Given: Regular pyramid DO = 6, m ADO : 42°, AO Perpendicular (FBCD) Find: V and Surface Area Of ABCDF

Given: Regular Pyramid DO = 6, M ADO : 42, AO Perpendicular (FBCD) Find: V And Surface Area Of ABCDF

Answers

Answer 1

Answer:

Assumed the base is a square

Find the height:

h / DO = tan 42°h = 6 tan 42° ≈ 5.4 units

Find the side of base:

a = 2DO/√2 = √2DO = 6√2 ≈ 8.5 units

Find volume:

V = a²h/3 = 8.5²(5.4)/3 ≈ 130.1 units³

Find the surface area:

S = a² + 4*1/2*a[tex]\sqrt{(a/2)^2+h^2}[/tex] = 8.5² +  2*8.5 [tex]\sqrt{(8.5/2)^2+5.4^2}[/tex] ≈ 189.7 units²

Answer 2

Answer:

the height of pyramid

tan 42°=h/ DO

h=6 tan 42° = 5.4 units

the side of base a = 2DO/√2 = √2DO = 6√2 = 8.5 units

volume= V = a?h/3 = 8.52(5.4)/3 = 130.1 units

surface area{S }= a + 4×1/2×a/(a/2)² + h² =

8.5²+ 2*8.5 √((8.5/2)² + 5.4²)= 189.7 unit²


Related Questions

If a/2 = b/3, then b/a = ?

A. 3/2

B. 2/3

Answers

It would be A because b+a

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Answers

Answer:

I think its C I know for sure its not A or D

Step-by-step explanation:

Answer:

I need 1 Brainliest before I can become Virtuoso

Step-by-step explanation:

Answer choices:
AB
EF
KL
RS
PLEASEE HELP MEE FASTT

Answers

Answer:

RS

Step-by-step explanation:

Is -16 rational or irrational

Answers

I think that maybe 16 is rational

Answer:

irrational number

Step-by-step explanation:

All numbers that are not rational are considered irrational. An irrational number can be written as a decimal, but not as a fraction. An irrational number has endless non-repeating digits to the right of the decimal point. The number 22/7 is a irrational number.

24 = 3 (b+1) plz help

Answers

Answer:

b= 7

Step-by-step explanation:

24= 3b + 3

24-3 = 3b

21= 3b

21/3 = b

7 = b

The perimeter of a rectangle is 72 m. The width of the rectangle is 16 m. What is the area of the rectangle?

Answers

Answer:

320m

Step-by-step explanation

a rectangle has four sides, two pairs of identical sides. So two sides are 16. So that adds up to 32. Perimeter is all sides added together. so it has to add up to 72. 72 minus 32 is 40, so two of the sides have to be 40. Area is length times width, so 16 times 20, which is 320.

please help me!!!!!!!!

Answers

Answer:

DE=36/9=4............

174 + 10x = 102 + 10x - 6x

Answers

Step-by-step explanation:

174 + 10x = 102 + 10x - 6x

174 - 102 = 10x - 6x -10x

72 = - 6x

- x = 72/6

- x = 12

x = -12

please help i am so confused

Answers

Answer:

[tex]q\geq -81[/tex]

Step-by-step explanation:

First, begin by multiplying [tex]\frac{q}{27} \\[/tex] by its reciprocal.

To do this, flip the fraction upside-down.

The resulting equation looks like this: [tex]\frac{27}{1} *\frac{q}{27}[/tex]

Cancel out the two 27's and you are left with [tex]\frac{q}{1}[/tex] , which you can simplify to q.

Next, multiply -3 by [tex]\frac{27}{1}[/tex] . Remember, what you do on one side, you must do on the other.

Your equation should look like this:

[tex]q\geq -81[/tex]

The final answer is [tex]q\geq -81[/tex] .

Have a nice day!

Explain how to solve 2x + 1 = 9 using the change of base formula log base b of y equals log y over log b. Include the solution for x in your answer. Round your answer to the nearest thousandth.

Answers

Answer:

2x 2 x 2 x 2= 8 + 1 = 9?

Step-by-step explanation:

The solution of the equation 2x + 1 = 9 will be 4.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

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 equation is given below.

2x + 1 = 9

Simplify the equation, then we have

2x + 1 = 1

2x = 9 - 1

2x = 8

x = 8 / 2

x = 4

The solution of the equation 2x + 1 = 9 will be 4.

More about the solution of the equation link is given below.

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I need help like really bad.!

Answers

Answer:

C

Step-by-step explanation:

A's equation would be 60+6

B's equation would be 60-6

C's equation would be 60/6

Answer:

c

Step-by-step explanation:

the first one would be 60+6, and the second would be 60-6.

please help The perimeter of a rectangular shape electronic keyboard is 14 ft. Its width is 3 ft longer than its depth
!. How wide and deep is the keyboard

2. what is the area of the keyboard

Answers

Answer:

Width = 6ft Area = 54 sq ft

Step-by-step explanation:

First, re-read the problem until you understand it and can put it into your own words.  I re-wrote it like this:  "Find the area of a rectangle by first finding the length (L) and the width (W)."   [note that I added "find L and W," but that is how I'm going to solve the problem;  I could also have said that we will need the formulas, P=2L+2W and A=LW, but you knew that already, right?).

 

Translate the problem:

 "The length of a rectangle is 3 ft longer than its width"      means

         L                             =    3             +         W                 (eq1)

 "the perimeter of the rectangle is 30 ft"     means

            P                                = 30                      (eq2)

 

So, now the math is easy, just find L and W so we can compute the area:

     P = 30 = 2L + 2W                         (eq3; from eq2 and the formula for P)

          30 = 2(3+W)  +  2W              (use eq1 to substitute for L)

          30 = 6 + 2W   + 2W              (distribute)

           30 = 6 + 4W                       (collect terms)

            24 = 4W                        (subtract 6 from both sides)

            6 ft = W                         (divide both sides by 4)

 

Use the easiest equation (either eq1 or else eq3) to find L:

          L = 3 + W        (eq1)

          L = 3 + 6

          L = 9 ft

What is the area (A)?

          A = L*W

          A = (9 ft)*(6 ft)

          A = 54 sq ft

Find the perimeter of the figure.

Answers

Step-by-step explanation:

12 times 4 + 12 + 48

Answer:

Not sure but giving it a try.

the perimeter of a circle is its circumference. C=2pir

2×3.142×6=38cm

the perimeter of one triangle is 13cm+5cm+12cm. how did i get 5?

22-12=10,

10÷2=5.

13cm+5cm+12cm= 30.

count that as two, 30+30=60.

perimeter of square= length × 4 = 12×4 = 48

Total : 38cm+60cm+48 = 146cm?

Please help with this, I don't know if 10 points are enough.

Answers

the answer would be 65

Answer:

x = 65

Step-by-step explanation:

all angles in a triangle add up to 180 degrees

therefore, knowing that we can say that 25 + 25 = 50 degrees.

we then minus 50 from 180 (180-50=130) to find the remaining angle

we then say that 2x = 130

and solve for x i.e. 130/2 = 65

therefore x is 65

Oatmeal is packaged in a right circular cylindrical container that has a radius of 1.5 inches and a height of 12 inches. What is the surface area of this container in terms of π?

Answers

Answer:

= 40.5π square inches

Step-by-step explanation:

Oatmeal is packaged in a right circular cylindrical container that has a radius of 1.5 inches and a height of 12 inches. What is the surface area of this container in terms of π?

The formula for the surface Area of a cylinder = 2πr( r + h)

r = 1.5 inches

h = 12 inches

Hence,

2 × π × 1.5( 1.5 + 12)

3π(13.5)

= 40.5π square inches

The surface area of the cylinder is

= 40.5π square inches

3. Alfonso surveyed several students in his school. He asked them to give the grade that they are in any the number of pets they have at home. The results are shown in the table
below.
Survey Results
Number of
Grade
5
6
2
1
4
2
4
1
4
3
5
Pets
0
4
2
3
5
1
2
2
0
5
2
I
Find the correlation coefficient for the data. Round to the nearest hundredth.

Answers

the correlation coefficient for Alfonso survey is 0.36.

What is the correlation coefficient?

The correlation coefficient is a quantitative method of calculating correlation. It is a statistical concept, which helps in establishing a relation between predicted and actual values obtained in a statistical experiment.

For the given situation,

The table below shows the values of the data x, y and the correlation calculations.

The formula of correlation coefficient is

[tex]r=\frac{n(\Σ xy)-(\Σ x)(\Σ y)}{\sqrt{[n\Σ x^{2} -(\Σ x)^{2} }] [n\Σ y^{2}-(\Σ y)^{2} ]}[/tex]

From the table substitute all the values.

⇒ [tex]r=\frac{(11)(98-(37)(26))}{\sqrt{[11(153)-37^{2} ][(11)(92)-26^{2} ] }}[/tex]

⇒ [tex]r=\frac{1078-962}{\sqrt{(1683-1369)(1012-676)} }[/tex]

⇒ [tex]r=\frac{116}{\sqrt{(314)(336)} }[/tex]

⇒ [tex]r=\frac{116}{324.81}[/tex]

⇒ [tex]r=0.357[/tex] ≈ [tex]0.36[/tex]

Hence we can conclude that the correlation coefficient for Alfonso survey is 0.36.

Learn more about correlation coefficient here

https://brainly.com/question/19560394

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Find the Perimeter of the figure below, composed of a parallelogram and two
semicircles. Round to the nearest tenths place.
15
12

Answers

Answer:

91.68

Step-by-step explanation:

first u find the perimeter of the inner shape...

15+15+12+12=54

than u find the circumstances of the two circles than dividing it is half since it is half a circle

c=2×pi×r

c=2×3.14×6

c=37.68

than add them together

37.68+54= 91.68

ally and sophie are sharing cookies in a ratio of 5:2, ally has 15 more than sophie. How many sweets does sophie have?

Answers

She has 30 cookies because 45-15=30

Carlos has four notes in his wallet: $5, $10, $20, and $50. He takes out two notes at random.
There are six possible pairs of notes. List them.
b Find the probability that:
i. one of the notes is $5 ii. the total value of the notes is more than $50.

Answers

Answer:

5 and 10

5 and 20

5 and 50

10 and 20

10 and 50

20 and 50

1/4 for 5$

1/4 for 50$

Which graph represents a function?

Answers

Answer:

D

Step-by-step explanation:

A function is where each input (here, the input is x) corresponds to exactly one output (here, the output is y). In other words, if a function is graphed, we should be able to draw a vertical line through every single part of it that will intersect it at only one place.

Let's examine each choice.

(A) Well, if we draw a vertical line through the graph, it will obviously intersect the entire line - which is an infinite number of intersections, so this is not a function.

(B) If we draw a vertical line through the portion of the graph that lies near the positive x-axis, we note that it will intersect twice, so this is not a function.

(C) If we strategically draw a vertical line through the y-axis, we see it will intersect two times, so this is not a function.

(D) We can draw a vertical line through any portion of this graph and know that it will only intersect once.

Therefore, the answer is D.

Answer:

D

Step-by-step explanation:

give person above brainliest

have a good one!

I will give brainlyist to the first right answer

Answers

Answer: I think it's 5(x+2y-3) or just letter C.

Step-by-step explanation:

C I think I hope this helped

if 100g can make 24 cakes, how much flour is needed to make 48?​

Answers

Answer:

200g

Step-by-step explanation:

24x2=48

100x2=200

I know this one is hard but its hard for me. PLEASE HELPP

Answers

Answer:

G. <3 and <5 hope this helps

Answer:

G

Step-by-step explanation:

Question 14 (4 points)
M M
(8x + 18)
L
(20x
+4)*
(6x + 4)º
What is mZKLM?
F 3
H 42
G 22
J 644

Answers

Answer:

oi bom fia lindinha a resposta em total 1k4

Solve for x please and thank you.

Answers

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

See https://brainly.com/question/22237817 for a complete explanation.

PLEASE HELP ME I AM BEING TIMED, I WILL MARK BRAINLIEST TO WHOEVER GETS THIS RIGHT

Answers

Answer:

FGJ +JGH=90

25+x. =90

x. =90-25

x. =65°

Answer:

65

Step-by-step explanation:

Hey There!

Those are a pair of complementary angles meaning that they will add up to equal 90

so to find x we subtract the given angle from 90

90-25=65

therefore x=65

Jamie is not sure exactly what career to pursue but when she learned about the Human Services cluster, something spoke to her. Which types of career pathways are available to Jamie? Pick a career from each path and explain what it involves and where she might work if she had that job.

Answers

The careers in the human services cluster include:

Agriculture, and Natural Resources.Architecture and Construction. Communications.Business, Management, and Administration.Education and Training

How to illustrate the information?

Human needs are met through activities such as counseling and mental health services, family and community services, personal care, and consumer services in the Human Services career cluster.

Career clusters are groups of jobs that are similar in nature. They make it simple to investigate many types of occupations under a single broad category. Begin by learning about one of the clusters, such as health care or construction, to understand about what it entails, current trends, and the various careers it offers.

Learn more about human services on:

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Is chef is going to use a mixture of two brands of Italian dressing the first brand contains 9% vinegar and the second one contains 12% vinegar the chef wants to make 240 mL of dressing that is 11% vinegar how much of each where should she use

Answers

Answer:

80 of vinegar

160 of dressing

Explanation is below.

Hope this helps :)

Simplify√60×√180/√75​

Answers

7.74 times 13.41/8.66

The relationship between the time since Captain Summers became a ship captain and his total number of hours at sea can be modeled by the equation y = 800x + 2200, where x is the time since he became a ship captain in years and y is his total number of hours at sea. How many hours at sea did Captain Summers have when he first became a ship captain?

Answers

Answer:

2200

Step-by-step explanation:

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