Find the surface area of the regular hexagonal prism. Round your answer to the nearest hundredth.
A. 528 55 mm
B. 628 55 mm
C. 720 55 mm
D. 860 55 mm

Answers

Answer 1

860.55 mm

Explanation:

The surface area of an hexagonal prism, also known as an octahedron, is given by the following formula (since we have the apothem):

S= 6*b*(a+h)

where b = is the side of the base, a is the apothem length, and h = the height

S = 6 * 8 * (4√3 + 11) = 48 * 17.92812 = 860.55 sq mm

Could have also have used another formula without the apothem:

S =3 * √3 * b² + 6 * b * h

S = 3 * √3 * 8² + 6 * 8 * 11 = 3√3 * 64 + 528 = 332.55  + 528 = 860.55 sq mm


Related Questions

help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Hey

(a+b)^2 = a^2+2ab+b^2

(a+b)^3 = a^3+3a^2b+3ab^2+b^3

PHOTO MATH (app) , it’s really helpful.

-2x + 3y - 4 =0
Find the x-intercept and y-intercept of the line

Answers

Answer:

Step-by-step explanation:

To find the x-intercept, set y = 0 and solve for x.

-2x + 3y - 4 = 0

-2x + 3(0) - 4 = 0

-2x + 0 - 4 = 0

-2x - 4 = 0

-2x = 4

 x =  4/-2

  x = -2                    The x-intercept is -2

To find the y-intercept, set x = 0 and solve for y.

-2x + 3y - 4 = 0

-2(0) + 3y - 4 = 0

0 + 3y - 4 = 0

     3y - 4 = 0

     3y = 4

       y = 4/3           The y-intercept is 4/3

you divide a number by 3, add 6, then subtract 7. The result is 4. What is the number?

Answers

Answer:

15

Step-by-step explanation:

15 because 15 divided by 3 equals 5 + 6 equals 11 and 11 minus 7 equals 4

(1 – xi)(5 – i) – (1 + 3xi)(5 – i)
-
Simply

Answers

Answer:

-20xi -4x

Step-by-step explanation:

Factorize; x cubed - x squared y ?
ASAP, please

Answers

Answer:

x²(x - y)

Step-by-step explanation:

x³ - x²y ( x² is common to both terms so factor it out )

= x²(x - y)

I forgot how to do this. Please help!

Answers

Answer:

It's just a line with a slope of 0 at y= -5

#1
Show if the triangles below are similar or not

Please help thankyou!!

Answers

Answer:

No the triangle are not same because the outer length of triangle is not same

find the volume of a cube with the given sides length. 1/5b^3

Answers

Answer:

[tex]\sf \dfrac{b^9}{125}[/tex]

Step-by-step explanation:

We need to find out the volume of cube with the given side length . The side of the cube is ,

[tex]\sf\longrightarrow Side =\dfrac{1}{5}b^3[/tex]

Now as we know that the volume of cube is ,

[tex]\sf\longrightarrow Volume = side^3[/tex]

Substitute the given value ,

[tex]\sf\longrightarrow Volume =\Bigg(\dfrac{1}{5}b^3\Bigg)^3\\\\\sf\longrightarrow \boxed{\red{\sf Volume = \dfrac{b^9}{125}}}[/tex]

The width of a rectangle is the length minus 4 units. The area of the rectangle is 12 units. What is the width, in units, of the rectangle?

Answers

Answer:

Step-by-step explanation:12-4=8

Kylie signed up for a streaming music service where there's a fixed cost for a monthly membership and a cost per song downloaded. Her total cost is given by the linear graph below. What does the slope of the line represent?

Answers

Answer:

we need the linear graph ._.

Step-by-step explanation:

Which number produces a rational number when multiplied by 1/2

Answers

Step-by-step explanation:

all odd numbers

that should be the answer

Given M ,N find the value of x

Answers

Answer:

x = 59 , y = 44

Step-by-step explanation:

(2x + 18) and (x - 15) are adjacent angles on a straight line and sum to 180°

2x + 18 + x - 15 = 180 , collect like terms

3x + 3 = 180 ( subtract 3 from both sides )

3x = 177 ( divide both sides by 3 )

x = 59

Then

x - 15 = 59 - 15 = 44

y and (x - 15) are corresponding angles and are congruent , then

y = 44

Please help me solve this

Answers

The answer is x = -18

Can someone solve the whole thing for me please it isnt a test its an online assignment and ill give you brainliest if you solve all of them correctly

Answers

Answer: do you have a email so i can send it to you??

Step-by-step explanation:

Help me with this it is math

Answers

Answer:

i can my googl

hangouts is hello jazlyn 2279

Step-by-step explanation:

I need help please asap!!

Answers

Answer:

I think its step 2.

Step-by-step explanation: Correct me if im wrong. Hope it helps. :)

Answer:

Step 1 ;

Step-by-step explanation:

Convert the division into a multiplication and then flip the fraction .

[tex] \frac{7}{9} \div \frac{3}{8} \\ \\ \\ \frac{7}{9} \times \frac{8}{3} [/tex]

There is a bag with only red marbles and blue marbles. The probability of only choosing a red marble is 5/8. There are 25 red marbles in the bag and each is likely to be chosen. How many marbles should there be in total?

Answers

Answer:  40

25 red, 15 blue

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

Work Shown:

b = number of blue marbles = unknown

r = number of red = 25

T = number total = 25+b

r/T = probability of getting red = 5/8

r/T = 5/8

25/(25+b) = 5/8

25*8 = 5(25+b) .... cross multiplication

200 = 125+5b

200-125 = 5b

75 = 5b

5b = 75

b = 75/5

b = 15

We have 15 blue marbles and 25 red marbles. This means there are T = r+b = 25+15 = 40 marbles total.

The proportion of red is r/T = 25/40 = (5*5)/(5*8) = 5/8 to help confirm we have the correct value for b.

Helppp ppleasee ??!!

Answers

Answer:

[tex](m^{4} + 5) - n^{3}[/tex] = 85

Step-by-step explanation:

[tex](m^{4} + 5) - n^{3}[/tex] given m = - 2, and n = -4

Substitute the given values into the polynomial expression:

[tex](m^{4} + 5) - n^{3}[/tex]

[tex][(-2)^{4} + 5] - (-4)^{3}[/tex]

= (16 + 5) - (-64)

= 21 + 64

= 85

Therefore, the correct answer is 85.

Answer: 85

Step-by-step explanation:

(m^4+5)-n^3

(-2^4+5)-(-4)^3

(16 + 5)-(-64)

21 + 64 = 85

Help! Look at the image below!

Answers

Answer:

the answer is (6,9) so the answer for y is 9

Step-by-step explanation:

The graph of the equation 2x-3y = 7 is a line. If a point on this line has an x-coordinate of 10, what
is its y-coordinate?

Answers

Answer:

y = 13/3

Step-by-step explanation:

First input 10 as our x into the equation. So our new equation is 2(10) - 3y=7.

Once you simplify your equation would be 20 - 3y = 7. Subtract 20 from both sides. New equation is -3y = -13. Divide each side by -3. Your answer for y is 13/3.

Given that a = 4 and b = 6, find the value of a+b ​

Answers

Answer:

10

Step-by-step explanation:

We know that a = 4 and b = 6, and we are trying to find the answer to both of them added, so to get a + b, we can substitue the values of a and b by their numbers. So,

a + b

Is the same as

4 + 6, which equals 10.

Therefore, the value of a+b is 10

Hope this helps :)

Your bank account has in it. You deposit $5 per day.
(a) How much money is in your account after 5 days? Show your work
(b) After you have made all of your deposits, you withdraw $2 a day until your account balance is 0
many days will you withdraw $2? Show your work

Answers

y=fx
a) y = 5(5) | y=25
b) =13

is 18/3 an irrational number

Answers

Answer:

Yes it is irrational

Step-by-step explanation:

Hope this helps

The number 18/3 is 6 which is not an irrational number.

What is an irrational number?

An irrational number, any real number that cannot be expressed as the quotient of two integers—that is, p/q, where p and q are both integers. For example, there is no number among integers and fractions that equals Square root of√2.

here, we have,

18/3

= 6

So, its not an irrational number.

To learn more on number click:

brainly.com/question/17429689

#SPJ2

17
1 point
Write the equation of the line that passes through the points (-2.3) and (-2.5).

Answers

Answer:

pa pic nyou nalang kung may pic plss

pls help im really bad at math no links pls​

Answers

Answer:

[tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]-\frac{5}{6} +\frac{6}{18}[/tex]

[tex]-\frac{5}{6} +\frac{2}{6}[/tex]        reduced

[tex]\frac{-5+2}{6}[/tex]            transformed the expression to make it easier

[tex]-\frac{3}{6}[/tex]               add

[tex]-\frac{1}{2}[/tex]               reduce

-4x + 2x + 3x + 8
Asap

Answers

Answer:

x + 8

Step-by-step explanation:

1. To simplify this expression, we have to combine like terms.

(-4x + 2x + 3x) + (8)(-2x + 3x) + (8)x + 8

Therefore, the answer is x + 8.

find the value of the expression -15.08 -8.43​

Answers

Answer:

23.51

Step-by-step explanation:

The energy needs of an eagle range between 350-600 calories per day. If it gets 120 calories from consuming 1 snake, how many snakes can it have

Answers

Answer:

3- 5 snakes

Step-by-step explanation:

One snake gives 120 calories, so 3 snakes = 360 and 5 snakes = 600 calories.

The eagle can have 3 - 5 snakes per day

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The required number of snakes is ~

[tex]3 \: \: to \: \: 5 \: \: \: snakes[/tex]

[tex] \large \boxed{ \mathfrak{Explanation}}[/tex]

Minimum number of snakes that the eagle need to eat to maintain its energy level ~

[tex] \dfrac{350}{120} [/tex]

[tex] \dfrac{35}{12} [/tex]

[tex] \approx3[/tex]

Maximum number of snakes that the eagle should eat to maintain the level of energy ~

[tex] \dfrac{600}{120} [/tex]

[tex]5[/tex]

So,

The Eagle should have 3 - 5 snakes per day ~

Given that ∠ADC≅∠BCD, AC⊥CD and BD⊥CD, which of the following proves that △ACD≅△BDC?

Answers

Answer:

1.  ∠ADC≅∠BCD (Given)

2.  AC¯¯¯¯¯⊥CD¯¯¯¯¯;  BD¯¯¯¯¯⊥CD¯¯¯¯¯  (Given

)3.  ∠ACD and ∠BDC are right angles(Def. of ⊥)

4.  ∠ACD≅∠BDC (Rt. ∠≅Thm.)

5. CD¯¯¯¯¯≅CD¯¯¯¯¯ (Reflex. Prop. of ≅)

6.  △ACD≅△BCD (ASA Steps 1, 5, 4)

△ACD and △BCD are Congruent triangles because Two angles are the same, as is a corresponding side.

What is of congruent triangle?Congruent triangles have comparable sides and angles that are equal. The symbol "≅" represents congruence.The three sides are all the same (SSS: side, side, side)Two angles are the same, as is a corresponding side (ASA: angle, side, angle)We know that two triangles are congruent if all of their sides are the same— thus side, side, side (SAS: side, angle, side). We also know they are congruent if we have a side, an angle between the sides, and another congruent side—so side, angle, side.

1.  ∠ADC≅∠BCD (Given)

2.  AC⊥CD;  BD⊥CD  (Given

3.  ∠ACD and ∠BDC are right angles(Def. of ⊥)

4.  ∠ACD≅∠BDC (Rt. ∠≅Thm.)

5. CD≅CD (Reflex. Prop. of ≅)

6.  △ACD≅△BCD

To learn more about Congruent triangles  refer,

https://brainly.com/question/2938476

#SPJ2

A health club charges a one-time sign-up fee and a monthly membership fee. The
equation y = 35x + 20 represents what the health club charges. Find the rate of
change.
=

Answers

Answer:

+35 per month

Step-by-step explanation:

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