A wooden jewelry box has the shape of a prism with a regular hexagonal base of 85.3 in2. The sides of the hexagonal base are all 5.73 inches. If the height of the box is 18.10 inches, what is the surface area of the wood used to make the jewelry box?

Answers

Answer 1

Answer:

792.9 in²

Step-by-step Explanation:

Given:

Area of the base of the regular hexagonal prism box (B) = 85.3 in²

Each side length of hexagonal base (s) = 5.73 in

Height of prism box (h) = 18.10 in

Required:

Surface area of the wood used in making the hexagonal prism box

SOLUTION:

Surface area for any given regular prism can be calculated using the following formula: (Perimeter of Base × height of prism) + 2(Base Area)

Perimeter of the hexagonal base of the prism box = 6(5.73) (Note: hexagon has 6 sides.)

Perimeter of base = 34.38 in

Height = 18.10 in

Base area is already given as 85.3 in²

Surface area of the hexagonal prism box [tex] = (34.38*18.10) + 2(85.3) [/tex]

[tex] = 622.278 + 170.6 = 792.878 in^2 [/tex]

Surface area of the wood used in making the jewelry box ≈ 792.9 in²


Related Questions

What is the height of the building?

Answers

(33.85307637623) = 33.9m

the answer is option d

What the answer question

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Answer:

117.79

Step-by-step explanation:

John needs $8,000 to buy a car. So far, he has saved $5,600. What percent of the price of the car has he saved

Answers

Answer:

70%

Step-by-step explanation:

So 5600/8000 is the fraction and 80 = 1% so 5600/80 will be your answer

How to do this question plz answer my question step by step plzz plz plz plz plz ​

Answers

I hope this helps you!

1,2,3,5 and 7 are all common factors of two numbers. Write down the digit that the two numbers must end in? pls explain briefly

Answers

Answer:

9 or 11

Step-by-step explanation:

PLease help me and thank you

Answers

Answer:

Hey there!

First, let's identify the point. We always go x axis first, then y axis, so the point is at (3, 8).

From the graph, we see that it means the tree is 8 feet tall and three years old.

Let me know if this helps :)

Find the perimeter of the shape with vertices (2, 3), (5, 3) and (5, 7).

Answers

Answer:

12 units

Step-by-step explanation:

To find the perimeter given vertices, find the distance from one point to another.

Step 1. Find the distance between (2, 3) & (5, 3)

Answer: 3 (in this case) because for 2 to get to 5, it’s 3 units

Step 2. Find the distance between (5, 3) & (5, 7)

Answer: 4 (in this case) because for 3 to get to 7, it’s 4 units

Step 3. Find the distance between (5, 7) & (2, 3)

Answer: 5

Step 3 explanation: In image.

Step 4. Add all the distances between the points.

3 + 4 + 5 = 12 units

The perimeter is 12 units

The greatest number which on dividing 1657 and 2037 leaves nemainder 6 ands respectively is?​

Answers

Answer:

It would be 127

Step-by-step explanation:

We see that they only have 127 common in their prime factorization. Hence, HCF(1651, 2032) = 127. Hence, the greatest number which divides 1657 and 2037 leaves a remainder of 6 and 5 respectively is 127.

Find the image of the given point
under the given translation.
P(-7,1) T(x,y) = (x + 9, y-3)
P' = ([?], []).

Answers

Answer:

P' = (2, -2)

Step-by-step explanation:

You have the x-value and the y-value of the pre-image, so all you have to do is plug that into the translation statement (x + 9 , y - 3).

Since x = -7 and y = 1 that would be (-7 + 9, 1 - 3), or (2, -2).

Carrie rolls two 1-6 number cubes. How many outcomes are possible?​

Answers

Answer:

36

Step-by-step explanation:

The first dies has 6 possible outcomes

1,2,3,4,5,6

The second die has 6 possible outcomes

1,2,3,4,5,6

6*6 = 36

There are 36 outcomes

First Sample space

[tex]\\ \sf\longmapsto S=\left\{1,2,3,4,5,6\right\}[/tex]

[tex]\\ \sf\longmapsto |S|=6[/tex]

Now There are two cubes mean n=2

[tex]\\ \sf\longmapsto |S|^n[/tex]

[tex]\\ \sf\longmapsto 6^2[/tex]

[tex]\\ \sf\longmapsto 36[/tex]

what is 136 1/50% of 231

Answers

Answer:

Step-by-step explanation:

136 1/50 % of 231 = 6801/50 % * 231

                             [tex]=\frac{6801}{50*100}*231\\\\\\=\frac{1571031}{5000}[/tex]

                             = 314.2062

Which line is parallel to line r? line p line q line s line t

Answers

Answer:

I agree with the other person that Line S is the one parallel to line R.

Step-by-step explanation:

This is because they do not intersect each other and if they were to continue to go on forever, the lines would never intersect. Lines are parallel when they never intersect. Also, there are indication lines that show that the two lines are parallel, you see the arrows that are in the lines.

The line which is parallel to the line r will be line b

What is a line?

A line section that can connect two places is referred to as a segment.

In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

Parallel lines are those line which has the same slope or we can say the angle between the parallel line is always zero.

A parallel line is also called for the lines which do not intersect.

From the given question it is clearly visible that line q p t all are intersecting the line r and line s are not intersecting hence, line s will be parallel to the line r.

For more about line

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What is the solution to this system of equations? x+3y−z=6 4x−2y+2z=−10 6x+z=−12 (−4, 0, 12) (0, −2, −12) (2, 1, −3) (−3, 5, 6)

Answers

Answer:

Solution :  (− 3, 5, 6)

Step-by-step explanation:

We have the following system of equations that we have to solve for,

[tex]\begin{bmatrix}x+3y-z=6\\ 4x-2y+2z=-10\\ 6x+z=-12\end{bmatrix}[/tex]

To solve this problem we can start by writing the matrix with their respective coefficients --- (1)

[tex]\begin{bmatrix}1&3&-1&|&6\\ 4&-2&2&|&-10\\ 6&0&1&|&-12\end{bmatrix}[/tex]

Now we can reduce this to row echelon form, receiving our solution --- (2)

[tex]\begin{pmatrix}1&3&-1&6\\ 4&-2&2&-10\\ 6&0&1&-12\end{pmatrix}[/tex] Swap row 1 and 3,

[tex]\begin{pmatrix}6&0&1&-12\\ 4&-2&2&-10\\ 1&3&-1&6\end{pmatrix}[/tex] Cancel leading coefficient in row 3,

[tex]\begin{pmatrix}6&0&1&-12\\ 0&-2&\frac{4}{3}&-2\\ 0&3&-\frac{7}{6}&8\end{pmatrix}[/tex] Swap row 2 and 3

[tex]\begin{pmatrix}6&0&1&-12\\ 0&3&-\frac{7}{6}&8\\ 0&-2&\frac{4}{3}&-2\end{pmatrix}[/tex] Cancel leading coefficient in row 3

[tex]\begin{pmatrix}6&0&1&-12\\ 0&3&-\frac{7}{6}&8\\ 0&0&\frac{5}{9}&\frac{10}{3}\end{pmatrix}[/tex]

At this point you can see that we have to cancel the leading coefficient in each row, to row echelon form. Continuing this pattern we have the following matrix,

[tex]\begin{bmatrix}1&0&0&|&-3\\ 0&1&0&|&5\\ 0&0&1&|&6\end{bmatrix}[/tex]

As you can see, x = - 3, y = 5, and z = 6, giving us a solution of (− 3, 5, 6). This is the fourth option.

I NEED HELP ON THE PROBLEM!!! I WILL GIVE BRAINLIEST TO THE BEST ANSWER!!!!!

Answers

Answer:

A.) As x increases, the rate of change of g exceeds the rate of change of f

Step-by-step explanation:

Let's take the options given and look at them to actually know which is true.

Option A

We notice that as x increase in value the rate of change of g starts exceeding the rate of change of f.

Then it's exceeds it from the value x = 5

Option B

At x= 4.39

F= 2616.689

G= 2606.657

They are different values

Option C

That's opposite of option A

But option A is true which signify option C to be false

Option D

Not true also.

We can see from x= 0 to 4 the rate of change of F exceeds that of G

Please answer, I need help

Answers

Answer:

answer is 9

Step-by-step explanation:

p - ( q - (m +q) )

make m = 4

p = 5

q = 3

5 - ( 3 - ( 4+3) )

5 - ( 3 - 7 )

5 - - 4

= 9

Answer:

3

Step-by-step explanation:

This might look a bit confusing but its really simple when you break it down...

So what they're asking is to evaluate the problem (in other words, solve the problem.)

Step 1: Substitute the variables m = 4, p =5 and q = 3

P - (9 - (m+q)) OR

5 - (9 - ( 4 + 3)

Step 2 : Order of operation, solve in parenthesis first.

5 - (9 - ( 4 + 3))

        ( 9  -  7)

     5   -   ( 2 )

Step 3 : Solve

5 - 2 = 3

In the expression 2^3 the 2 is known as the


base

exponent

rational number

irrational number

Answers

Answer:

Hey there!

In this problem, 2 is known as the base.

Let me know if this helped :)

Answer:

The Base

Step-by-step explanation:

The base in a power is the number being raised to the exponent's power. It is the bigger number in the power.

2 is being raised to the third power. This means that 2 is the base of the power.

3 would be the exponent in the power.

Brainilest Appreciated.

A 3 liter bottle of juice costs $5.70
What is the unit price for 1 liter of juice?

Answers

Answer:

$1.90

Step-by-step explanation:

Divide 5.7 by 3 to get your answer.

[tex]\frac{5.7}{3}[/tex] = 1.9

Answer:

$1.90

Step-by-step explanation:

First, write out what you know.

So, you know that you have 3 liters.

Together, they cost $5.70.

You want to know the unit price, for 1 liter.

Therefore, you would divide $5.70 by 3:

[tex]\frac{5.70}{3}=\frac{1.90}{1}=1.90[/tex]

This means that the unit price, for 1 liter of juice, would be $1.90.

Which of the following would cause an increase in heat? freezing compression stirring friction

Answers

Answer:

Compression, stirring, and friction all increase heat

Step-by-step explanation:

I did a lesson on it and got it right

The size of a television screen is given as 95 cm, correct to the nearest 5 cm.
Write down the upper bound of the size of the television screen.

Answers

Answer:

U B = 100.5

Step-by-step explanation:

the upper bound of the size of the television screen= 95.5 since it is corrected to the nearest 5 then the U B =100.5 cm

The upper bound of the size of the television screen is 100.5 cm

The conversion of the size of the television screen to the nearest 5cm from the initial size of 95 cm is = 100 cm.

Now, the upper bound of the size of the television screen which is 100 is can be determined by the addition of a half value to 100 cm:

i.e.

= (1/2) + 100 cm

= 0.5 + 100 cm

= 100.5 cm

Therefore, we can conclude that the upper bound of the size of the television screen is 100.5 cm

Learn more about nearest value here:

https://brainly.com/question/16382026?referrer=searchResults

2, Nine people fit comfortably in a 3 ft. by 3 ft. area. Use this value to
estimate the size of a crowd that is 8 yards deep and 1 mile long.
Determine the Ratio? A
Ratio = 9 x (3x3). B
O Ratio = 9/3
C
Ratio = 9/(3x3)
D Ratio = 8/5280

Answers

The ratio for Nine people fit comfortably in a 3ft by 3ft area is [tex]\frac{9}{3X3}[/tex]

Option C [tex]Ratio =\frac{9}{3X3}[/tex]

Size of crowd: [tex]\frac{9}{3 \cdot 3} \cdot 24 \cdot 5280[/tex]

Given :

Nine people fit comfortably in a 3 ft. by 3 ft. area

To find : we need to estimate the size of a crowd that is 8 feet deep and 1 mile long. we need to determine the ratio as well

Ratio = number of people / total area

[tex]Raio=\frac{9}{3X3}[/tex]

To find the size of the crowd , convert yards into feet and mile into feet

1 yard = 3 miles

8 yards= 3 times 8 = 24 feet

1 mile = 5280 feet

Now we find the area in feet

[tex]24 \cdot 5280[/tex]

size of the crowd=ratio times the area in feet

[tex]\frac{9}{3 \cdot 3} \cdot 24 \cdot 5280[/tex]

Learn more : brainly.com/question/24367786

For what real numbers x is x 2 − 10 x + 25 negative?

Answers

Answer:

no real numbers

Step-by-step explanation:

x^2 − 10 x + 25

Factor

What 2 numbers multiply to 25 and add to -10

-5*-5 = 25

-5+-5 = -10

( x-5) (x-5)

This touches the graph at x =5

The parabola is positive so there are no values where the graph is negative

Answer:

No real solutions

Step-by-step explanation:

Part 1: Factoring the quadratic

The equation is in quadratic form - ax² + bx + c = 0.

Therefore, we can use a factoring technique to solve for x. I will use the quadratic formula - [tex]x=\frac{-b \pm \sqrt{b^{2}-4ac} }{2a}[/tex].

[tex]x=\frac{-(-10)\pm \sqrt{(-10)^{2}-4(1)(25)} }{2(1)}\\\\x=\frac{10\pm\sqrt{100-4(25)} }{2}\\\\x=\frac{10\pm\sqrt{100-100}}{2}\\\\x=\frac{10\pm\sqrt{0}}{2}\\\\x=\frac{10\pm0}{2}\\\\x=\frac{10}{2}\\\\\boxed{x=5}[/tex]

Part 2: Using discriminant to determine roots

Because the discriminant (square root portion of formula) was equivalent to zero, this is the only solution that proves the equation correctly. Therefore, there is no possible negative value that can be substituted for x  without altering the final value that the equation is equal to.

What is the least common multiple of all positive integers smaller than 8?

Answers

Answer:

420

Step-by-step explanation:

We need to find the LCM of 1, 2, 3, 4, 5, 6 and 7. The LCM of 1, 2, and 4 is 4 and the LCM of 3 and 6 is 6 so the list becomes the LCM of 4, 5, 6 and 7. The LCM of 4 and 5 is 20, the LCM of 20 and 6 is 60 and the LCM of 60 and 7 is 420.

Answer:

420

Step-by-step explanation:

Prime factorization:

7 = 7

6 = 2 × 3

5 = 5

4 = 2 × 2

3 = 3

2 = 2

1 =  1

LCM: 7, 6, 5, 4, 3, 2, 1

2 × 2 × 3 × 5 × 7  = 420

Dave solved a quadratic equation. His work is shown below, with Step 111 missing. What could Dave have written as the result from Step 111? \begin{aligned} \dfrac{1}{3}(x+4)^2&=48 \\\\ &&\text{Step }1 \\\\ x+4&=\pm 12&\text{Step }2 \\\\ x=-16&\text{ or }x=8&\text{Step }3 \end{aligned} 3 1 ​ (x+4) 2 x+4 x=−16 ​ =48 =±12 or x=8 ​ Step 1 Step 2 Step 3 ​ Dave solved a quadratic equation. His work is shown below, with Step 111 missing. What could Dave have written as the result from Step 111? \begin{aligned} \dfrac{1}{3}(x+4)^2&=48 \\\\ &&\text{Step }1 \\\\ x+4&=\pm 12&\text{Step }2 \\\\ x=-16&\text{ or }x=8&\text{Step }3 \end{aligned} 3 1 ​ (x+4) 2 x+4 x=−16 ​ =48 =±12 or x=8 ​ Step 1 Step 2 Step 3 ​

Answers

From the calculation above, Dave may have jumped the expression

[tex](x+4)^2= 144[/tex]

Given the expression solved by Dave from step 1 as;

[tex]\dfrac{1}{3}(x+4)^2&=48[/tex]

In order to determine what Dave would have written, we will solve the expression above as shown

[tex]\dfrac{1}{3}(x+4)^2&=48\\(x+4)^2 = 3*48\\(x+4)^2 = 144 ..............eqn \ 2\\[/tex]

Take the square root of both sides

[tex]\sqrt{(x+4)^2} =\pm\sqrt{144}\\x+4=\pm12[/tex]

Hence from the calculation above, Dave may have jumped the expression in equation 2 as shown below;

[tex](x+4)^2= 144[/tex]

Learn more on radical equations here: https://brainly.com/question/20931859

Answer:

previous answer is correct

Step-by-step explanation:

Help plzzz... circle geometry question.

Answers

Answer:

IU = 161

Step-by-step explanation:

Angle Formed by Two Secants=  1/2 (difference of Intercepted Arcs)

42 = 1/2 (7m+5 - (3m-1))

Distribute the minus sign

42 = 1/2 (7m+5 - 3m+1))

Combine like terms

42 = 1/2 ( 4m+6)

Distribute the 1/2

42 = 2m+3

Subtract 3 from each side

42-3 = 2m+3-3

39 = 2m

Divide by 2

19.5 = m

The sum of the arcs = 360

IU+ 3m-1 + 7m+5 = 360

IU +10m+4 = 360

IU +10(19.5) +4 = 360

IU +195+4 = 360

IU = 360 - 199

IU=161

Find a101 of the sequence 5,8,11,

Answers

Answer:

305

Step-by-step explanation:

This sequence es the sum of 3

5+3 =8

8+3 = 11

then

101 = 100 + 1

the fisrt date is 5

the another 100:

100*3 = 300

300 + 5 = 305

a police car drives a constant speed of 64 mph.how far can it travel in 2 hours​

Answers

ABCDEFGHIJKLMNOPQRSTUVWXYZ

Nala has 'n' marbles. Paul has three times as many marbles as Nala. Nala loses 5 marbles and Paul buys 10 marbles. Together they now have 105 marbles. Write down and solve an inequality in 'n'

Answers

Answer:

Step-by-step explanation:

Nala's marbles = n

Paul's marbles = 3n

nala loses 5 marbles

so nala's marbles = n - 5

paul buys 10 marbles

so paul's marbles = 3n + 10

Total marbles = 105

so,

n - 5 + 3n + 10 = 105

By transposing,

n + 3n = 105 - 10 + 5

4n = 100

n = 100 / 4

n = 25

Hope this helps

plz mark as brainliest!!!!!!!

a pack of 4 choclates cost 1.80 pounds how much is the price per unit

Answers

Answer:

0.45p

Step-by-step explanation:

4 chocolates = £1.80

1 chocolate =  x

x= 1.80× 1 = 1.80÷4 = 0.45p

1 = 0.45p

I HOPE THIS HELPED :)

15 decreased by twice a number

Answers

Answer:

Hello! I hope I am correct! (Picture below)

Step-by-step explanation:

Function:

Y=15-2x

The word “decreased” means subtraction & The word “twice” means 2x (2 times)

Therefore, the answer is 15-2x.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Look at picture.

Brainliest would be appreciated!

Hope this helps!

By: BrainlyAnime

Use a calculator to find the mean of the data. {20.9, 24.6, 20.3, 24, 20.9, 24.9, 22.4,
23.5, 21.9, 21.9, 22.3, 21.2, 19.9, 23.2, 23.1, 21.6, 24, 20.8, 24.2, 20.1, 22.9, 25}

Answers

Answer:

The mean will be 22.436363636364.. or 22.4 (rounded to the nearest tenth)

you add them then divide by 22 since it has 22 terms, to find the mean

Answer:

use a calculator and add all values and divide by 22

u et final value as ( as per me not sure..maybe mistake) is

493.6/22 and ans Is 22.4363636364

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