A triangular prism is 19 yards long and has a triangular face with a base of 18 yards and a height of 12 yards. The other two sides of the triangle are each 15 yards. What is the surface area of the triangular prism?

Answers

Answer 1

Answer:

1128 Yard²

Step-by-step explanation:

From the question,

The surface area of a triangular prism is

A = bh+H(a+b+c)...................... Equation 1

Where a = First side of the triangular face, b = base of the triangular face, c = the other side of the triangular face, H = heigth of the prism, h = height of the triangular face

Given: a = 15 yard, b = 18 yards, c = 15 yards, h = 12 yards, H = 19 yards.

Substitute these values into equation 1

A = (18×12)+ 19(15+15+18)

A = 216+19(48)

A = 216+912

A = 1128 Yard²

Hence the surface area of the triangular prism is 1128 yard²


Related Questions

What is -6x+4(-2x+8y)-2y+4

Answers

Answer:

-14x + 30y + 4

Step-by-step explanation:

-6x + 4(-2x + 8y) - 2y + 4

take out the parentheses

4(-2x + 8y) = -8x + 32y

-6x - 8x + 32y - 2y + 4

solve for the x's then y's

-6x - 8x = -14x

32y - 2y = 30y

you are done

-14x + 30y + 4

Match these items.

1 .
friction
a force causing rotation
2 .
efficiency of lever
highly efficient 1st class lever
3 .
torque
output divided by input
4 .
streamlined shaped
reduces friction on airplane
5 .
equal-arm balance
loss of energy

Answers

Answer:

4 streamlined shapes reduces friction on airplane

A streamlined shape reduces friction on an airplane. The correct statement is 4.

What is decision-making?

The process of making choice is by identifying the correct decision, gathering information, and assessing alternative solutions.

To determine the correct statement will be

1. Friction is a force causing rotation.

The statement is incorrect because the cause of rotation is force.

2. Efficiency of the lever is a highly efficient 1st class lever.

The statement is incorrect.

3. Torque is output divided by input.

The statement is incorrect because the output divided by input is known as productivity.

4. Streamlined shape reduces friction on an airplane.

The statement is correct.

5. Equal-arm balance loss of energy.

The statement is incorrect.

More about the decision-making link is given below.

https://brainly.com/question/3369578

#SPJ2

A point is chosen at random on AK. What is the probability that the point will be on overline CD ? Don't forget to reduce.

Answers

Answer:

[tex]P(CD) = \frac{1}{10}[/tex]

Step-by-step explanation:

Given

[tex]AK = 10[/tex]

See attachment for line AK

Required

Probability of choosing CD

From the attachment:

[tex]CD=D-C[/tex]

[tex]CD=3 - 2[/tex]

[tex]CD = 1[/tex]

So:

[tex]P(CD) = \frac{CD}{AK}[/tex]

[tex]P(CD) = \frac{1}{10}[/tex]

(3+7i)+(-5+2i)-(-7+6i)

Answers

i believe that the answer to your question is 5 + 3 i?

Triangle JKL is similar to triangle MNO. Find the measure of side OM. Round your answer to the nearest tenth if necessary.

Answers

Answer:43.1

Step-by-step explanation:

Answer:

x=18.5

Step-by-step explanation:

\frac{\color{steelblue}{KL}}{\color{indianred}{LJ}}=

LJ

KL

=

\,\,\frac{\color{steelblue}{NO}}{\color{indianred}{OM}}

OM

NO

\frac{Blue}{Red}=\frac{Blue}{Red}

Red

Blue

=

Red

Blue

\frac{58}{43}=

43

58

=

\,\,\frac{25}{x}

x

25

Substitute

58\cdot x=

58⋅x=

\,\,25\cdot 43

25⋅43

Cross Multiply

58x=

58x=

\,\,1075

1075

Multiply

x=

x=

\,\,18.534482...

18.534482...

Divide

x\approx

x≈

\,\,18.5

18.5

Three cities form a triangle. Tom measures the distances between the three cities on a map. The distances between the three cities are 45 miles, 56 miles, and 72 miles. Is the triangle formed by the three cities a right triangle?

Answers

Answer:

Nope. Does not satisfy pythagoras theorem

Step-by-step explanation:

72 squared does nit equal 45 squared plus 56 squared

The quotient of 50 and 5 subtracted from 20 (move numbers and symbols to the line to show the phrase as a numerical expression)

Answers

The value of the quotient of 50 and 5 subtracted from 20 that can be given as 10.

What is subtraction?

It simply means to deduct something from the object or number of group, place, etc. Subtraction means to take away from the group or a number of objects.

Firstly, we have the quotient of 50 and 5. This can be written as

[tex]\dfrac{50}{5}[/tex]

And we know that this can be written as 10.

Now we subtract it from 20. Then we have the number 20 and we subtract 10 from it. Then it can be written as

20 - 10

On subtracting, we have

20 - 10 = 10.

More about the subtraction link is given below.

https://brainly.com/question/4319655

Which of these linear equations best describes the given model? Choose 1 answer: Choose 1 answer: (Choice A) A \hat y=10x+20 y ^ ​ =10x+20y, with, hat, on top, equals, 10, x, plus, 20 (Choice B, Checked) B \hat y=20x+20 y ^ ​ =20x+20y, with, hat, on top, equals, 20, x, plus, 20 (Choice C) C \hat y=-20x+20 y ^ ​ =−20x+20y, with, hat, on top, equals, minus, 20, x, plus, 20 Based on this equation, estimate the score for a student that spent 3.83.83, point, 8 hours studying.

Answers

Question:

Which of these linear equations best describes the given model? Choose 1 answer:

Choose 1 answer:

A [tex]\hat y=10x+20[/tex]

B [tex]\hat y=20x+20[/tex]

C [tex]\hat y=-20x+20[/tex]

Based on this equation, estimate the score for a student that spent 3.8 hours studying.

Answer:

[tex]\hat y = 20x +20[/tex]

Score of 96 for studying 3.8 hours

Step-by-step explanation:

Given

See attachment for graph

From the straight line of trend, we have:

[tex](x_1,y_1) = (0,20)[/tex]

[tex](x_2,y_2) = (2,60)[/tex]

The slope (m) is:

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

[tex]m = \frac{60 - 20}{2 - 0}[/tex]

[tex]m = \frac{40}{2}[/tex]

[tex]m = 20[/tex]

The equation is calculated using:

[tex]\hat y = m(x - x_1) + y_1[/tex]

This gives:

[tex]\hat y = 20(x - 0) +20[/tex]

[tex]\hat y = 20(x ) +20[/tex]

[tex]\hat y = 20x +20[/tex]

Solving (b): When study hours is 3.8

This means that [tex]x= 3.8[/tex]

So:

[tex]\hat y = 20x +20[/tex]

[tex]\hat y = 20 * 3.8 + 20[/tex]

[tex]\hat y = 96[/tex]

besties i need help again btw it's not -48 hdhd

Answers

Step-by-step explanation:

-6 / 24/3

= -6 x 3/24

= -18/24

= -6/8

= -3/4

A gallon of paint covers 20 ft of surface area. How many revolutions can an 8 in, wide paint roller with a diameter of 3 in make before using up a 5.
gal can of paint?
A about 127
B about 382
C about 600
D about 191

Answers

Answer:

D. about 191 ayan ang answer d.

5) Choose the graph which represents the solution to the inequality:
5<-5+2x

Answers

Where is the Graph.

Step-by-step explanation:

LOL

The use of the internet is constantly growing. How many randomly selected adults must be surveyed to estimate the percentage of adults in the United States who now use the internet? Assume we want to be 99% confident that the sample percentage is within 2 percentage points of the true population percentage.
a) Assume that nothing is known about the percentage of adults using the internet.






b) Assume it was estimated that 72% of adults in the United States use the internet.

Answers

Out of those 2 answers I believe your answer would be B only because 81% of Americans in the us have a phone and 35% of people in the us check there phone more than 50 times per day

A meteorologist reports that the chance of snow is less than 30%. The correct inequality to represent this comparison is s < 30. The variable s represents the likelihood of snow. Which numbers are solutions of the inequality? Choose all that apply. 20% 35% 17% 30% 29 and one-half percent% 1.5%

Answers

Answer: 20%, 17%, 29%, 1.5%

Step-by-step explanation:

Given

The likelihood of rain is given by the inequality

[tex]s<30[/tex] i.e. solution to this inequality is less than 30%

So, among the given values, the following are the solution

20%, 17%, 29%, 1.5%

These values are less than 30%; therefore, they are the solution

Answer:

20%, 17%, 29 1/2%, and 1.5%.

Step-by-step explanation:

good luck on your other work

I need help on this please!

Answers

Answer:

H, G, F, E

Step-by-step explanation:

If it isn't it's G, H, F, E

Hope this helps

A line with a slope of 1 passes through the point (8,6). What is its equation in slope-intercept form?

Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

y=x-2

Step-by-step explanation:

y-y1=m(x-x1)

y-6=1(x-8)

y-6=1x-8

y=1x-8+6

y=1x-2

Find the area of four walls of a room (Assume that there are no doors or windows) if its length 12 m., breadth 10 m. and height 7.5 m. ?​

Answers

Answer:

Refer to the attached file

Hope it helps..

Have a great day : )

Pls help it’s due soon and I’m failing :(

Answers

Answer:

Slope is 2/3

Y-intercept is (0, 0)

Step-by-step explanation:

y = mx + b

    m = slope

    b = y-intercept

y = 2/3x

Answer:

Slope is 2/3

y intercept is 0

Step-by-step explanation:

What is the distance between the points (-4,5) and (8,9)​

Answers

I hope this is what you were looking for.

work out 11. 28- 2.843​

Answers

Answer:

25.157

Step-by-step explanation:

28-2.843=25.157

1,5,9,13. what's the 8th 13th 17th and 23rd term​

Answers

Answer:

8th 29

13th 53

17th 69

23rd 91

What is the total area of the shape?
124 inches squared
100 inches squared
21 inches squared
39 inches squared

Answers

Answer:

51 in.

Step-by-step explanation:

:]

Answer:

124 inches square

Step-by-step explanation:

First area of that rectangle 20×5 = l×b = 100

Second area of that triangle 6×8×1/2 = 24

Third add both rectangle+triangle=100+24=124


1
-0.4 3 0 8 I have to show all my work this question

Answers

Answer:

0.5462

Step-by-step explanation:

A giraffe is 5 meters 20 centimeters tall. An elephant is 1 meter 77 centimeters shorter than the giraffe. A rhinoceros is 1 meter 58 centimeters shorter than the elephant. How tall is the rhinoceros?

Answers

Answer:1 meter and 58 centimeters

what is the diameter of the circle: (x-4)^2+(y-2)^2=9 ?

Answers

Answer:

The diameter is 6

Step-by-step explanation:

the answer is 6.....

Which answer choice correctly represents an algebraic expression for the quotient of a number and 9?
A. 9j
B. j ÷ 9
C. j – 9
D. 9 + j

Answers

B) j ÷ 9
Step-by-step explanation:
The word quotient means division.
A) is multiplication
B) is division so it is the right answer
C) is subtraction
D) is addition
B. Because u divide then multiply

Given the 2 similar triangles, what is the length of LK?

Answers

Answer:

7.5

Step-by-step explanation:

the term similar triangles means they have the same angles and the same scale factor so if we look at rs and jl you see they are 12 and 6. thats is a scale factor of .5 so you take 15 and multiply it by .5 or you can divide it by 2.

Which unit rate is equivalent to 13 miles per gallon? Pls help!!!

Answers

Answer:

twenty-six miles over two gallons because the proportion for the original 13 miles to one gallon would be written 13/1 and, doing the same thing to the top and bottom, i multiplied by 2 and got 26/2

twenty six miles over two gallons

Cole wants to buy carpet to cover his whole living room, except for the tiled floor. The tiled floor is 4 5 6 ft by 2 1 3 ft. Find the area the carpet needs to cover. Solve on paper. Then check your work on Zearn. 711 1 3 tiled floor The carpet needs to cover ft2.

Answers

Answer:

[tex]Area = 49\frac{25}{36}[/tex]

Step-by-step explanation:

Given

Tile

[tex]Length = 4\frac{5}{6}[/tex]

[tex]Width = 2\frac{1}{3}[/tex]

See attachment for dimension of the floor

Required

Determine the area covered by the carpet

From the attachment, the dimension of the floor is:

[tex]Length = 12\frac{1}{4}[/tex]

[tex]Width = 5[/tex]

Calculate Area

[tex]Area = Length * Width[/tex]

[tex]Area = 12\frac{1}{4} * 5[/tex]

[tex]Area = 61\frac{1}{4}[/tex]

The area of the tiles is:

[tex]Area = 4\frac{5}{6} * 2\frac{1}{3}[/tex]

[tex]Area = \frac{29}{6} * \frac{7}{3}[/tex]

[tex]Area = \frac{203}{18}[/tex]

[tex]Area = 11\frac{5}{18}[/tex]

So, the carpet area is:

[tex]Area = Floor\ Area - Tile\ Area[/tex]

[tex]Area = 61\frac{1}{4} - 11\frac{5}{18}[/tex]

To improper number

[tex]Area = \frac{245}{4} - \frac{208}{18}[/tex]

Take LCM

[tex]Area = \frac{2205 - 416}{36}[/tex]

[tex]Area = \frac{1789}{36}[/tex]

[tex]Area = 49\frac{25}{36}[/tex]

Find the equation of the line.

Answers

Answer:

Step-by-step explanation:

Which postulate, if any can be used to prove the triangles congruent

Answers

Answer:

sss

Step-by-step explanation:

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