Through a regular hexagonal prism whose base edge is 8 cm and whose height is 12 cm, a hole in the shape of a right prism, with its end being a rhombus with diagonals 6 cm and 8 cm is drilled . Find: the total surface area of the remaining solid. ​

Answers

Answer 1

The total surface area of the remaining solid is 48(4+root3) centimeters square.

We have given that,

Through a regular hexagonal prism whose base edge is 8 cm

Whose height is 12 cm, a hole in the shape of a right prism

What is the formula for the total surface area?

Total surface area=2(area of the base)+parameter of base×Height

Height=8cm

Parameter of base=12(2)=24

area of the base=6×root3/4×4^2

We use the given value in the formula

=2×6×root3/4×4^2+24×8

=48root3+192

=48(4+root3)cm^2

Therefore the total surface area of the remaining solid is 48(4+root3)cm^2.

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Related Questions

Help please an explanation would be appreciated!!

An architect notices that the scale on a blueprint he is using has been torn off. However, he sees that a 21.6-foot wall that has been built is 6 inches long on the blueprint. What is the scale for this blueprint?

A. 1 in. : 3.6 ft.
B. 1 in. : 6.3 ft.
C. 1 in. : 36 ft.
D. 1 in. : 63 ft.

Answers

Answer:

The answer is - A. 1 in. : 3.6 ft.

Step-by-step explanation:

In order to get the scale on the blueprint we just have to divide the measure in real time by the number of the blueprint, if we know that there´s a wall that is 21.6 feet long, and in the blue print is 6 inches long we just divide it:

scale: 21.6/6

scale: 3.6

So, now we know that for every inch in the blueprint there has to be 3.6 feet on the real construction.

(I hope I helped you)

Sandro plans to travel to work by train on 20 days next month. He can buy a monthly ticket costing £262 or 20 separate tickets costing £15.70 each ticket. What percentage of the total cost of 20 separate tickets does Sandro save by buying a monthly ticket? Give your answer correct to 1 decimal place.

Answers

20 separate tickets in total costs £314.

Now we should find out what percentage 262 is of 314.

262÷314×100=83.4%

if 262 is 83.4% of 314, then Sandro saves (100%-83.4%) 16.6%.

ANSWER 16.6%

qartveli xar mgoni dd

the circumference of a circle exceeds the diameter by 60 cm. Find the radius of the circle.

Answers

Answer:

14 cm

Step-by-step explanation:

hope this helps :)

Pls help !!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

D. Rhombus.

Step-by-step explanation:

This will be a quadrilateral with 4 equal sides.

The oppsoite angles will be equal   but they will not be 90 degrees as each triangle of the 3 dimensional figure is an equilateral triangle.

Therfore the cross section is a rhombus.

The function g(x) = (3-2). The function f(x) = g() +3.
The function f() is shifted horizontally
2 units to the left of g(3).
The function f() is shifted vertically

Answers

Answer:

Step-by-step explanation:

The answer

g(3)=3−23⋅(3)=3−2=1

Explanation:

show that

g(x)=3−23x

for g(3)g(3)=3−23⋅(3)=3−2=1

Please help me with this please and thank you

Answers

Step-by-step explanation:

a geometric sequence means that every term is created by multiplying the previous term by a certain constant factor. this factor is called the "common ratio".

so,

6×r = 18

r = 18/6 = 3

and a quick check tells us this works also for the next terms (18×3 = 54, 54×3 = 162), so it is indeed a geometric sequence with common ratio 3.

a0 = 6

a1 = a0 × 3 = 6×3 = 18

a2 = a1 × 3 = a0 × 3×3 = 6×3² = 54

an = a0 × 3^n = 6 × 3^n

so,

f(x) = 6×3^x, x is integer, x >=0

9/18+1/3 calculator doesn’t have it pls help

Answers

Answer:

5/6

Step-by-step explanation:

9/18 + 1/3

Convert 1/3 to match 9/18:

1/3 = 6/18

1 * 6 = 6

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

3 * 6 = 18

6/18

9/18 + 6/18

15/18

Find the GCF of 15 and 18:

15

1, 3, 5, 15

18

1, 2, 3, 6, 9, 18

Divide:

15 ÷ 3

-------

18 ÷ 3

5/6 <== final answer

Hope this helps!

Lastttt Ooonnneeeee!!! Thank you guys so much for all your helpppp!!

Answers

Answer:

[tex]=12\sqrt{15} -40\sqrt{5}\\[/tex]

Step-by-step explanation:

[tex](2\sqrt{10} )(3\sqrt{6} -5\sqrt{8} )=(2\sqrt{10} )(3\sqrt{6} )-(2\sqrt{10} )(5\sqrt{8} )[/tex]

[tex]=6\sqrt{60} -10\sqrt{80}[/tex]

[tex]=6\sqrt{4(15)} -10\sqrt{16(5)}[/tex]

[tex]=6(2)\sqrt{15} -10(4)\sqrt{5}[/tex]

[tex]=12\sqrt{15} -40\sqrt{5}[/tex]

Hope this helps

Question is in the pic below ;)))

Answers

Answer:

the first one

Step-by-step explanation:

1 x -4 = -4

3 x -4 = -12

and so on

PLEASE HELP
Henry bought snacks for his team's practice. He bought a bag of chips for $2.25 and a 5-pack of juice bottles. The total cost before tax was $9.95. How much was each bottle of juice?

Answers

1,54 is each bottle of juice

The bag of chips for $2.25 and a 5-pack of juice bottles each bottle of juice costs $1.54.

Let's break down the information given in the problem:

Henry bought a bag of chips for $2.25.

He also bought a 5-pack of juice bottles.

The total cost before tax was $9.95.

Let's represent the cost of each bottle of juice as "x" dollars.

The total cost of the chips and the juice bottles is given as $9.95. So, we can write the equation:

Cost of chips + Cost of 5 juice bottles = Total cost

$2.25 + 5x = $9.95

Now, we can solve for the value of "x" (the cost of each bottle of juice):

5x = $9.95 - $2.25

5x = $7.70

Dividing both sides by 5:

x = $7.70 / 5

x = $1.54

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The flight of a javelin released six. 5 feet from the ground at an initial velocity of 68 ft./s is modeled by the function age equals 16 t^2+68t+6.5 where H is the height of the Javelin in feet after t seconds. When will the javelin hit the ground? Round to the nearest hundredth if necessary

Answers

The equation of the javelin path h(t) = -16t^2+68t+6.5 is a quadratic function

The javelin hits the ground after 4.344 seconds

How to determine when the javelin hits the ground?

The equation of the javelin path is given as:

h(t) = -16t^2+68t+6.5

When it hits the ground, h(t) = 0.

So, we have:

-16t^2+68t+6.5 = 0

Using a graphing calculator, we have:

t = 4.344 and t = -0.094

Time cannot be negative.

So, we have:

t = 4.344

Hence, the javelin hits the ground after 4.344 seconds

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The length of a rectangle is 4/5 of the width. The length of the rectangle is 3/5 meter. Which equation can be used to find w, the width of the rectangle in meters?
A 3/5w = 4/5
B 4/5w = 3/5
C 3/5 + w = 4/5
D 4/5 + w = 3/5

Answers

Answer:

B: 4/5w = 3/5

Step-by-step explanation:

The length of the rectangle is stated as being 4/5 of the w. (4/5 * w)

The length is also stated specifically as being 3/5m so that will equal 4/5w on the other side of the equation.

Bonus:

You could work out the equation as

4/5w = 3/5m

multiply by 5

4w = 3m

divide by 4

w = 0.75m (or 3/4m)

Brianna’s teacher asks her which of these three expressions are equivalent to each other. Expression A: 9x−3x−4 Expression B: 12x−4 Expression C: 5x+x−4

Answers

Answer:

expression a and c

Step-by-step explanation:

A. 9x-3x-4 = 6x-4

C. 5x+x-4 = 6x-4

hope this helps

Answer:

Expression A and C

Step-by-step explanation:

When Expression A is simplified it is 6x - 4. And for Expression C you add 5x and x, and then it’s 6x - 4. That makes them the same expression. So your answer would be Expression A and C.


I hope it helps! Have a great day!

Muffin ^^

9) The diameter of a circular ice skating rink is 32 feet. What is the approximate area of the ice skating rink? Use a = 3.14. a) 803.84 square feet b) 50.24 square feet c) 100.48 square feet d) 64 square feet​

Answers

Answer:

a) 803.84 square feet

Step-by-step explanation:

[tex]\sf{area~of~circle~=~\pi r^{2} }\\\sf{radius~ =~half~of~diameter}[/tex]

so 32 / 2 = 16 = radius

[tex]\sf{radius^{2} = 16^{2}=256}[/tex]

256 x 3.14 (because we are taking π as 3.14)

= 803.84

Hope this helps! If you need any further explanation, let me know!

- profparis

What is the SECOND STEP to solve this equation?

3x+2=17
Question 6 options:

Add 2 to both sides


Subtract 2 from both sides


Multiply both sides by 3


Divide both sides by 3

Answers

Answer:

Step-by-step explanation:

subtract 2 from both sides

Answer:

divide both sides by 3

Step-by-step explanation:

what is the difference in the length between the longest meter in the shortest meter​

Answers

Answer:

1 5/8 inches

Step-by-step explanation:

Hey there!

The question is asking what the difference in the length between the longest meteor and the shortest meteor is.

In the chart, the smallest measurment is 2/8 and the largest is 1 7/8
So in order to solve this you need to subtract these two values

we can convert 1 7/8 to 15/8 to make the subtraction more simple

15/8-2/8=13/8 which is 1 5/8

So the difference between the longest and shortest meteor is 1 5/8 inch

Answer: 1 5/8.

Step-by-step explanation: The longest one is 1 7/8 and the shortest one is 2/8.  Both are circled below. To figure this problem out, we need to find the difference of the longest and shortest meteors, also known as a subtraction problem.  The work is done below:

1 7/8 - 2/8 = 1 5/8.

Hope this helps! :)

Which polygons are congruent?
Select each correct answer.
5
20
20
25
25
Activate Windo

Answers

Answer:

All except the 3rd one

the one with 20 and 25

Use the graph below to answer the following question.

Answers

A,I think I don’t really know

Answer:

2001-2003

Step-by-step explanation:

This because the trend is almost the same in these yrs

Can anyone help me with my homework?

Answers

2)

-2, -12

-9, -54

-6, -36

6, 36

-4, -24

Calculate the perimeter of the shape below. Show your work,

Answers

Answer:

68 is the perimeter.

Step-by-step explanation:

You can find the perimeter by adding up all of the sides. 13 + 11 + 3 + 7 = 34. To find the other sides of the shape you do 11 + 7 and 13 + 3. 11 + 7 = 18. 13 + 3 = 16. 18 + 16 = 34. 34 + 34 = 68.

What happens to the energy after cellular respiration? What happens to the carbon dioxide and water?

Answers

Answer:

Through the process of cellular respiration, the energy in food is converted into energy that can be used by the body's cells. During cellular respiration, glucose and oxygen are converted into carbon dioxide and water, and the energy is transferred to ATP.Step-by-step explanation:

A dart hits the circular dartboard shown below at a random point. Find the probability that the dart lands in the shaded circular region. The radius of the dartboard is 13in, and the radius of the shaded region is 4in.

Use the value 3.14 for π. Round your answer to the nearest hundredth.

Answers

Answer:

The first thing you need to do is:you have a square whose area is 11^2 = 121 square inches.then we are going to multiply the radius to the PI which is 3.14 the area of the circle with radius 4 is equal to 3.14 * 4^2 = 3.14 * 16 = 50.24you need to divide the calculated radius times pi (3.14) you can get the answer and you need to round your answer to the nearest hundredththe probability that the dart will hit within the circle is equal to 50.24 / 121 = 0.4152066116 which is rounded to .04152 or 41.52%this assumes the dart will always hit the square at least.

Step-by-step explanation:

NEED HELP ASAP!!! GIVING BRAINLIEST+20 POINTS TO B4ST ANSWER FOR THESE 2 QUESTIONS!! YOU CAN DO IT! :D


1. Solve two thirds times two thirds.

1.two ninths

2.two sixths

3.four ninths

4.four over one



2. Matt is painting a mural on a 1-square meter section of a wall. He has completed a rectangular part of the mural that is four sixths of a meter wide and two fifths of a meter tall. What part of the mural has been completed?

1. four fifths
2. eight sixths
3. six elevenths
4. eight thirtieths

Answers

Answer:

See below ↓↓

Step-by-step explanation:

1.

2/3 x 2/3Numerator (N) = 2 x 2 = 4Denominator (D) = 3 x 3 = 9Fraction = N/D = 4/9⇒ 3. four ninths

2.

Area completed = 4/6 x 2/5Numerator (N) = 4 x 2 = 8Denominator (D) = 6 x 5 = 30Fraction = N/D = 8/30 ⇒ 4. eight thirtieths

Explanation:

[tex]\bold{two \ third \ refers \ to }\ \ \boxed{\sf \frac{2}{3}}[/tex]

[tex]\hookrightarrow \sf \dfrac{2}{3} *\dfrac{2}{3}[/tex]

[tex]\hookrightarrow \sf \dfrac{2*2}{3*3}[/tex]

[tex]\hookrightarrow \sf \dfrac{4}{9}[/tex]

answer: four ninths

2nd

area of the finished part:

Length * Width

[tex]\hookrightarrow \sf \dfrac{4}{6} * \dfrac{2}{5}[/tex]

[tex]\hookrightarrow \sf \dfrac{4*2}{6*5}[/tex]

[tex]\hookrightarrow \sf \dfrac{8}{30}[/tex]

answer: eight thirtieths

50 divided by 0.25 With solution.

Answers

Answer:200

Step-by-step explanation:

50x100/0.25x100 (to make it into non decimal no.)

5000/25=200

[tex]\dfrac{50}{0.25}\\\\\\=\dfrac{50}{\tfrac{25}{100}}\\\\\\=50 \times \dfrac{100}{25}\\\\\\=2 \times 100\\\\\\=200[/tex]

What is the value of X in the following equation X/4 + 8 = 13

Answers

Substract 8 both sides and the multiply by the reciprocal of x/4 which is 4, so x=20

1000 POINTS!!!!!! PLEASE HELP WILL MARK BRAINLIEST!!!!!!!!!

Solve for x using the law of Cosines!
SHOW UR WORK!!!!!

Answers

Answer:
Draw a height to get two right triangles and use cosine=opposite/hypotenus in each to get x
x=18.441


Identify the z* critical value for constructing a confidence interval for one proportion using these confidence levels. You can reference the t distribution table to answer this question.

Enter each answer to 3 decimal places.

90% confidence:

95% confidence:

99% confidence:

Answers

The 90% confidence, 95% confidence and 99% confidence have a z critical value of 1.65, 1.96 and 2.58 respectively.

What is z score?

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (raw score - mean) / standard deviation

From the normal distribution table:

The z critical value for 90% confidence, 95% confidence and 99% confidence is 1.65, 1.96 and 2.58 respectively.

Find out more on z score at: https://brainly.com/question/25638875

Answer:

90% confidence:

1.645

95% confidence:

1.960

99% confidence:

2.576

Step-by-step explanation:

EDGE2022

0=x^2+2x-11 solve by completing the square

Answers

Answer:

Below in bold.

Step-by-step explanation:

x^2 + 2x- 11 = 0

x^2 + 2x = 11

x^2 + 2x + 1 = 11 + 1

(x + 1)^2 = 12

x + 1 = ±√ 12

x = -1  ± √12

= -4.464, 2.464 to the nearest thousandth.

Please Help and explain
Im not to sure how to do this

Answers

Answer:

I think the answer is C

Step-by-step explanation:

Which inequality has the graph shown below?

Answers

Answer:

Its A.

Step-by-step explanation:

Here is the graph for A

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