Find the surface area of the equilateral triangular prism below.

Find The Surface Area Of The Equilateral Triangular Prism Below.

Answers

Answer 1

Answer:

Area of a triangle = bh/2

Area of a rectangle = bh

The area of the triangles are the same, the area of the rectangles are the same.

triangle: 9x8/2

72/2 = 36

Rectangle: 8x14=112

There are 2 triangles and 3 rectangles so,

2(36)+3(112)

72+336= 408 in²


Related Questions

Write a numerical expression to represent the phrase.

5 more than the product of 12 and 8

Answers

Answer:

(12x8) + 5

Step-by-step explanation:

The product of 12 and 8 would be multiplication, so you can represent that as. (12x8) or 12x8.

Hello!

First of all, "the product" of 2 numbers means you multiply these 2 numbers.

Then, "5 more" means we add 5.

This is how the phrase "5 more than the product of 12 and 8" is written as a numerical expression:

(12×8)+5

[In case you need to simplify it]

96+5

101

Hope everything is clear.

Let me know if you have any questions!

Always remember: Knowledge is power!


[tex] \sf \large \: find \: \frac{dy}{dx} \: if \: x=a ( \Theta + sin \Theta ) , y= a (1- Cos \Theta ) \: at \: \Theta = \frac{π}{2} \\ \\ \\ \\ \\ [/tex]

Kindly Don't Spàm!
Thanks!!!!​

Answers

Given :

[tex] \: \: \: [/tex]

[tex] \rm \large \: x = a ( \Theta + Sin \Theta )[/tex]

[tex] \: \: \: [/tex]

[tex] \rm \large y = a ( 1 - cos \: \Theta )[/tex]

[tex] \: \: [/tex]

Now , x = a ( θ + sin θ )

[tex] \: \: [/tex]

Diff w.r.t " θ "

[tex] \: \: \: [/tex]

[tex] \rm \large\frac{dx}{dθ } = a \: \frac{d}{dθ} (θ + \sin\theta )[/tex]

[tex] \: \: [/tex]

[tex] \boxed{ \rm \large\underline{ \frac{dx}{d \theta} = a(1 + \cos \theta ) }}[/tex]

[tex] \: \: [/tex]

Now y = a ( 1-cosθ)

[tex] \: \: [/tex]

Diff w.r.t " θ " we get .

[tex] \: \: [/tex]

[tex] \rm \large \frac{dy}{d \theta} = a \frac{d}{d \theta} (1 - cos \theta) [/tex]

[tex] \: \: \: [/tex]

[tex] \boxed{ \rm \large \underline{ \frac{dy}{d \theta} = a \sin \theta}}[/tex]

[tex] \: \: \: [/tex]

From eqn ( 1 ) & ( 2 )

[tex] \: \: [/tex]

[tex] \rm \large \frac{dy}{dx} = \frac{ \frac{dy}{d \theta} }{\frac{dx}{d \theta}} [/tex]

[tex] \: \: \: [/tex]

[tex] \: \: \: \rm \large = \frac{ \cancel{a} \: sin \theta}{ \cancel a \: (1 + cos \theta)} [/tex]

[tex] \: \: [/tex]

[tex] \rm \large \: = \frac{sin \theta}{1 + \cos \theta } [/tex]

[tex] \: \: \: [/tex]

[tex] \rm \large \: \frac{2 \sin( \frac{\theta }{2} ) cos\frac{\theta }{2} }{2 \: cos ^{2} \frac{\theta }{2}} \: \: ......(sin \: a \: = 2 \: sin \frac{a}{2} \: cos \frac{a}{2} 1 + \: cos \: a \: = 2cos ^{2} \frac{a}{2} )[/tex]

[tex] \: \: [/tex]

[tex] \rm \large \: \frac{dy}{dx} = \frac{sin \frac{ \theta}{2} }{cos \frac{ \theta}{2} } [/tex]

[tex] \: \: [/tex]

[tex] \rm \large \: \frac{dy}{dx} = tan \frac{ \theta}{2} [/tex]

[tex] \: \: [/tex]

[tex] \rm \large \: ( \frac{dy}{dx} ) = tan \frac{ \frac{ \theta}{2} }{2} [/tex]

[tex] \: \: [/tex]

[tex] \rm \large \: = tan( \frac{ \theta}{4} )[/tex]

[tex] \: \: [/tex]

[tex] \boxed{ \rm \large \underline{ ( \frac{dy}{dx} ) = \frac{\pi}{2} = 1}}[/tex]

[tex] \: \: [/tex]

Hope Helps!:)

For a ride on a rental scooter, Felipe paid a $2 fee to start the scooter plus 12 cents per minute of the ride. The total bill for Felipes ride was $22.28. For how many minutes did Felipe ride the scooter?

Answers

Answer:

169 minutes

Step-by-step explanation:

First, deduct the fee:

22.28 - 2 = 20.28

Change the dollars into cents:

20.28 x 100 = 2028

Then divide the amount by 12 cents:

2028 / 12 = 169.

He rode it for 169 minutes or 2 hours and 49 minutes

Find the area of the circle

Answers

Step-by-step explanation:

78.50 in^2 I am pretty sure

Answer:

78.50 in squared

Step-by-step explanation:

To find the area of a circle, you need to use the equation area = pi * r^2, or pie multiplied by the radius squared. The radius is half of the diameter, which means the radius is 5. 5 squared is 25. Pi times 5 is about 78.50 inches squared.


what is (x^-2 y^10)^2/x^5 y^-3 using only positive exponents

Answers

Answer:

[tex] \frac{(x^{ - 2}{y}^{10})^{2} }{ {x}^{5} {y}^{ - 3} } \\ \frac{ {x}^{ - 4} {y}^{20} }{ {x}^{5} {y}^{ - 3 } } \\ {x}^{ - 9} {y}^{23} \\ \frac{ {y}^{23} }{ {x}^{9} } \\ ans \: c[/tex]

)Sammy is trying to determine how many triangles she can create out of a square grid that has a side of 10 inches. Use the image below to determine the area of the triangle and how many she can cut out.

Answers

Answer:

types of waves in physics


I need the answer please

Answers

Answer: sqrt(182)

Step-by-step explanation:

The perimeter of the triangular park shown on the right is 15x+2 . What is the missing​ length? The other two lengths are 5x-1 and 4x+4

Answers

Answer:

6x - 1

Step-by-step explanation:

Side 1: 5x - 1

Side 2: 4x + 4

Side 3: Unknown, y

Perimeter: 15x + 2

Perimeter = Side 1 + Side 2 + Side 3

15x + 2 = 5x - 1 + 4x + 4 + y

15x + 2 = 9x + 3 + y

6x - 1 = y

y = 6x - 1

Side 3 = 6x - 1

What is 9 to the of 3

Answers

Answer:

729

Step-by-step explanation:

3.
The height of a triangle is 4 inches shorter
than its base. The area of the triangle is 198
square inches. Find the dimensions of the
triangle

(system of equation) only 2 please thanks

Answers

Answer:

Base is equal to 22

Hight is equal to 18

Step-by-step explanation:

Because 22 × 18 ÷ 2 is equal to 198

Formula

Hight × base ÷ 2

Write a word problem to match the shaded fraction bar 3/4

Answers

Answer:

shaded part=3/4

unshaded part=1/4

Total=1

Help literally fast at possibly

Answers

Answer:

Yes you want to do it again soon

A food truck did a daily survey of customers to find their food preferences. The data is partially entered in the frequency table. Complete the table to analyze the data and answer the questions:


Likes hamburgers Does not like hamburgers Total
Likes burritos 38 77
Does not like burritos 95 128
Total 134 71


Part A: What percentage of the survey respondents do not like both hamburgers and burritos? (2 points)

Part B: What is the marginal relative frequency of all customers that like hamburgers? (3 points)

Part C: Use the conditional relative frequencies to determine which data point has strongest association of its two factors. Use complete sentences to explain your answer. (5 points)

Answers

Answer:

A:

18.5% 

B:

124 / 205

C:

75 / 113. 66.4% Strongest 

49 / 92. 53.2% Middle

38 / 81 46.9% Weakest

75  / 113 is the strongest because it has the highest percentage fore the  conditional relative frequencies. The others are weaker because they have as high of a percentage.

Step-by-step explanation:

The answers are shown below:

What is Conditional relative frequency?

A conditional relative frequency compares a frequency count to the marginal total that represents the condition of interest.

a) Out of 205 people, 38 like neither, hence:

Percentage= 38/ 205 *100= 18.54%

b) Out of the 205 participants, 205 - 81 = 124 like hamburgers, hence:

= 124 / 205

=0.6049

c)The table is, dis considering the totals:

49 - 43

75 - 38

Due to the higher total, the data that has the strongest association of its two factors is liking hamburgers and not liking burritos.

Learn more about this concept here:

https://brainly.com/question/28011510

#SPJ2

Jestions: 5
5. Which of the following fractions makes this statement true?
4
12
er
3
7
dio
2
7
4.
5
panol
7
12

Answers

Answer:

I believe 2/7

Step-by-step explanation:

When you make them the same denominator they look like 48/84 > 24/84 and that's how you get the answer

Help find tqs I’ll give brainlist

Answers

Answer:

91 degrees

Step-by-step explanation:

Angle RT = 46 degrees

Angle RU = 180 degrees

Angle RS = 89 degrees

So 46 + 89 = 135

180 - 135 = 45

So Angle UT = 45 degrees

Which means that Angle QR = 45 degrees also because they are vertical from each other

So you add 45 + 46 = 91

Angle TQS = 91 degrees

What is the five-number summary of this data set? {852, 687, 515, 986, 907, 784, 967, 685, 965} Drag the numbers into the boxes to correctly complete the five-number summary.

Answers

Answer:

Minimum: 515

Q1: 686
Q2: 852

Q3: 966

Maximum: 986

Step-by-step explanation:

I went to the store with $20. After buying all my groceries, I spent $15.87. How much money do I have left?

Answers

you would have 4.13 left

20-15.87=4.13

Answer:

The answer is $4.13

Step-by-step explanation:

It is easier to do this if we add two zeros at the end of 20 to make it 20.00 so the decimal places line up. Lets take it one place at a time. first is the hundreths, which is 0-7. This is not possible, so we borrow from the tenths, but the tenths is also a zero. The tenths zero has to borrow from the ones zero. Basically, the 2 in 20 becomes 1, and the zeros in the ones and tenths place become nines, and the last zero becomes 10. 10 minus 7 is 3, 9 minus 8 is 1, 9-5 is 4, and 1-1 is 0.

Hope this helps!

solve ps brainliest!

Answers

Answer:

W = 17

Step-by-step explanation:

Hi! Ok so the equation is: 24=2w-10

24=2w-10 First add =10 to each side

10+24= 2w +10 -10 the tens on the right cancel.

34=2w then divide each side by negative two

(34/2)=(2/2)w can be simplified to 17=w

I need help

Imagine that you designed a firework. When the firework first explodes, it splits into eight sparkles. Each of those sparkles then explodes and splits into eight new sparkles.

How many sparkles would the second explosion produce? Explain how you determined your answer.

Answers

Answer:

8 x 8 = 64

Step-by-step explanation:

Just including the second explosion, each of the 8 sparks bursts into 8, that means 8 sparks were produced 8 times, or 8x8

Answer:

1 sparkle Burst it produces 8 sparkles so you say 8×8×8×8×8×8×8×8

HELP!!!! I can’t figure this out

Answers

Answer:

A

Step-by-step explanation:

it takes 120 unit cubes to completely fill a rectangular prism. the prism is 10 units cubes high


how would i answer this ?

Answers

Answer:

12

Step-by-step explanation:

Well, I am pretty sure you are looking for the length.

Since area = length x width, I would say that you could divide as well.

120 = 10 x 12

I am pretty sure the length is 12.

:)

X2-7x+6; x2-5x-6 please help

Answers

Answer: (x−6)(x−1)(x+1)

Julio makes a scale drawing of the kitchen floor to determine how
many square feet of flooring he needs to buy. the scale of his drawing
is 1 inch:4 feet.
what is the area of julio's actual kitchen floor?
27
step 1 is to convert 3. to
step 2 is to convert 4. to
step 3 is to multiply each improper fraction by 4
step 4 is to multiply your answers to step 3 together to find the
answer

Answers

The scale drawing of Julio's kitchen would change the kitchen size

The actual area is 243 square feet

How to determine the actual area of Julio's kitchen?

The parameters are given as:

Length = 4.5 inchesWidth = 3.375 inches

Start by converting the dimensions to feet using the scale ratio

Actual length = 4.5 inches/ (1 inch/ 4 feet) = 18 feetActual width = 3.375 inches/ (1 inch/ 4 feet) = 13.5 feet

The area is then calculated as:

Actual Area = Actual length * Actual Width

This gives

Actual Area =18 feet * 13.5 feet

Evaluate the product

Actual Area = 243 square feet

Hence, the actual area is 243 square feet

Read more about scale drawings at:

https://brainly.com/question/8975579

(Use distributive property)
6 (5x + 3)

Answers

Answer:

30x + 18

Step-by-step explanation:

Using distributive property, you can find the answer like so.

Multiply 6 and 5x first

6(5x + 3)

30x + 3

Now multiply 6 by 3

6(5x + 3)

30x + 18

Hope I explained this well to you. :)

what will be the answer to 20 x 20

Answers

Answer:

400

Step-by-step explanation:

you can do 2x2 and you get 4 then add the zeros

If ur multiplying 20 by 20 it’s 400
Other wise I’m not sure if that’s the question you are asking

Type your answer into the box. Butter and flour are mixed in the ratio 2:3. Chris has 640 grams of butter and 880 grams of flour. How much more flour does he need? ​

Answers

Answer:

80 grams

Step-by-step explanation:

since butter & flour are in the ratio 2:3

2/5 = 640

then 3/5 = flour(?)

eliminate 5 since it is common so that

2= 640

3= x

cross multiply

x= 3 /2× 640

= 960

640 grams of butter needs to mix with 960grams of flour so that they can be in the ratio of 2:3

960-880 = 80

hence 80 more grams of flour are needed.

Please help I'm giving 40 points.

Answers

Answer:

Please see explanation

Step-by-step explanation:

look at the photo

Tina's teacher wrote 7/8 on the whiteboard. What percentage is equivalent to the fraction that Tina's teacher wrote on the whiteboard?

Answers

I think it's like 0.88, but I believe that's it rounded up.

Ramona went to a theme park during spring break she was there for 7 hours and rode 21 rides at what rate did I Ramona ride rides in rides per hour

Answers

Answer:

57393487

Step-by-step explanation:

un kilo por hora espero que te ayude

Answer:

3 rides/hour

Step-by-step explanation:

Not sure what ^^ guy was saying... And I don't understand why?

The correct answer is number of rides / hours.

21 / 7 = 3

(05.05)
Describe the y-intercept and end behavior of the following graph:

Answers

Answer:

Y-Intercept: (0,-8), End behavior: Asymptote

Step-by-step explanation:

The y-intercept is where the line crosses the y axis, which would be (0, -8). The end behavior looks like an asymptote, but I'm not sure of how you would answer this.

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