Through a regular hexagon whose base edge is 8cm and whose height ii 12cma hole in the shape of the right prism with ots end being rhombus with diagonals of 6cm and 8cm is drilled find the total surface area and volume of the remaining soild?

Answers

Answer 1

The total surface area of the remaining solid is 48(4+✓3) centimeters square.

How to calculate the surface area?

Through a regular hexagonal prism whose base edge is 8 cm and the height is 12 cm, a hole in the shape of a right prism.

The formula for the total surface area will be:

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

where,

Height= 8cm

Parameter of base=12(2) = 24

Area of the base= ✓3/4×4² = 64✓3/4

The surface area of the remaining solid will be:

= 2(64✓3/4) + 24 × 8

= 2(64✓3/4 + 192

With the hole is a rhombus prism with the following parameters:

diagonal 1 = 6, diagonal 2 = 8, height = 12

The volume is:

V1 =0.5 × d1 × d2 × h

V1 = 0.5 × 6 × 8 × 12

V1 = 96

The dimensions of the hexagonal prism are:

Base edge (a) = 8

Height (h) = 12

The volume is

V2 = (3✓(3)/2)a²h

V2 = (3✓3)/2) × 8² × 12

V2 = 1152✓3

The remaining volume is

V = V2 -V1

V = 1152✓3 - 96

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Related Questions

catergorize the graph as linear decreasing, linear increasing, exponential growth or exponetnial decay

Answers

i cant help you with that bc there is no graph so...

PLEASE HELP! 50 POINTS! IF YOURE NOT GOING TO ACTUALLY ANSWER, PLEASE DON'T SAY ANYTHING.

Answers

Answer:

Part A:

In order to find a coterminal angle, or angles of the given angle, simply add or subtract 360 degrees of the terminal angle as many times as possible.

Part B:Simply put, coterminal angles start at 0° and end at the same place, though in different directions and multiple times around (you're probably going to want to make that sound a little more formal). Since each time around is 360°, boom

Part C: 75° is in Quadrant II, right? If I go one more time around, 75 + 360 = 435°. I can also go "backward. Starting at 0 and going clockwise, I'm going 75 fewer degrees than all the way around, so 360-75 = 285° but since I'm going "backward" 75 - 360 = -285°. One more is on you.

Step-by-step explanation:

There are 18 students on the debate club. How many ways can the club send 4 students to the next debate

Answers

There are 3060 ways the club send 4 students to the next debate if there are 18 students on the debate club.

What is permutation and combination?

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

We have the total number of students = 18

The number of ways the club send 4 students to the next debate is:

= C(18, 4)

[tex]= \rm \dfrac{18!}{4!(18-4)!}[/tex]

= 3060

Thus, there are 3060 ways the club send 4 students to the next debate if there are 18 students on the debate club.

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d. If f¹(x+2) =X-1/x+1x not equal to 1 then find f(x) and f¹(4).​

Answers

I assume by f¹, you actually mean f⁻¹ as in the inverse of f. I also assume you are asked to find f(x) (as in the inverse of f⁻¹) and f⁻¹(4).

Given that

[tex]f^{-1}(x+2) = \dfrac{x-1}{x+1}[/tex]

with x ≠ 1, we can find f⁻¹(x) by replacing x + 2 with x :

[tex]f^{-1}(x + 2) = \dfrac{x-1}{x+1} = \dfrac{(x+2) - 3}{(x + 2) - 1} \implies f^{-1}(x) = \dfrac{x-3}{x-1}[/tex]

Then when x = 4, we have

[tex]f^{-1}(4) = \dfrac{4-3}{4-1} = \dfrac13[/tex]

Of course, we also could have just substituted x = 2 into the definition of f⁻¹(x + 2) :

[tex]f^{-1}(4) = f^{-1}(2+2) = \dfrac{2-1}{2+1} = \dfrac13[/tex]

To find f(x), we fall back to the definition of an inverse function:

[tex]f^{-1}\left(f(x)\right) = x[/tex]

Then by definition of f⁻¹, we have

[tex]f^{-1}\left(f(x)\right) = \dfrac{f(x)-3}{f(x)-1} = x[/tex]

Solve for f :

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

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

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

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

[tex]f(x) = \dfrac{3-x}{1-x} = \dfrac{x-1}{x-3}[/tex]

1.)which of the following is the formula to find the volume of rectangular prism?

A. V =lwh
B. V = lw
C. 1/3(Bh)
D. 1/2(Bh)

2.)the volume of a cone is _____ the volume of a cylinder with the same base area (B) and height (h).

A. 1/2
B. 1/3
C. 1/4
D. 1/5

Answers

Answer:

First answer:

A

Second answer:

I think A

Answer:

A and B

Step-by-step explanation:

1

the volume (V) of a rectangular prism is calculated as

V = lwh ( l is length, w is width, h is the height )

  = Bh ( B is the area of the base )

2

the volume of a cone is [tex]\frac{1}{3}[/tex] the volume of a cylinder with the same base area (B) and height (h)

Question 1
What is the length of the diagonal from A to C of this rectangle? Round your answer to
the nearest tenth to a metre
Will mark Brainest!!

Answers

Answer: 17.2

Step-by-step explanation:

By the Pythagorean theorem,

[tex]10^{2}+14^{2}=(AC)^{2}\\\\(AC)^{2}=296\\\\AC=\sqrt{296} \approx \boxed{17.2}[/tex]


2(z + 5) + 5(z + 2) = 10 (z - 1)

Answers

Answer:

z = 10

Step-by-step explanation:

simplify to

2z + 10 + 5z + 10 = 10z-10

2+5z-10z=-10-10-10

-3z = -30

z = 10

give brainiest please!

hope this helps :)

Answer:

z = 10

Step-by-step explanation:

Distribute:

(2z + 5) + 5(z + 2) = 10(z - 1)

2z + 10 + 5(z + 2) = 10(z - 1)

and distribute again:

2z + 10 + 5(z + 2) = 10(z - 1)

2z + 10 + 5z +10 = 10(z - 1)

and add the 2 tens that are in bold.

2z + 10 + 5z +10 = 10(z - 1)

2x + 20 + 5z = 10(z-1)

Theres a lot more steps but just

comebine like terms

Distribute

Stubtract 20 from both sides

simplify

subtract 10z from both sides

simplfy

divide both sides by the same factor

and simplfy.

Solve the equation. 13x-5=1+11x

Answers

Answer is C, hope this helps!!

Answer:

x=3

13x-5=1+11x

(ADD 5 TO BOTH SIDES)

13x-5+5=1+11x+5

SIMPLIFY

13x=11x+6

SUBTRACT 11x FROM BOTH SIDES

13x-11x=11x+6-11x

SIMPLIFY

2x=6

DIVIDE BOTH SIDES BY 2

2x/2 = 6/2

SIMPLIFY TO GET FINAL ANSWER

x=3

A mother and daughter decided to add their ages together. The sum of their ages is 76. Six years ago, the mother was 3 times the age of her daughter. How old is the daughter now?​

Answers

Answer: The answer will be 19

Answer: 23 years old

Step-by-step explanation:

The sum of negative eighteen and a number is eleven. What is the number?



Which equation could be used to solve the problem?

Answers

Answer:

-18 + x = 11

x = 29

Step-by-step explanation:

To solve this, you can use the formula of a + b = c

[tex]-18 + x = 11\\-18 = 18\\11 + 18 = 29\\x = 29[/tex]

Answer:

29

Step-by-step explanation:

Your equation can be -18+x=11. Since we don't know the number, we can use x. We are trying to find out a number that when it's added to -18, the answer will be 11.

Now, we solve the equation:

-18+x=11

x=11+18

x=29. Answer

To check this answer:

we can use our equation and substitute 29 for x.

-18+x=11

-18+(29)=11

11=11.

They are equal. Therfore, the answer is correct.

1. In a sample of 800 students in BNHS, 160, or
20%, are Grade 7 students Based on the above
information, the school's paper reported that "20% of
all the students at BNHS are grade 7." This report is
an example ofIn a sample of 800 students in BNHS, 160, or
20%, are Grade 7 students Based on the above
information, the school's paper reported that "20% of
all the students at BNHS are grade 7." This report is
an example of

a. a sample
b. a population
c. statistical inference
d. descriptive statistics

19.. A statistics professor asked students in a class
their ages. On the basis of this information, the
professor states that the average age of all the
students in the university is 21 years. This is an
example of
a. a census
b. descriptive statistics
c. an experiment
d. statistical inference

20. A tabular summary of a set of data showing the
fraction of the total number of items in several classes
is a
a. frequency distribution
b. relative frequency distribution
c. frequency
d. cumulative frequency distribution

Answers

Answer:

1. c. statistical inference

19. d. statistical inference

20. b. relative frequency distribution

Brett draws the shape shown below.
He says the shape can be classified as a quadrilateral, parallelogram, rhombus, and square.
Is Brett correct? Explain.

Answers

The given figure is quadrilateral, parallelogram, and a  rhombus but not a square. So brett is not correct.

What is a square?

A square is a quadrilateral with all the sides equal and all the four sides are perpendicular to each other.

We know that it is a quadrilateral as a quadrilateral is having four sides and the sum of the angles is 180 degrees.

The given figure is a parallelogram as opposite sides of the figure are parallel and equal.

The given figure is a rhombus as all the sides are parallel and equal.

The given figure can not be a square as in the square all the four sides are perpendicular to each other.

Therefore given figure is quadrilateral, parallelogram, and a  rhombus but not a square. So brett is not correct.

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What is the product of 3x(x²+4)?
Ox²+3x+4
O 3x³ +4
O 3x³ + 12x
O 3x² + 12x

Answers

Answer:

3x³ + 12x

Step-by-step explanation:

3x(x² + 4)

3x³ + 12x

what is the solution to this equation ?
4(4x+1) = 3x - 4(6 - x) + 8
A. x = - 12/9
B. x = - 20/23
C. x = - 20/9
D. x = - 12/23

Answers

Answer:

x = -20/9

Step-by-step explanation:

First we need to distribute this equation 4(4x+1) = 3x-4(6-x)+8. After distributing we get 16x+4 = 3x-24+4x+8. Next we add like terms to get 16x+4 = 7x-16. Now subtract 7x on both sides to get 9x+4 = -16. Now subtract -4 on both sides to get 9x = -20. Now divide by 9 on both sides to get x= -20/9.

Hope that helps! :)

help me pls i have 10 minutes left

Answers

Answer:

Rhombus

Step-by-step explanation:

Sides are parallel but have no right angles.

Answer:

  parallelogram

Step-by-step explanation:

Opposite sides of the figure have the same slope (0 or 5/2), so are parallel. The product of the slopes is not -1, so the angles are not right angles. Adjacent sides are different lengths, so the figure is not a rhombus.

__

The figure is a parallelogram.

_____

Additional comment

The slope is the "rise" (change in y-coordinate) of the segment divided by its "run" (change in x-coordinate). The left and right sides have a rise of 7-2 = 5, and a run of 6-4 = 2 -0 = 2. Their slope is 5/2.

The top and bottom sides have a rise of 0, so a slope of 0.

When the product of the slopes of different segments is -1, those segments are perpendicular. The perpendicular to a horizontal line has "undefined" slope, so the product of the slopes would be (0)×(undefined). This is a special case of perpendicular lines where the product of slopes is not -1.

Find the value of x - Step by step answer please

Answers

Answer:

x = -2

Step-by-step explanation:

Given :

[tex]\frac{8}{x+1} = \frac{-16}{x+4}[/tex]

=============================================================

Cross multiplying the terms :

⇒ 8 (x + 4) = -16 (x + 1)

⇒ 8x + 32 = -16x - 16

⇒ 24x = -48

x = -2

The radius of a wheel on a toy truck is 4 inches. To the nearest foot, how far does the wheel
travel when it makes 7 revolutions?

Answers

2 feet I think, I could be wrong

Which expression is equivalent to x² + 2x + 2?
(x+1-i)(x+1+i) 1
(x+1-i)(x+1-i) 2
(x + 2)(x + 1) 3
(z-1+i)(z-1--i) 4

Answers

Answer:

[tex](x+1-i)(x+1+i)[/tex]

Step-by-step explanation:

[tex](x+1-i)(x+1+i)\\\\=(x+1)^2 -i^2~~~~~~~~~~~~~;[a^2 -b^2 = (a+b)(a-b)]\\\\=x^2 +2x +1 -(-1)\\\\=x^2 +2x +1+1\\\\=x^2 +2x +2[/tex]

1712 is a odd or even number

Answers

1712 is an even number

Boubacar has a deck that measures 3 feet by 14 feet. He wants to increase each
dimension by equal lengths so that its area is tripled. By how much should he
increase each dimension?

Answers

Answer:

4

Step-by-step explanation:

(3 × 14) × 3 = 126

7 × 18 = 126

Boubacar will have to increase each dimension by 4 ft so that its area is triple.

What is the area of a rectangle?

The area of a rectangle is given by -

A[R] = L x B

where -

L is Length of rectangle

B is Breadth or width of rectangle.

Given is a deck that measures 3 feet by 14 feet. Boubacar wants to increase each dimension by equal lengths so that its area is tripled.

Assume that he increases the dimensions by x ft.

Initial Area = [A] = 3 x 14 = 42 ft².

Final Area = [A'] = 3[A] = 3 x 42 = 126 ft²

Initial dimensions = (L x B) = 3 feet x 14 feet

Final dimensions = (L' x B') = (3 + x) × (14 + x)

Now -

(L' x B') = 126

(3 + x)(14 + x) = 126

3(14 + x) + x(14 + x) = 126

42 + 3x + 14x + x² = 126

x² + 17x - 84 = 0

Solving the equation, we get -

x = 4  [ non negative number ]

Therefore, Boubacar will have to increase each dimension by 4 ft so that its area is tripled.

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Joey wants to buy a gym membership. He visits two gyms with two different fees. Gym A has a $40
sign up fee and it costs $25 per month. Gym B has a $50 sign up fee and costs $20 per month. How
many months will he have to belong to each before the costs are the same?

Answers

Answer:

2 months

Explanation:

50 - 40 = 10

25-20 = 5

10/5 = 2

The months for which Joey have to belong to each before the costs are the same are 2 months.

What is equation modelling?

Equation modelling is a method of writing a mathematical relation from a mathematical statement for mathematical analyses of the problem given.

Given is different fees structure of two gyms →  Gym A has a $40 sign up fee and it costs $25 per month. Gym B has a $50 sign up fee and costs $20 per month.

Assume that the months for which Joey have to belong to each before the costs are the same be x.

Then -

For Gym A -

Total cost for x months = C[A] = 25x + 40

For Gym B -

Total cost for x months = C[B] = 20x + 50

For same cost -

C[A] = C[B]

25x + 40 = 20x + 50

25x - 20x = 50 - 40

5x = 10

x = 2

Therefore, the months for which Joey have to belong to each before the costs are the same are 2 months.

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Given that 1 ton is equal to 2,000 pounds, how many pounds does 5.9 tons equal?
59,000 pounds
11,800 pounds
1,180 pounds
5,900 pounds

Answers

Answer:

11,800 lb

Step-by-step explanation:

dnt worry i got my wayz :)

Answer:

11,800 lbs

Step-by-step explanation:

5.9x2,000=11,800

answer please hahahahhaha​

Answers

[tex]\dfrac{5-i}{4+3i}=\dfrac{(5-i)(4-3i)}{(4+3i)(4-3i)}=\dfrac{20-15i-4i-3}{16+9}=\dfrac{17-19i}{25}=\dfrac{17}{25}-\dfrac{19}{25}i[/tex]

can you help me please?​

Answers

prolly 4.36 just use the Pythagorean theorem

All the perfect squares and perfect cube numbers ranging from 1-500

Answers

that one is way to hard bru i respect u trying to get the awnser

Lauryn wants to analyze the weights of the dogs for
people that own that animal in her class. She
records the following weights in a class survey:
28, 61, 17, 42, 37, 37, 22, 40, 13, 14, 33, 41, 25
If she chooses the intervals to be 0-15; 16-30; 31-45;
46-60; 61-75, which interval has the highest
frequency?
A. 16-30
B. 31-45
C. 46-60
D. 61-75



Please help me with this thank you

Answers

Answer: 16-30 because it has the most numbers in between

Step-by-step explanation: brainliest?

The interval that has the highest frequency is 16-30. That is option A.

How to determine the highest frequency interval?

To determine the class interval with the highest frequency, the following steps should be taken as follows;

The class interval taken are:

0-15 = 13, 14

16-30= 17,28,22,25

31-45= 37,33,41

46-60 = 0

61-75 = 61

Therefore,the class interval with the highest number of animals weight = 16-30.

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The function m is given in three equivalent forms.​

Answers

Answer:

  B; (-4, -8)

Step-by-step explanation:

The given forms of the equation are standard form, vertex form, and intercept form.

__

It is not surprising that the vertex form yields the vertex most quickly.

  B) m(x) = 2(x +4)² -8

Compare this to the generic vertex form ...

  f(x) = a(x -h)² +k . . . . . . . . . vertex (h, k)

We see that the vertex is (h, k) = (-4, -8).

please answer quickly, (1 question, 30 pts) thanks!

Answers

Step-by-step explanation:

once the level of medicine reaches a value, where 30% are 23mL (so, whatever is lost, is immediately replaced again), that is then the long run value for the amount of the drug in the patient's body.

so,

30% = 23 mL

1% = 30%/30 = 23/30 = 0.766666666...

100% = 1%×100 = 0.766666666... × 100 = 76.666666...

so, once the level reaches 76.666666... mL in the body, it will remain constant, as the daily filtered out 30% are 23 mL, and the daily add-on is also 23 mL.

so, the answer is

76.667 mL

please help will give brainly, 30 points

Answers

Answer:

Angle ILK = 43
Angle JIL = 67

Explanation:

Angle L and J are supplementary.
To find K’s angle, you need half of it’s arc. It’s arc is 226.

226 / 2 = 113

The sum of the polygon is 360.
(4-2)180

360 - 113 - 137 - 43 = Angle I

¿Cuál es la tasa de cambio promedio para f(x) = 2(-5x + 18) me ayudan ​

Answers

Answer-10x+46

Step-by-step explanation: hope this helps

Answer: Answer-10x+46

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