + 8 + 2 = 3 + 8 + 2 [/tex]

[tex] f(-1) = 13 [/tex]

For x = 0

[tex] f(0) = 3(0)^2 - 8(0) + 2 = 3(0) - 0 + 2 = 0 - 0 + 2 [/tex]

[tex] f(0) = 2 [/tex]

For x = 1,

[tex] f(1) = 3(1)^2 - 8(1) + 2 = 3(1) - 8 + 2 = 3 - 8 + 2 [/tex]

[tex] f(1) = -3 [/tex]

For x = 2,

[tex] f(2) = 3(2)^2 - 8(2) + 2 = 3(4) - 16 + 2 = 12 - 16 + 2 [/tex]

[tex] f(2) = -2 [/tex]

For x = 3,

[tex] f(3) = 3(3)^2 - 8(3) + 2 = 3(9) - 24 + 2 = 27 - 24 + 2 [/tex]

[tex] f(3) = 5 [/tex]

The second table is the correct answer.

Correct answer gets brainliest and 5 stars

Answers

Answer:

16 ft

Step-by-step explanation:

Slant Height=sqrt(Radius^2+Height^2)

Height=sqrt(20^2-12^2)=sqrt(256)=16 ft

Create a triangle of your choice on the grid. Measure the lengths of all the sides on the triangle and record them in the table.

Answers

Step-by-step explanation:

The program I used tells me the lengths, though I could use the law of cosines or Pythagoras's Therom for this.

AB: 2

BC: 3

AC: About 3.61

Also, point A is (-2, 4), point B is (-2, 2), and point C is (1, 2)

Hope this helps!

please help me with that

Answers

Answer:

[tex]\frac{16}{81}[/tex]

Step-by-step explanation:

[tex](\frac{27}{8} )^{-\frac{4}{3} }[/tex]

[tex]=((\frac{3}{2} )^3)^{-4/3}[/tex]

[tex]=(\frac{3}{2} )^{-4}[/tex]

[tex]=(\frac{2}{3} )^{4}[/tex]

[tex]=\frac{16}{81}[/tex]

Answer:

16/81

Step-by-step explanation:

a negative exponent means 1/...

the number in the numerator means "to the power of".

the number in the denominator means take the root of that power.

so, we have to take the third root of the expression, or this then to the power of 4, and finally build 1/... if the whole result.

and the sequence is not making a difference.

the third root of of 27/8 = 3/2

this to the power of 4 = 81/16

this 1/... = 16/81

Multi-Step Literal Equations
Solve the following equation for a. Be sure to take into account whether a letter is capitalized or not.

g= b(a+[tex]D^{2}[/tex])

Answers

[tex]\\ \sf\longmapsto g=b(a+D^2)[/tex]

[tex]\\ \sf\longmapsto g=ba+bD^2[/tex]

[tex]\\ \sf\longmapsto g-bD^2=ba[/tex]

[tex]\\ \sf\longmapsto a=\dfrac{g-bD^2}{b}[/tex]

or

[tex]\\ \sf\longmapsto a=\dfrac{g}{b}-D^2[/tex]

Item 4
Ellie has 20 books on her shelf. Four of these books are nonfiction, and the rest are fiction.

What is the ratio of fiction books to nonfiction books on the shelf?


5:4

5:1

4:1

I don't know.

Answers

Answer:4:1 just taking to test as soon as you

Step-by-step explanation:

The ratio of fiction books to nonfiction books on the shelf is,  4

What is the ratio?

A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.

Given that,

Ellie has 20 books on her shelf

Four of these books are nonfiction

The rest are fiction

The ratio of fiction books to nonfiction books on the shelf = ?

The number of fiction books = ?

The number of fiction books = 20 - 4

                                                 = 16

Ratio =    fiction/nonfiction

         =      16/4

          =    4

Hence, the ratio is 4

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PLS SIMPLIFY b3·b^−5·b^11
A) b^9
B) b^15
C) b^19
D) b^-165

Answers

Answer:

a) b⁹

Step-by-step explanation:

b³ • b⁻⁵ • b¹¹

add the exponents

b³ ⁺ ⁽⁻⁵⁾ ⁺ ¹¹

b⁹

Answer:

b^9

Step-by-step explanation:

b^3·b^−5·b^11

Since the bases are the same, and we are multiplying, we can add the exponents

b^(3+-5+11)

b^9

PLEASE HELP ME I WILL MARK BRAINLIEST!​

Answers

compute the range of the figures into the table

i give you 5 stars please help

Answers

Answer:

C....................

Answer:

(C) [tex]x=4[/tex]

Step-by-step explanation:

A line will be parallel to the y-axis if It’s x never changes.

In A, x is always being -y, so that’s going to change all the time.

In B, x is always becoming y, so that is changing too.

In C, x is always being 4, so this never changes.

In D, x is always 4 times y, so this changes.

Hope this helped!

what are the prime numbers ​

Answers

Answer:

numbers that cannot be reduced when squared, ex: 1,3,5,

Step-by-step explanation:

These numbers factors are themselves and 1, to find if it is a prime number you can try to find the factors and if it is just itself and 1, then it is a prime number

Correct answer gets brainliest and 5 stars

Answers

Answer:

Does the answer help you?

can someone please help me

Answers

Answer:

y=3

Step-by-step explanation:

7y-(5y+4)=10

7y-5y+4=10

         -4    -4

7y-5y=6

2y=6

÷2   ÷2

y=3

Which of the following options have the same value as 75\%75%75, percent of 969696?

Answers

Answer:

90

Step-by-step explanation:

Which statement about the transformation is true?
Consider the transformation.

It is isometric because the side lengths remained the
same.
It is isometric because all angle measures remained the
same.
It is not isometric because the side lengths did not remain
the same.
It is not isometric because the angle measures did not
remain the same.​

Answers

The image of the transformation is missing so i have attached it;

Answer:

Option C - The transformation is not isometric because the lengths did not remain the same.

Step-by-step explanation:

Transformation means that it preserves the length of  the original figure which means that it is a distance preserving transformation.

Now, from the image of the question attached, the two figures can be said to be isometric if they are congruent.

Now, for the figure displaying the transformation we can see that the size of the original figure has changed.

We can see that the figure is dilated by a scale factor of 2 as each of the sides of the polygon which is a trapezoid is increased by a factor of 2.

Due to the fact that the lengths of sides of the original figure and transformed figure are are not same, we can say that the lengths are not preserved.

Thus, the transformation is not isometric because the lengths did not remain the same.

Answer:

C : It is not isometric because the side lengths did not remain the same.

Credits go to the person above me.

;)

Step-by-step explanation:

EDGE 2021

1) Complete the table
2) find the mean of the random variable x. Use the formula in the photo

Answers

Answer:

a. Please check the explanation for filling of the empty column on the table

b. The mean of the random variable x is 7/11

Step-by-step explanation:

a. Firstly, we are concerned with completing the table.

To do this, we simply need to multiply the values in the column of x by the values in the column of p(x)

Thus, we have the following;

2. 3 * 2/36 = 6/36

3. 4 * 3/36 = 12/36

4. 5 * 4/36 = 20/36

5. 6 * 5/36 = 30/36

6. 7 * 6/36 = 42/36

7. 8 * 5/36 = 40/36

8. 9 * 4/36 = 36/36

9. 10 * 3/36 = 30/36

10. 11 * 2/36 = 22/36

11. 12 * 1/36 = 12/36

b. We want to find the mean of the random variable x.

All what we need to do here is add all the values of x•P(x) together, then divide by 11.

Thus, we have

(2/36 + 6/36 + 12/36 + 20/36 + 30/36 + 42/36 + 40/36 + 36/36 + 30/36 + 22/36 + 12/36)/11

Since the denominator is same for all, we simply add all the numerators together;

(252/36) * 11 = 252/396 = 63/99 = 7/11

Ten people were chosen at random and surveyed. The survey asked participants for the number of hours they sleep per night and the amount of their annual income. Letting X represent the number of hours the participant sleeps per night and Y represent the participant's annual income, the surveyor calculated the correlation coefficient between X and Y to be 0.29. Interpret the correlation coefficient calculated by choosing the statement below which correctly describes the correlation between X and Y. A. weak negative correlation B. strong negative correlation C. strong positive correlation D. weak positive correlation

Answers

Answer:

A. R=0.86; strong correlation

Step-by-step explanation:

The correlation coefficient of 0.29 indicates that the correlation is a weak positive correlation. Thus option (D) is the correct answer.

What is correlation?

"Correlation is a statistical tool that studies the relationship between two variables. Data sets have a positive correlation when they increase together, and a negative correlation when one set increases as the other decreases".

For the given situation,

Correlation coefficient = 0.29

Positive correlation: the two variables change in the same direction.

Negative correlation: the two variables change in opposite directions.

No correlation: there is no association or relevant relationship between the two variables.

The correlation coefficient lies between 0 to 0.3 indicating that the correlation is a weak positive correlation.

Hence we can conclude that option (D) weak positive correlation is the correct answer.

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Find the standarddeviation of 125, 136, 150, 119, 150, and 143.

Answers

Answer:

S.D=46.04

Step-by-step explanation:

steps are in the picture.

If you have question about it you can ask.Thanks

[tex]x^{2} +5x+3[/tex]+2x^{2}+10x-15=0

Answers

x²+5x+3+2x²+10x15 =0x²+2x²+5x+10x+3+15=03x²+15x+18=03(x²+5x+6) =0 because 3 is common factor3(x²+3x+2x+6) spill the middle term3(x(x+3)+2(x+3) take the common factor from term3(x+2) (x+3)

answer is 3(x+2) (x+3)

please mark this answer as brainlist

The number of boxes of cookies you buy or the amount the cookies will cost in dollars which one is independent vairable

Answers

Answer:

Step-by-step explanation:

When you go shopping for anything, you know that the more of that something you buy, the more money you are going to spend. In other words, the amount of money you spend depends directly upon the amount of stuff you buy. So the number of boxes of cookies you buy is the independent variable and the amount of money you spend on the cookies is the dependent variable.

photo of freedom fighter quotes on white sheet.



pls send me fast​

Answers

Answer:

Freedom is any case,

is only possible

by constantly

struggling for it.

Albert Einstein

am thinking of a number multiplying it by 4 then subtracting 6 the answer is greater than 14. Write the inequality

Answers

Answer:

4x - 6 > 14

Step-by-step explanation:

4x - 6 > 14

4x = 20

x = 5

The graph below shows the survey results for a group of students who were asked how many honors classes they have taken and how many elective classes: How many elective classes would a student likely have taken if he or she has taken 12 honors classes? 15, because y = one halfx + 9 12, because y = y = negative one halfx + 9 6, because y = one halfx + 9 3, because y = negative one halfx + 9

Answers

Answer:

3, because [tex]y=-\frac{1}{2}x+9[/tex].

Step-by-step explanation:

Looking at this graph, we can start to determine the equation for it.

The y-intercept of this graph is 9, therefore there will be a constant of 9.

We can find the slope by looking at rise over run. It vertically travels -1 for every 2 horizontally. So the slope is [tex]-\frac{1}{2}[/tex].

Making this into an equation gets us  [tex]y=-\frac{1}{2}x+9[/tex].

Now we can substitute 12 into this equation as x.

[tex]y=-\frac{1}{2}(12)+9\\ y=-6+9\\y=3[/tex]

Hope this helped!

Answer:

the other person is correct! C:

Step-by-step explanation:

A Food Marketing Institute found that 35% of households spend more than $125 a week on groceries. Assume the population proportion is 0.35 and a simple random sample of 75 households is selected from the population. What is the probability that the sample proportion of households spending more than $125 a week is between 0.36 and 0.42

Answers

Answer:

The probability that the sample proportion of households spending more than $125 a week is between 0.36 and 0.42 is 0.3115

Step-by-step explanation:

From the question, we can deduce the following;

n = 75

p = 0.35

where q = 1-p = 1-0.35 = 0.65

To compute the probability that the sample proportion of households spending more than $125 a week is between 0.36 and 0.42, we start by calculating the standard deviation of sample proportion.

Mathematically;

Standard deviation of sample proportion = √pq/n

SD = √(0.35)(0.65)/75 = 0.055 which is approximately 0.06

Let’s now compute the z-scores

For 0.36, we have ; (0.36-0.35)/0.06 = 0.01/0.06 = 0.17

For 0.42, we have; (0.42-0.35)/0.06 = 0.07/0.06 = 1.17

So the probability we want to calculate is :

P(0.17<z<1.17) = P(z<1.17) - P(z < 0.17) = 0.8790 - 0.5675 = 0.3115

A city has a property tax rate of 70 mills and an assessment level of 40%.
What is the effective property tax rate? Round your answer to the nearest
tenth of a percent.

Answers

Mill rate is a tax rate—the amount of tax payable per dollar of the assessed value of a property. Mill is derived from the Latin word millesimum, meaning thousandth. As used in property tax, 1 mill is equal to $1 in property tax levied per $1,000 of a property's assessed value.

Legolas shoots 3 arrows at once from his bow. He has 177 arrows. How many times can Legolas shoot his bow before he needs more arrows?

Answers

Answer:

59

Step-by-step explanation:

3x=177

3x represents the # of arrow he can shoot at once every time

177 represents the total # of arrow he has

Answer:

59

Step-by-step explanation:

177/3=59

How many positive even factors of 48 are greater than 24 and less than 48

Answers

Answer: 0

Work Shown:

Factors of 48 = {1, 2, 3, 4, 6, 8, 12, 16, 24, 48}

Erase the odd numbers of that list to get {2, 4, 6, 8, 12, 16, 24, 48}

Then highlight stuff that is greater than 24, and less than 48 at the same time.

No factors fit this description since 24 cannot be larger than itself, and 48 cannot be smaller than itself.

Answer: 0

Step-by-step explanation:

There is no number greater than 24 and less than 48.

I suck at math so please help :)

Answers

Answer:

the answer to this question is

B. 1/2

hope this helps u

37/50 of a number is what percentage of that number?

Answers

Answer:

74% percentage of 37/50

Answer:

74%

Step-by-step explanation:

37/50 * 100 = 74%

When you want to obtain percentages, in most of the cases you multiply by 100.

Complete the square to transform the expression x2 - 2x - 2 into the form a(x - h)2 + k

Answers

Answer:

A

Step-by-step explanation:

Find the vertex form of the quadratic function below.

y = x^2 - 4x + 3

This quadratic equation is in the form y = a{x^2} + bx + cy=ax  

2

+bx+c. However, I need to rewrite it using some algebraic steps in order to make it look like this…

y = a(x - h)^2 + k

This is the vertex form of the quadratic function where \left( {h,k} \right)(h,k) is the vertex or the “center” of the quadratic function or the parabola.

Before I start, I realize that a = 1a=1. Therefore, I can immediately apply the “completing the square” steps.

STEP 1: Identify the coefficient of the linear term of the quadratic function. That is the number attached to the xx-term.

STEP 2: I will take that number, divide it by 22 and square it (or raise to the power 22).

STEP 3: The output in step #2 will be added and subtracted on the same side of the equation to keep it balanced.

Think About It: If I add 44 on the right side of the equation, then I am technically changing the original meaning of the equation. So to keep it unchanged, I must subtract the same value that I added on the same side of the equation.

STEP 4: Now, express the trinomial inside the parenthesis as a square of a binomial, and simplify the outside constants.

After simplifying, it is now in the vertex form y = a{\left( {x - h} \right)^2} + ky=a(x−h)  

2

+k where the vertex \left( {h,k} \right)(h,k) is \left( {2, - 1} \right)(2,−1).

Visually, the graph of this quadratic function is a parabola with a minimum at the point \left( {2, - 1} \right)(2,−1). Since the value of “aa” is positive, a = 1a=1, then the parabola opens in upward direction.

Example 2: Find the vertex form of the quadratic function below.

The approach to this problem is slightly different because the value of “aa” does not equal to 11, a \ne 1a  

​  

=1. The first step is to factor out the coefficient 22 between the terms with xx-variables only.

STEP 1: Factor out 22 only to the terms with variable xx.

STEP 2: Identify the coefficient of the xx-term or linear term.

STEP 3: Take that number, divide it by 22, and square.

STEP 4: Now, I will take the output {9 \over 4}  

4

9

​  

 and add it inside the parenthesis.

By adding {9 \over 4}  

4

9

​  

 inside the parenthesis, I am actually adding 2\left( {{9 \over 4}} \right) = {9 \over 2}2(  

4

9

​  

)=  

2

9

​  

 to the entire equation.

Why multiply by 22 to get the “true” value added to the entire equation? Remember, I factored out 22 in the beginning. So for us to find the real value added to the entire equation, we need to multiply the number added inside the parenthesis by the number that was factored out.

STEP 5: Since I added {9 \over 2}  

2

9

​  

 to the equation, then I should subtract the entire equation by {9 \over 2}  

2

9

​  

 also to compensate for it.

STEP 6: Finally, express the trinomial inside the parenthesis as the square of binomial and then simplify the outside constants. Be careful combining the fractions.

It is now in the vertex form y = a{\left( {x - h} \right)^2} + ky=a(x−h)  

2

+k where the vertex \left( {h,k} \right)(h,k) is \left( {{{ - \,3} \over 2},{{ - 11} \over 2}} \right)(  

2

−3

​  

,  

2

−11

​  

).

Example 3: Find the vertex form of the quadratic function below.

Solution:

Factor out - \,3−3 among the xx-terms.

The coefficient of the linear term inside the parenthesis is - \,1−1. Divide it by 22 and square it. Add that value inside the parenthesis. Now, figure out how to make the original equation the same. Since we added {1 \over 4}  

4

1

​  

 inside the parenthesis and we factored out - \,3−3 in the beginning, that means - \,3\left( {{1 \over 4}} \right) = {{ - \,3} \over 4}−3(  

4

1

​  

)=  

4

−3

​  

 is the value that we subtracted from the entire equation. To compensate, we must add {3 \over 4}  

4

3

​  

 outside the parenthesis.

Therefore, the vertex \left( {h,k} \right)(h,k) is \left( {{1 \over 2},{{11} \over 4}} \right)(  

2

1

​  

,  

4

11

​  

).

Example 4: Find the vertex form of the quadratic function below.

y = 5x^2 + 15x - 5  

Solution:

Factor out 55 among the xx-terms. Identify the coefficient of the linear term inside the parenthesis which is 33. Divide it by 22 and square to get {9 \over 4}  

4

9

​  

.

Add {9 \over 4}  

4

9

​  

 inside the parenthesis. Since we factored out 55 in the first step, that means 5\left( {{9 \over 4}} \right) = {{45} \over 4}5(  

4

9

​  

)=  

4

45

​  

 is the number that we need to subtract to keep the equation unchanged.

Express the trinomial as a square of binomial, and combine the constants to get the final answer.

Therefore, the vertex \left( {h,k} \right)(h,k) is {{ - \,3} \over 2},{{ - \,65} \over 4}  

2

−3

​  

,  

4

−65

​  

.

Answer:

(x - 1 )^2 - 3

Step-by-step explanation:

( x - 1 )^2 + ( -3)

x^2 - 2x + 1 - 3

x^2 - 2x - 2

b) The area of 4-walls and ceiling of a room is 118 m². If the room is 6 m long and 4 m high, find the breadth of the room.​

Answers

Step-by-step explanation:

you can check the answer by putting 5 on the place of B... you will get the lateral surface area

118 ...

hope it helps

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Lusine saw birds and mice eating seeds on the ground. She calculated 12 heads and 39 legs in total. 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Assuming that the block size is 32-byte and the address is 32-bit, find the number of bits needed for tag, index, and byte select fields of the address. In January 2008, the temperature in parts of Minnesota fell from 48 F degrees to -12 F degrees over a 24 hour period. What was the average temperature change per hour? The length of the shadow of a pole on level ground increases by 90m when the angle of elevation of the sun changes from 58 to 36.Calcule the height of the pole A model rocket is launched with an initial upward velocity of 30 m/s. The rockets height (in meters) after t seconds is given by the following. h=30t-5t2. Find all values of t for which the rockets height is 10 meters Sweet Leaf Tea,a Texas-based maker of bottled iced tea,is a small but fast-growing firm that has gained a loyal following for its use of fresh,organic ingredients in its beverages.Although beverage industry experts recommended that Sweet Leaf replace the organic cane sugar and honey it uses with less costly high-fructose corn syrup,Sweet Leaf refused because of the company's mission to provide a high-quality,organic beverage to consumers.The 11-year-old company has 50 employees,and its products are available in 30% of the U.S.market.Sweet Leaf Tea recently received multimillion dollar investments which will enable the business to expand its national presence. Which of the following,if true,would most likely undermine the argument that Sweet Leaf Tea should implement a corporate-level strategy of vertical integration?A) Sweet Leaf Tea lacks the facilities or knowledge to produce the raw ingredients for its beverages.B) Market research suggests that Sweet Leaf Tea customers primarily purchase only one flavor of tea.C) Most loyal customers of Sweet Leaf Tea purchase the beverage at neighborhood convenience stores.D) Sweet Leaf Tea has decided to lower its prices by replacing cane sugar with corn syrup in some of its beverages. Give any two features of Socialism. Why were socialists against private property and saw it as the root of all social evils? Michael is using a number line to evaluate the expression 8 3. A number line going from negative 12 to positive 12. A point is at negative 8. After locating 8 on the number line, which step could Michael complete to evaluate the expression? You are an investor who wants to form a portfolio that lies to the right of the "optimal" minimum standard deviation portfolio on the efficient frontier. You must: 0 / 1 puntos Invest only in risky securities. Borrow money at the risk-free rate, invest in the minimum standard deviation portfolio and, in addition, only in risky securities. Borrow money at the risk-free rate and invest everything in the minimum standard deviation portfolio. Invest only in risk-free securities. What type of polynomial is: -2/3 b^3