What is the total surface area of this triangular prism?

What Is The Total Surface Area Of This Triangular Prism?

Answers

Answer 1

Given :

A triangular prism .

To Find :-

The total surface area of the prism .

Solution :-

From the given figure we can see that the prism is made up of

2 triangular surfaces .3 rectangular surfaces .

And the base and height of each triangle is ,

base = 7 inch height = 5 inch

And the dimensions of each rectangle is ,

length = 13 inchbreadth = 6.1 inch

Therefore , the Total surface area is ,

→ TSA = 2( area of each ∆) +3(area of each rectangle)

→ TSA = 2 ( 1/2 * 7 * 5)in.² + 3(13*6.1) in.²

→ TSA = 2 * 35/2 in.² + 3* 79.3 in.²

→ TSA = 35 in.² + 237.9 in.²

TSA = 272.9 273 in.²

Hence the TSA of prism is 273 in.² .

I hope this helps.


Related Questions

use data to create a scatter plot 100 points

Answers

Answer:

Look at attached image

Step-by-step explanation:

Graph using (X, Y)

Hope this helps!

PLS MARK BRAINLIEST!!!

The sum of 75 and 45 is divided by 5 and the difference of quotient and 10 is multiplied by 2. (Ans: 28) (Hint:- Make mathematical expressions, then simplify) (Please solve my question)​

Answers

Answer:

((75 +45)÷5-10)×2

Step-by-step explanation:

Simplified:

((120÷5)-10×2

=(24-10) ×2

=14 ×2

=28

The line L1 is defined Ax + By = 3. The line L2 is defined by the equation Ax + By = 2. The line
L3 is defined by Bx − Ay = 1. Determine whether L1, L2 and L3 are parallel or perpendicular to each other.

Answers

Step-by-step explanation:

Line 1: Ax+By=3

By=-Ax+3

-> slope is -A/B

Line 2: Ax+By=2

By=-Ax+2

-> slope is -A/B

Line 3: Bx-Ay=1

Ay=Bx-1

-> slope is B/A

So lines 1,2 are parallel, and lines 1,3 and 2,3 are perpendicular

What is the volume of this sphere?
Use a 3.14 and round your answer to the nearest hundredth.
10 yd

Answers

[tex]=Solution,\\\\Diameter(d)=10yd\\\\Radius(r)=10yd/2=5yd\\\\Now,\\\\Volume=\frac{4}{3} \pi r^{3} \\\\Volume=\frac{4}{3} *\pi*(5yd)^{3} \\\\Volume=\frac{4}{3}*3.14*125yd^{3} \\\\Volume=523.33yd^{3}[/tex]

What is the measure of QS?

Answers

Check the picture below.

SOMEONE HELP ME PLEASE AND THANK YOU!!!!! :D :"(

Answers

Answer:

what are the drop down words.

A letter is randomly selected from the word ‘‘computer.’’ Find the
probability that the letter is
a. A ‘‘t’’.
b. An ‘‘o’’ or an ‘‘m’’.
c. An ‘‘x’’.
d. A vowel.


with solution please asap​

Answers

Step-by-step explanation:

a=> let t denote the number of t

n(t)=1

number of total letters, n(s) = 8

Now,

probability of getting t ,P(t)

= n(t)/ n(s)

= 1/8

b=> let o denote the number of o and

m

n(o)=2

number of total letters, n(s) = 8

Now,

probability of getting t ,P(o)

= n(o)/ n(s)

= 2/8

= 1/4

c=> let x denote the number of x

n(x)=0

number of total letters, n(s) = 8

Now,

probability of getting a x, P(x)

= n(x)/n(s)

= 0/8

= 0

d=> let v denote the number of vowel

letters

n(v)=3

number of total letters, n(s) = 8

Now,

probability of getting a vowel

letter,P(v) = n(v)/n(s)

= 3/8

I hope my answer was helpful

I need help asap please!!! "Find the measure of Arc AC in the figure below. Explain your answer by showing your steps or explain by writing 2-3 sentences. "

Answers

The angle measure of arc AC at the center of the circle is; 21°

Circle theorems

From the task content;

The angle subtended by the arc at the center of the circle is; (3x +9)°

The angle subtended by the arc on the circumference of the circle is; (3x -1.5)°

It follows that from circle theorems that; The angle subtended by an arc at the center of a circle is twice that which it subtends at the circumference.

Hence;

(3x +9)° = 2(3x -1.5)°

3x +9 = 6x -3

3x = 12

x = 4.

By substituting x= 4 into the expression; (3x +9)°

Hence, the angle subtended at the center of the circle is; 12+9 = 21°.

Read more on arcs;

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On many cell phones with GPS, an approximate location can be given before the GPS signal is received. This is done by a process called triangulation, which works by using the distance from two known points. Suppose there are two cell phone towers within range of you, located 6000 feet apart along a straight highway that runs east to west, and you know you are north of the highway. Based on the signal delay, it can be determined you are 5050 feet from the first tower, and 2420 feet from the second. Determine the angle, , between your line of sight to the first tower and the highway to the nearest tenth of a degree. (A calculator is needed for this question)

Answers

Answer:

it is A?? I'm not sure but Stan nct.....

The blue dot is at what value on the number line

Answers

Answer:

8

Step-by-step explanation:

It's counting by 2's

The number on the line is 8

Anyone know what's the answer to this -3(2x+4)>0

Answers

Answer:
-3(2x+4)>0
2x+4<0
2x<-4
X<-2

From the quadratic equation 3x² + X - 5 = 0, find alpha square plus beta square​

Answers

Answer:

  α² +β² = 3 4/9

Step-by-step explanation:

Assuming α and β are solutions to the equation, it can be factored as ...

  (x -α)(x -β) = 0

Expanding this, we get ...

  x² -(α +β)x +αβ = 0

Dividing the original equation by 3, we find ...

  x² +(1/3)x -5/3 ≡ x² -(α+β)x +αβ   ⇒   (α+β) = -1/3, αβ = -5/3

We know that the square (α+β)² can be expanded to ...

  (α +β)² = α² +β² +2αβ

  α² +β² = (α +β)² -2αβ . . . . . . subtract 2αβ

Substituting the values for (α+β) and αβ, we find the desired expression is ...

  α² +β² = (-1/3)² -2(-5/3) = 1/9 +10/3 = 31/9

  α² +β² = 3 4/9

A carpenter makes $24/hour and works a 40 hour week. The employer withholds $83 federa
tax, $74 FICA, and $41 state tax. The carpenter's take-home pay is

Answers

Answer:

762

Step-by-step explanation:

Since he makes 24 dollars a hour and he worked for a total of 40 hours that'll equal to 960 and when you subtract all the taxes away from his payment it'll equal to 762

The net income of the carpenter will be $762.

What is net income?

The amount paid by any company or industry to the employees after deductions of the several taxes is the net income.

Given that:-

A carpenter makes $24/hour and works a 40 hour week.The deductions are $83 federal tax, $74 FICA, and $41 state tax.

So the net income of the carpenter will be calculated as:-

Gross pay will be =  24   x  40  =  $960

Net income  =  960  -  (  83  +  74  +  41  )  =  $762

Hence the net income of the carpenter will be $762.

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Cereal is on sale this week. Is it a better buy to get the 10-ounce box for $1.86 or the 14-ounce box for $2.61?

A. 10-oz. box
B. 14-oz. box

Answers

Answer:

b 14oz .box

Step-by-step explanation:

10 oz cost 1.86

1 oz is .19 cents

14 oz cost 2.61

1 oz is .19 cents

so the for one oz is .19 cents for both of them

so chose 14 oz for 2.61 because it gives you more cereal for the same price per oz

a sprinter running in the olympics starts at the 0 meter mark and ends at the 400 meter mark. it took him 65 seconds to run this distance what is his velocity?

Answers

Answer:

I am not too sure but I think the answer would be 6

Step-by-step explanation:

What is the solution to the equation below?
-3 + square root 3x - 11 = 5

Answers

Answer:

25 is correct answer try it

Step-by-step explanation:

Answer:

25 is correct answer try it

squareroot (3x-11)^2=(5+3)^2

3x-11=64

3x=64+11

3x=75

x=25

HELP ASAP!!! ILL GIVE BRAINLY TO THE ONE THAT ACTUALLY HELPS ME!!!! PLEASE ASAP HELP NO JOKING! PLUS THERE IS 50 POINTS TO THE BRAINLIST

Question 4 (Essay Worth 10 points)
(06.05 MC)
Gina spins a penny 100 times and it lands head side up 38 times. Explain why Gina's experimental probability may be different from the theoretical probability of
spinning a coin

Answers

The random nature of the process is why Gina doesn't get the theoretical probability. If she were to repeat this experiment say 1000 or perhaps 10,000 times, then her experimental probability value should get closer to 1/2. It likely won't land *exactly* on 1/2 because again of the random nature of the outcomes.

For more information, check out the Law of Large Numbers.

Answer:

The theoretical probability of spinning a head = 1/2 = 0.5

Therefore, if Gina spins a penny 100 times, the theoretical number of times it will land head side up = 0.5 x 100 = 50 times

Gina's experimental probability is 38/100 = 0.38

Therefore, the experimental probability is less than the theoretical probability.

The main difference between experimental and theoretical probability is that experimental probability is based on the actual results of an experiment (gathered by experimenting repeatedly), whereas theoretical probability is based on possible outcomes based on assumptions.

If Gina continued to spin the penny, as the number of times she spun it increased, you would expect for the experimental probability to get nearer to the theoretical probability of 0.5.

Please help me solve this problem. Whoever answers right first will be brainliest

Answers

Answer:

100 waffles

Step-by-step explanation:

The recipe calls for 1/4 cups of cream.
What is the fraction of a pint do u need?

Answers

Answer:

Your answer is 1/8 pint.

Step-by-step explanation:

Since there are two cups for every one pint, this means that 1/4 a cup would equal 1/8 pint.

how do you calculate percentile in excel? How many students scored lower than 490?

Mean 540
2.5% Bound 400
97.5% Bound 680
Student's Score 490

Answers

Calculate rank percentile in Excel

To calculate the rank percentile of a list data, you can use a formula. Select a blank cell that you will place the rank percentile at, type this formula =RANK. EQ(B2,$B$2:$B$9,1)/COUNT($B$2:$B$9), press Enter key and drag fill handle down to calculate all rank percentiles.

can someone help me with this question, please?

Answers

Answer:

which question?

Step-by-step explanation:

I'm confused on what your trying to solve

Given f(x) = 4x - 6 and g(x) = f(2x), write an equation for g.

Answers

f(x)=4x-6

g(x) = f(2x)

Substitute 2x into the first equation, which you get

f(2x)=8x-6

So, g(x)=8x-6

The figure shows the construction of a line tangent to a circle from a point on the circle. From the diagram, which statement is true?
1. OP ≈ QR
2. P is the midpoint of OR
3. OQ+QP=QP + PR
4. PQ≈ PR

Answers

The required statement that is true for the given circle is PQ = PR. Option D is correct.

What is a circle?

A circle is a closed shape consisting of all points in a plane that are at a constant distance from a single fixed point called the center. The distance between the center and any point on the circle is called the radius, and the distance across the circle, passing through the center, is called the diameter.

Here,
From the figure,
QP = PR,

So P is the midpoint of QR,

Thus, the required statement that is true is PQ = PR. Option D is correct.

Learn more about circle here:

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Write the ratio statement as a fraction and reduce to lowest te
20 pounds to 45 ounces

Answers

Answer:

5/9

Step-by-step explanation:

fraction: 20/45

lcd of 25 and 45 is 5

25 ÷ 5 = 5

45 ÷ 5 = 9

therefore; 5/9

HELPPPPPPPPUJJJJ
PLEASEEEEEE

Answers

Answer (Left to right per row):

-1, 2, 4, 6, 6.9, 6.99, 6.999

Step-by-step explanation:

y is anything less than 7

Plss help i need it!

Answers

Answer:

A  

Hope this helps!

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Because a line segment does not have two arrows on the end and it does not have one arrow and it does not have nothing some the correct answer is A

Find two numbers whose sum is 15 and difference is 3.​

Answers

Answer:

The two numbers are 6 and 9

Step-by-step explanation:

Let the two numbers be x and y

x+y = 15

x-y = 3

Add the two equations together to eliminate y

x+y = 15

x-y = 3

----------------

2x = 18

Divide by 2

2x/2 = 18/2

x = 9

Now we can find y

x+y = 15

9+y = 15

y = 15-9

y = 6

The two numbers are 6 and 9

A class votes for their class president
Candidate A receives 21 votes, which is 60% of the vote.
What is the total number of students who voted?

Answers

Answer: 35

Step-by-step explanation:

The total number of students who voted is 35.

What is a percentage?

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

A class votes for their class president Candidate A receives 21 votes, which is 60% of the vote.

The total number of students who voted,

= 21 x100 / 60

= 2100/60

= 35

Therefore, 35 students voted.

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A rectangular football field is 64 meters wide and 100 meters long. A player runs from one corner of the
field in a diagonal line to the opposite corner.
How far did the player run?
Round your answer to the nearest meter.

Answers

x ≈ 118.7 m
(WORK SHOWN BELOW)

PLEASE HELP ME

Jane and Eric are helping their teacher buy supplies for a research project. Every student will get a bag with 2 pencils and 30 index cards.

The teacher gave Jane $17 to buy pencils from the school store. The pencils come in boxes of 12 and cost $1.69 per box.

Eric was given $19 to buy index cards at an office supply store. Index cards are sold in packs of 150 cards and cost $2.99 per pack.

Jane buys as many boxes of pencils as she can afford. Eric buys as many packages of index cards as he can afford. How many complete bags of supplies can they make?

Answers

Answer:

They can make 30 Bags total.

Step-by-step explanation:

Jane has $17. There are 12 pencils in each pack for $1.60.

Jane can bay 10 packs of 12 pencils for $16.9 or else she will go over the amount of money she has.

1.69 x 10 = 16.9

Eric has $19. There are 150 cards in one pack for $2.99.

Eric can bay 6 packs of 150 cards for $17.94 or he ill go over the amount of money he has.

2.99 x 6 = 17.94

Eric.

150^6 = 900

900/30 = 30

Jane.

12^10 = 120

120/2 = 60

60/2 = 30

Together.

30 cards can go into 30 bags, and 2 pencils can go into 30 bags

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