Find the surface area of the prism.

HEEEELP PLEASE!!!!!

Find The Surface Area Of The Prism.HEEEELP PLEASE!!!!!

Answers

Answer 1
Part I: Renaming the faces of the prism

Let the vertices of the prism be A, B, C, D, E, F, G, and H. (Refer to image).

From the image, we can tell that the faces of the prism are:

ABFG    HDCE     FBCE     GADH     GFEH    ABCD

Part II: Recalling the surface area formula

Surface area formula:

[tex]\text{Surface area = Sum of the area of it's faces}[/tex]

The faces are ABFG, HDCE, FBCE, GADH, GFEH, and ABCD (Previous Part)

[tex]\implies \text{SA = A(ABFG) + A(HDCE) + A(FBCE) + A(GADH) + A(GFEH) + A(ABCD)}[/tex]

Part III: Determining the surface area of the prism

If we look at the prism carefully, we can tell that:

ABFG = DCEH

GADH = FBCE

GFEH = ABCD

Therefore, the new equation is:

[tex]\implies \text{SA = 2[A(ABFG)] + 2[A(GADH)] + 2[A(GFEH)]}[/tex]

If we look carefully, we can see that GADH and ABFG are rectangles. Therefore, their areas will be length multiplied by width. Now, substitute the dimensions of the rectangles in the surface area.

[tex]\implies \text{SA} = 2[4 \times 4] + 2[2.5 \times 4] + \text{2[A(GFEH)]}[/tex]

The area of a parallelogram is the base multiplied by the height.

[tex]\implies \text{SA}= 2[4 \times 4] + 2[2.5 \times4] + 2[4 \times 2]}[/tex]

Finally, simplify the equation to determine the surface area.

[tex]\implies \text{SA} = 2[16] + 2[10] + 2[8][/tex]

[tex]\implies \text{SA} = 32 + 20 + 16[/tex]

[tex]\implies \boxed{\text{SA = 68 m}^{2} }[/tex]

Find The Surface Area Of The Prism.HEEEELP PLEASE!!!!!

Related Questions

Which of the following expressions is equal
to 4/5 x 7?

Answers

Answer:

15.75÷2.25

Step-by-step explanation:

I think it's that I'm not completely sure so yeah

Please help me with this!!!
(20 points + brainliest)

Answers

Answer:

the product

= (x+4)(x+5)

= x^2 + 5x + 4x +20

= x^2 + 9x + 20
hope this helps!!!

Answer:

x² + 9x + 20

Step-by-step explanation:

Applying Distributive Property :

(x + 4)(x + 5)x² + 4x + 5x + 20

Combining Like-Terms :

x² + (4 + 5)x + 20x² + 9x + 20

Lucy and her friends painted a giant picture.
They used 4 litres of paint.
All the paint came in 500 ml bottles.
The bottles cost £2.67 each.
Paint
500 ml
£2.67
What was the total cost of the 4 litres of paint they used?

Answers

Answer:

£21.36

Step-by-step explanation:

in one litre of any substance there is 1000ml and 500mlx2= 1litre

so it then requires 8 bottles

2.67 x 8 = 21.36

so there is the answer I hope it helped!

How do you write 1.8 × 10–3 in standard form?

Answers

It would be 15 in standard form

Answer:

0.0018

Step-by-step explanation:

A factory worker fills each container with 25 boxes of raisins. Each box has 1.33 ounces of raisins. If you buy 12 containers, how many ounces of raisins will you buy?

Answers

you would buy 399 ounces of raisins

Which of the folloyis equivalent to the expression below?
9x^2 + 30x + 25

Answers

Answer:

(3x-5) (3x-5)

Step-by-step explanation:

<33

I hate text limits!!

Options to question


257


254


256


255

Answers

Answer:

256

Step-by-step explanation:

You get the median by aligning all the numbers then start taking out the number from highest to lowest like this, 1, 2, 3, 4, 5, you take out the 1 and the 5 then the 2 and the 4. The median in the end would 3.

Julie wants to randomly choose two out of three friends, Margarite, Anita, and Sasha, to go with her to a

concert. In which method does one of Julie's friends have more than a fair chance of being chosen?

Answers

Slip system can be used to give more than fair chances of selection where the number of slips for one is more than the other.

There are multiple ways of selecting random sample like tossing a coin, flipping a die, lottery system.

Describing a method which can be used to provide more than a fair chance of selection is as follows:

Julie has 3 friends, so make the total number of slips say n

where n is not a multiple of 3.  

If n is not a multiple of 3 then her 3 friends will not get an equal chance of being selected.

Consider n=5

She has 3 friends, so 2 slips has repeated names, thus creating more chance of being selected than the one who has name only on one slip.

Thus, this method may result in more chance of selection of one over other.

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#SPJ4

SOMEONE PLEASE HELP!!! ​HURRY

Answers

Answer:

Slope of the line DV = -1

Step-by-step explanation:

Let point D (-5, 1) be [tex](x_{1}, y_{1})[/tex]

Let point V (-1, -3) be [tex](x_{2}, y_{2})[/tex]

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Plug in the appropriate values,

[tex]m = \frac{-3-1}{-1-(-5)} = \frac{-4}{4} = -1[/tex]

slope equals -1

Dexter has four different coins in his pocket he randomly selects a coin from his pocket replaces it and select and a coin what is the probability that both coins are dimes?

Answers

Answer: 1/4

Step-by-step explanation:

ez

The label on a can starts 2.5 in below the lid. What
is the area of the label?

Answers

From the computation below, the area of the label is 707 Inches.

This calculation is carried out using the theorem of the area of curved shapes.

What is the Curved Surface Area of a Cylinder?

The formula for the Curved Surface Area of a Cylinder is given as:

                                               2 [tex]\pi[/tex] rh

                                              =  2 [tex]\pi[/tex] x 7.5 x 15.

This assumes that the label also ends at an equal distance from the top of the lid.  Hence 15in = 20 - (2.5 x2);

Recall that [tex]\pi[/tex] =  22/7, hence

= 2 x (22/7) x  7.5 x 15

= 707.142857143

Approximately, this equals; 707 Inches.

Hence, the area of the label = 707 inches.

Notice that the question is incomplete. From inference, however, the general calculation above contains the principles for calculating the area of a label.

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The value of x is -1/4. Order these expressions from least to greatest:
x, -1 divided by x, 1-x, x-1

Answers

Step-by-step explanation:

There two solutions. X can be zero cause anything divided by zero is undefined.

When dealing with positive numbers:

[tex]least \: to \: greatest \: for \: \: x \geqslant 1[/tex]

[tex] - \frac{1}{x} < \: \: 1 - x \: < \: \: x - 1 \: \: < x[/tex]

When dealing with negative numbers:

[tex]least \: to \: greatest \: for \: \: x < 0[/tex]

[tex] - x \: < x - 1 \: < - \frac{1}{x} \: < 1 - x[/tex]

Geometry helppppp plssss

Quadrilateral ABCD is inscribed in this circle
B
What is the measure of /A?
Enter your answer in the box

Answers

Answer:

Here,

x+2+3x+6 = 180 [ Sum of opposite angle of cyclic quadrilateral is Supplementary ]4x + 8 = 180 4x = 180 - 8x = 172/4x = 43

Now,

Angle A = 3 * 43 + 6= 129 + 6= 135

2/7 divided by 3/8 its for math class and I need the answer quick

Answers

Answer: 0.7619

Explanation: I used a calculator to get the answer, I’m extremely sorry if this is incorrect!
2/7 ÷ 3/8 = 16/21 How did we solve the problem above? When we divide two fractions, such as 2/7 ÷ 3/8, we flip the second fraction and then we simply multiply the numerators with each other and the denominator with each other.

We also simplify the answers to fraction problems whenever possible.

3. Find the center of the circle that can be circumscribed about EFG with E(6,4), F(6,2), and G(10,2).

A. (6, 4)
B. (8,3)
C. (3,8)
D. (4,2)

Answers

Step-by-step explanation:

The general form of the equation of a circle is

(x-a)^2 + (y-b)^2 = r^2   where the center is (a,b)

Plugging in the given values:-

(6 - a)^2 + (4-b)^2 = r^2    and

(6-a)^2 + (2-b)^2  = r^2

Subtracting:-

(4-b)^2 - (2 - b)^2  = 0

16 - 8b + b^ - (4 -4b + b^2) = 0

12 - 4b  = 0

-4b =  -12

b = 3

Similarly if we take the 2 points (6,2) and G(10,2)  and make two equations we can find the value of a

(6-a)^2 + (2-b)^2  = r^2

(10.a)^2 + (2-b)^2 = r^2    subtract::-

(6-a)^2 -(10-a(^2 = 0

this will give a = 8

so the center of the circle is  the poit (8,3)

B is the correct answer

Divide the following. Put
your answer in scientific
notation.
(3.4 X 10^-1) / (4)

Answers

Answer:

8.5 × 10-2

Step-by-step explanation:

I believe this is it


PLEASE HELP MEEEEEEE

Answers

Answer:

so as you see im in middle school but i can solvee it

Step-by-step explanation:

even im in 6th grade i do well with high school stuff ok now let me xplain you just read it carifully eamil your teacher ask for help and doneee your brain is working bam bam bam

IMAGE BELOW I WILL GIVE BRAINLIEST

Answers

Answer:

for L 2, 2 and for LM it is -8,8

Step-by-step explanation:

easy

Write the equation of the parabola in standard form.
Calculation Tip: Multiply out the squared term and distribute.
y=3(x-1)^2+2

Answers

I don’t know if that’s what you wanted but I hope I helped ;D (sorry for my bad english)

What is the quotient? startfraction 2 m 4 over 8 endfraction divided by startfraction m 2 over 6 endfraction

Answers

The Quotients of the given expression (2m + 4) / 8 divided by (m + 2)/6 would be 3/2.

What are the Quotients?

Quotients are the number that is obtained by dividing one number by another number.

Dividend ÷ Divisor = Quotients

(2m + 4) / 8 divided by (m + 2)/6

= (2m + 4) / 8 ÷ (m + 2)/6

= (2m + 4)/8 x (6 / (m + 2) )

= (m + 2)/4 x 6/(m + 2)

= 6/4

= 3/2

Thus, the quotients will be 3/2.

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PLS HELP
AND EXPLAIN
NO LINKS

Answers

Answer:

5/8 (Decimal 0.625)

Step-by-step explanation:

Equation with variables filled is: 1/2 + (3/4 - 5/8)

3/4 - 5/8 is 1/8

Equation is now 1/2 + 1/8

1/2 is also 4/8

4/8 + 1/8 = 5/8

The answer is 5/8.

Brainliest please?  

2) Suppose a certain type of bacteria reproduces continuously at a rate of 25% per minute. If the initial
amount of bacteria is 27.
a) Write an equation for the growth of bacteria over time.
b) How money bacteria will there be in 5 minutes? 1 hour?
c) How long will it take for the bacteria to reach a population of 10,000?

Answers

A) The equation for the growth of bacteria over time is : n(t) = 27(   [tex]e^{25t}[/tex])

B) The number of bacteria the would be in 5 minutes 1 hour is :

n(5mins) = 215.055 ,  n(1) = 1944132282109.422

C) The time it will take for the bacteria to reach a population of 10,000 is : t = 0.237 hours

Determine the Equation, number of bacteria and time taken

Applying the mathematical growth and decay modelling

a. n(t) = [tex]n_{0}[/tex] [tex]e^{rt}[/tex]

[tex]n_{0}[/tex] = initial amount of bacterial

[tex]e^{rt}[/tex] = exponent

r = rate

t = time

n(t) = 27(   [tex]e^{25t}[/tex])

b. for 5 minutes

converting 5 minutes to hours; we divide by 60 minutes

[tex]\frac{5}{60}[/tex] = 0.083 hour

n(5 mins) = 27(   [tex]e^{25t}[/tex])

n(5 mins) = 27(   [tex]e^{25 * 0.083}[/tex])

n(5 mins) = 27(   [tex]e^{2.075}[/tex])

n(5mins) = 27(   7.965)

n(5mins) = 215.055

For 1 hour we have

n(1) = 27(   [tex]e^{25t}[/tex])

n(1) = 27(   [tex]e^{25 * 1}[/tex])

n(1) = 27(   [tex]e^{25}[/tex])

n(1) = 27 * (72004899337.386)

n(1) = 1944132282109.422

c. How long will it take for the bacteria to reach a population of 10,000?

10000 = 27(   [tex]e^{25t}[/tex])

[tex]\frac{10000}{27}[/tex] = (   [tex]e^{25t}[/tex])

370.370 = (   [tex]e^{25t}[/tex])

㏑ (370.370 ) = ㏑ (   [tex]e^{25t}[/tex])

5.915 = 25t

[tex]\frac{5.915}{25}[/tex] = t

t = 0.237 hours

In conclusion this type of question can be done by mathematical modelling

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Clayton filled five containers with water each container holds 2 gallons and 2 quarts how many quarts of water does Clayton have

Answers

Answer:

30 quarts

Step-by-step explanation:

4 quarts = a gallon

4 quarts +2 quarts  = 6 quarts

5 containers*6 quarts(each)

5*6=30

SoMeone do this pleaseeeee

Answers

Answer:

0.33=33%

0.07=70%

5.43=543%

1.5%=1/5

3%=3

38%=3/8

Step-by-step explanation:

hope this helps if not please let me know

Which of the following shows an equivalent expression to
[(5-3). 12) if only the associative property was used to transform the expression?
А
[5. (3.12)]

[(5.12). 3)
C
[(3.5). 12]

Answers

The answer is C. (3 x 5) 12
Answer:The equivalent expression using associative property is Step-by-step explanation:Given expression is [(5.3). 12]We are asked to write a equivalent expression using associative propertyThe associative property states that you can add or multiply regardless of how the numbers are grouped. By 'grouped' we mean 'how you use parenthesis'. In other words, if you are adding or multiplying it does not matter where you put the parenthesisAssociative property is as follow:-a + (b + c) = (a + b) + c   { for Addition}(a x b) x c = a x (b x c)  { for multiplication}The given expression is [(5.3). 12], which can be written as

GIVING BRAINLIEST HELP NEEDED

Answers

The volume of the prism given its dimensions is equal to 160 cubic units.

What is the volume of the prism?

The given prism is made up of two prisms. The volume of the prism is the volume of the two shapes.

One of the prisms have the dimensions: 4 x 4 x 5.

Volume = 80

The other prism has the dimensions: 8 x 2 x 5.

Volume = 80

Volume of the prism = 80 x 2 = 160 cubic units.

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help me please 15 points

Answers

Answer:

I'(-4, -3)     J'(-4, -2)

K'(-2, -2)     L'(0, -4)    

Step-by-step explanation:

[tex]I(0,-3)\rightarrow I'(0-4,-3)\rightarrow I'(-4,-3)\\ J(0,-2)\rightarrow J'(0-4,-2)\rightarrow J'(-4,-2)\\ k(2,-2)\rightarrow k'(2-4,-2)\rightarrow k'(-2,-2)\\ L(4,-4)\rightarrow L'(4-4,-4)\rightarrow L'(0,-4)\\ \{Conversion\ principle\}[/tex]

I hope this helps you

:)

Which describes the system of equations below?

3x + 2y = –2
6x + 4y = 15

Answers

Answer: No solution

Step-by-step explanation:

       These two equations have parallel slopes and therefore no solution.

-> See attached for graph. Since there is no point of intersection, there is no solution.

GIVING BRAINLEST TO THE PERSON THAT CAN EXPLAIN HOW TO DO THIS THE BEST :)

Answers

Answer:

530 m²

Step-by-step explanation:

First of all we need to label the missing sides ,please check the figure I provided for that :

x = 37 - (10+ 15) = 37 - 25 = 12

z = 10

y = 2 × 10 = 20

The shade does area = area of the whole rectangle − the white area

                                    = 37 × 20 − [ (15×20)÷2 + (10×12)÷2 ]

                                    =  740      − [    150        +      60       ]

                                    = 740.      −               210

                                    = 530

how do u find law of conservation

Answers

Answer:

the total mass of the products is equal to the total mass of the reactants

Step-by-step explanation:

The sum of the relative formula masses of the reactants is equal to the sum of the relative formula masses of the products.

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