Find the surface area of this triangular prism.
Please explain as well, I’m struggling with it.

Find The Surface Area Of This Triangular Prism.Please Explain As Well, Im Struggling With It.

Answers

Answer 1

Answer:

SA= 84 cm^2

Step-by-step explanation:

So first locate all the surfaces

we got 5 sides in total

Now calculate each one

Lets start with the 2 triangles

so formula for area of triangl is 1/2(b*h)

So in this case it’s 6

Now there are 2 identical triangles

So Times the 6 by 2

You’ll get 12

Thats 2 sides

Now for the side with the rectangle of 5cm and 6cm

Area of rectangle is 5*6=30

That would onay be 1 side

Now for the bottom of the prisim which is the side with 4cm and 6cm

Same rectangle so multiply

4*6=24

Thats another side down

The last side is on the left with the back not visible. The two dimensions are 6 and 3

Now multiply 6*3

18

Now add up your total

18+24+12+30=84

So 84 cm^2 OR 84 square centimeters

Answer 2

Answer:

84 [tex]cm^{2}[/tex]

Step-by-step explanation:

To find the surface area of a prism, one will have to find the area of each of the sides of the prism, then add the areas up. First, find the dimensions of each of the sides

Front; 5 x 6

Front triangle; 3 x 4

Back triangle; 3 x 4

Bottom; 4 x 6

Back; 3 x 6

The front is a rectangle, hence one has to [tex]base * height[/tex] to find the area;

5 x 6

= 30

The front triangle is a triangle, hence on has to do [tex]\frac{base * height}{2}[/tex] to find the area;

[tex]\frac{3*4}{2}[/tex]

= 6

The back triangle is a triangle, hence on has to do [tex]\frac{base * height}{2}[/tex] to find the area;

[tex]\frac{3*4}{2}[/tex]

= 6

The back is a rectangle, so one has to do [tex]base * height[/tex] to find the area;

4 * 6

= 24

The bottom is a rectangle,  o one has to do [tex]base * height[/tex] to find the area;

3 * 6

= 18

Noe one has to add up all the areas to find the total surface area;

Front + Front_triangle + Back_triangle + Bottom + Back

30 + 6 + 6 + 24 + 18

= 84


Related Questions

PLZZZZZ HELPPP ME!!!!

Answers

I think is the top one!!!!!!!

Beth was working at the grocery store, in the quick check-out line. A customer bought cereal for $3.29 and milk for $3.45. The customer paid with $10.00. How much change does Beth need to give the customer?

Answers

Answer:

Change = $3.26

Step-by-step explanation:

Given the following data;

Cost of cereal = $3.29.

Cost of milk = $3.45.

Amount paid = $10.00

Total cost of items bought = $3.29 + $3.45 = $6.74

Change = Amount paid - Total cost of items purchased.

Substituting into the equation, we have;

Change = $10.00 - $6.74

Change = $3.26

Therefore, Beth need to give the customer a change of $3.26.

Answer:

3.26

Step-by-step explanation:

I HAD THAT QUESTION

Plz help ASAP I need answers now for all of them

Answers

Axis of symmetry: -4
Vertex: -4,-5
Domain: (0,0)
Range: (-5, 0)
Y intercept: 0,27

There were 239 people at a Travis Scott concert. Admission to the drive-in concert was $15 for adults and $5.50 for children. The total cost was $2758.50.

Answers

Answer:

239 people 15$adults 5.50$ for kids

Step-by-step explanation:

serious help!!!! please!

Answers

Answer:

im 99.99999% sure its c

Step-by-step explanation:

What is the equation of a line with slope 4 and intercept 12?

Answers

Answer:

y = 4x + 12

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

Slope m = 4

y-intercept b = 12

Step 2: Write function

Substitute [Form]:          y = 4x + 12

Why is 3x1/10 less than 3x10?

Answers

Answer:

below

Step-by-step explanation:

3*1/10 = 30/10 = 3

3 * 10 = 30

As you can see, 3 is less than 30.

Best of Luck!

The expression 3x1/10 is less than 3x10 because, 1-tenth is less than 10.

Place value concept:

According to the question;

The given expressions are; 3×1/10 and 3×10.

In essence, since 3 is common to both expressions;

We can draw a comparison between 1/10 and 10.

Ultimately, since 1/10 is less than 10; we can conclude that 3×1/10 is less than 3×10.

Read more on place value:

https://brainly.com/question/25137147

HELP PRETTY PLEASE ILL GIVE BRAINLIEST
150% of x is 216. What is x?

Answers

Answer:
x=144

Step by step:

150% • x = 216

216•100/150

x=144

Tyler needs to buy a book for school that costs $13 he also wants to get a book for each of his two sisters and he wants to be sure he spends the same amount on each of their books. He only has $27 to spend. Let b represent the amount he can spend on each additional book

Answers

Answer:

[tex]b = \$7[/tex]

Step-by-step explanation:

Given that:

Cost of book that Tyler wants to buy for his school = $13

He wants to buy books for his sisters as well.

Total amount of money present with Tyler = $27

Money to be spent on books for his sisters is same and is represented as [tex]b[/tex].

To find:

The value of [tex]b[/tex].

Solution:

As per question statement, the sum of all the books bought must be equal to $27.

The sum of money spent on all the books = Cost of Tyler's book + Cost of books for his sisters

[tex]\Rightarrow \$13 + b + b = \$27\\\Rightarrow \$13 + 2b = \$27\\\Rightarrow 2b =\$14\\\Rightarrow b =\$7[/tex]

Therefore, Tyler must spend $7 on each of her sister's books.

Solve 2(4/x+8)=18

Side note: 4/X is supposed to be a fraction

Answers

9514 1404 393

Answer:

  x = 4

Step-by-step explanation:

Divide by 2, subtract 8 ...

  2(4/x +8) = 18

  4/x +8 = 9

  4/x = 1

  4 = x . . . . . multiply by x

Answer:

4/x+8=18/2

4/x+8=9

4/x=9-8

4/x=1

4=1x

x=4

what is the answer to the question?​

Answers

Answer:

Given : PQ = RQ

to find : angle B

PQ = RQAngle B = angle QRP ( angle opposite to equal side are equal). ...(1)angle QRP + 140° = 180° ( linear pair)angle QRP = 180° - 140°angle QRP = 40°from equation (1) Angle B = angle QRP = 40°

Answer:

b=40

Step-by-step explanation:

PQ=RQ

That means both sides are the same length which also means they both have the same angel measure of 140.

A super easy way to solve this would be to realize that where p is, the angel is 140.

A straight line is 180.

b and 140 are supplementary angels. [which means they equal 180]

To find b you can make an equation.

b+140=180

or

180-140=b

I'll show you both.

First one you would subtract 140 on both sides to get the variable alone, leaving you with b=40.

For the second one, you just do 180-140 and it also equals 40.

Either way it leaves you with b=40

If you need any more help with angels and whatnot, don't be afraid to reach out. I hope that helps! <3

Fractions help
4 and 2/3 divided into 3 and 1/6

Answers

Make them improper fractions
4 2/4 turns into 18/4
3 1/6 turns into 19/6
Divide = multiply reciprocal
18/4 * 6/19 = 108/76 = 27/19
The solution is 27/19

Answer:

The answer is 1 9/19

Step-by-step explanation:

PLEASE HELP FAST!!!!!

Answers

Answer:

The solution of the system of equations be:

[tex]x=8,\:y=4[/tex]

Hence, option C is true.

Step-by-step explanation:

Given the system of equations

[tex]\begin{bmatrix}4x+7y=60\\ -4x+7y=-4\end{bmatrix}[/tex]

adding both the equations

[tex]-4x+7y=-4[/tex]

[tex]+[/tex]

[tex]\underline{4x+7y=60}[/tex]

[tex]14y=56[/tex]

so the system of equations becomes

[tex]\begin{bmatrix}4x+7y=60\\ 14y=56\end{bmatrix}[/tex]

solve 14y for y

[tex]14y=56[/tex]

Divide both sides by 14

[tex]\frac{14y}{14}=\frac{56}{14}[/tex]

Simplify

[tex]y=4[/tex]

[tex]\mathrm{For\:}4x+7y=60\mathrm{\:plug\:in\:}y=4[/tex]

[tex]4x+7\cdot \:4=60[/tex]

[tex]4x+28=60[/tex]

Subtract 28 from both sides

[tex]4x+28-28=60-28[/tex]

Simplify

[tex]4x=32[/tex]

Divide both sides by 4

[tex]\frac{4x}{4}=\frac{32}{4}[/tex]

[tex]x=8[/tex]

Therefore, the solution of the system of equations be:

[tex]x=8,\:y=4[/tex]

Hence, option C is true.

30( 4p + 6c+ 12p + 40)

What property can be used to simplify the expressions

Answers

Distributive Property

Answer: Distributive Property

30(4p+6c+12p+40)

=(30)(4p+6c+12p+40)

=(30)(4p)+(30)(6c)+(30)(12p)+(30)(40)

=120p+180c+360p+1200

=180c+480p+1200

Step-by-step explanation: Hope this help

PLSSSSS I NEED HELP I WILL GIVE BRAINLEST OR HOWEVER I SPELL IT PLSS ITS ON THE PICTURE‼️‼️

Answers

Answer:

2nd option where z=2

w=3

Answer:

the second answer

Step-by-step explanation:

What is the inverse of the function f(x) = one-ninth * x + 2?

Answers

Answer:

Please mark as brainliest!!!!

Step-by-step explanation:

https://brainly.com/question/1144043

Answer:

f⁻¹(x) = 9x - 18

Step-by-step explanation:

Given

f(x) = 1/9x + 2

Let the inverse be y= f⁻¹(x)

To find inverse change x ⇒ y and solve for y:

x = 1/9y + 29x = y + 18y = 9x - 18

So the inverse is:

f⁻¹(x) = 9x - 18

Help with number 23 plz. Plz...

Answers

Answer:

D

Step-by-step explanation:

D, it has (x). so its easy to plug in x e.g. 3(4y+6)-2y=3.

Hope this helps plz hit the crown :D

Please help me with this question?
Identify the function that reflects f(x) = 14x3 − 7x2 + 6 across the y-axis and shifts it 6 units up.

Answers

Answer:

Step-by-step explanation:

-14x^{3}-7x^{2}+12

A submarine is descending to examine the seafloor 2,100 feet below the surface. It took the submarine 8.75 hours to reach the seafloor. What is the submarines rate of descent in feet per hour?

Answers

Answer:

240 feet per hour

Step-by-step explanation:

Given that:

Submarine is descending for examining the sea floor.

Distance of sea floor from the surface = 2100 feet

Time taken for the descend = 8.75 hours

To find:

The rate of descent in feet per hour = ?

Solution:

Here, we are given the distance traveled in feet and the time taken to travel that distance in hours.

And we have to find nothing but the speed of the submarine.

First of all, let us have a look at the relationship among speed, distance and time.

[tex]Speed = \dfrac{Distance}{Time}[/tex]

Putting the values of distance and time.

[tex]Speed = \dfrac{2100}{8.75}\\\Rightarrow Speed = \bold{240\ feet/hr}[/tex]

The amount of variation in the dependent variable that cannot be accounted for by the combination of independent variables in regression analysis is called .

Answers

Answer:

A linear function has an x-intercept of 12 and a slope of StartFraction 3 Over 8 EndFraction. How does this function compare to the linear function that is represented by the table?

x

y

Negative two-thirds

Negative three-fourths

Negative one-sixth

Negative StartFraction 9 Over 16 EndFraction

One-third

Negative StartFraction 3 Over 8 EndFraction

StartFraction 5 Over 6 EndFraction

Negative StartFraction 3 Over 16 EndFraction

It has the same slope and the same y-intercept.

It has the same slope and a different y-intercept.

It has the same y-intercept and a different slope.

It has a different slope and a different y-intercept

Step-by-step explanation:

Kip claims that when a triangle is translated, it becomes impossible to determine the measures of the new triangle.
Complete the table below to determine the measures of the sides of A XYZ

Answers

Answer:

the sizes will be the same

Step-by-step explanation:

PLEASE HELP ME PLEASE

Answers

Answer:

We conclude that:

f(2) = -5

Step-by-step explanation:

Given the function

[tex]y = f(x)[/tex]

In order to determine the value f(2), we need to check the value of y at x = 2.

In other words, we need to check:

at x = 2, what is the value of y?

From the graph, it is clear that at x = 2, the value of y = -5

In other words,

f(2) = -5

Therefore, we conclude that:

f(2) = -5

Raymond had already run 3 miles on his own, and he expects to run 1 mile during each track practice. How many track practices would it take for Raymond to run 45 miles?

Answer in the number of practices.

Answers

Answer:

42

Step-by-step explanation:

45-3

Answer:

11.25, or 42

Step-by-step explanation:

If 3 miles every practice too, then:

3+1 = 4

45/4 = 11.25

If 3 miles already, then always 1 mile:

45 - 3 = 42

42/1 = 42

PLZZ HELP ASAP MARKING BRAINLIEST

Answers

difference in order   percents in order

30                              33%

120                             100%

25                               50%

9                                  8%

Solve the equation for the variable numerically using a
model and algebraically using inverse operations.
3x + 8 = 44
Show your work using the sketch feature and input your
solution below.

Answers

Answer:

x= 12

Step-by-step explanation

3x+8=44

subtract 8 from both sides:  3x+8= 44

                                                     -8    -8

3x=36

then divide by 3 on both sides

3x=36

3    3

which leaves : x=12

my explaining is horrible but i hope this helps

Please help (geometry)
best answer gets the brainiest thing everyone’s obsessed with for some reason

Answers

Answer:

The statement BI = BK is true from the given information ⇒ B

Step-by-step explanation:

If a line is a perpendicular bisector of a line segment, then

The line intersects the line segment in 4 right anglesThe line intersects the line segment in the mid-point of the line segmentAny point on the line is equidistant from the endpoints of the line segment

Let us find the true statement

Line AB is the perpendicular bisector of segment IK

→ By using the 1st note above

∴ AB ⊥ IK

∠IJA, ∠KJA, ∠IJB, ∠KJB are right angles

→ By using the 2nd note above

∴ J is the mid-point of IK

IJ = JK

∵ Any point on line AB is equidistant from The endpoints of IK ⇒ 3rd note

∴ AI = AK

BI = BK

The statement BI = BK is true from the given information

Ronin draws a square with a measure of (x + 2) inches on each side. The perimeter of his square is 96 inches. The equation below represents the perimeter of the square.

4 (x + 2) = 96

What is the value of x?
16
22
24
26

Answers

x= 22

(you can work the problem backwards and get the same answer to make sure it’s correct )

4x+8=96>>96-8=88
88/4=22 the full answer

Last night, the two dinner specials at Bruce's favorite restaurant were salmon filet and steak. The restaurant served 30 specials in all, 40% of which were salmon filets. How many salmon filets did the restaurant serve?

Answers

Answer:

12

Step-by-step explanation:

100% represents 30

What about 40%

100%=30

Cross mutiply you get 12

The company receptionist receives about 20 calls every 45 minutes. How many calls can she expect in 180 minutes?

Answers

Step-by-step explanation:

approx 63 calls in 180 min :)

#shadow

Answer:- 180minutes means 80 calls

find the area of each triangle. round intermediate values to the nearest tenth. use the rounded values to calculate the next value.Round your final answer to the nearest 10

Answers

Sin(α)=opposite leg/hypotenuse

Sin(63°)=ya/35

ya=35xSin(63°)

ya=31.2

Area(a)= (15.9x31.2)/2

Area(a)=248.0

 

Now, we proceed to find the area of "b". We already have the length x=15.9, so:  

Tan(α)=opposite leg/adjacent leg

yb=15.90xTan(42°)

yb=14.3

Area(b)=15.9X14.3/2

Area(b)=113.7

The total Area (At) is:  

At=Area(a)+Area(b)

At=248.0+113.7

At=361.7

10) Triangle "a":

-Adjacent leg of the triangle "a":

Cos(α)=adjacent leg/hypotenuse  

Cos(30°)=xa/48

xa=48xCos(30°)  

xa=41.6

-Opposite leg of the triangle "a":

Sin(α)=opposite leg/hypotenuse

Sin(30°)=y/48

y=48xSin(30°)

y=24.0

-Area of the triangle "a":

Area(a)=41.6x24.0/2

Area(a)=499.2

Triangle "b":

-We have the value of i(y=24).

-Adjacent leg of the triangle "b":

Tan(α)=opposite leg/adjacent leg

Tan(45°)=24/xb

xb=24/Tan(45°)

xb=24

-Area of the triangle "b":

Area(b)= 24x24/2

Area(b)=288

-Total area of the triangle (At) is:

At=Area(a)+Area(b)

At=499.2+288

At=787.2

11) To find the area of the triangle shown in this exercise, we have to apply the same procedure as in exercise 10:

-Adjacent leg of the triangle "a":

Cos(α) = adjacent leg/hypotenuse  

Cos(56°)=xa/14

xa=14xCos(56°)

xa=7.8

-Opposite leg of the triangle "a":

Sin(α)=opposite leg/hypotenuse

Sin(56°)=y/14

y=14xSin(56°)

y=11.6

-Area of the triangle "a":

Area(a)=7.8x11.6/2

Area(a)=45.2

Triangle "b":

-The value of its opposite leg is y=11.6.

-Adjacent leg of the triangle "b":

Tan(α)=opposite leg/adjacent leg

Tan(46°)=11.6/xb

xb=11.6/Tan(46°)

xb=11.2

-Area of the triangle "b":

Area(b)= 11.6x11.2/2

Area(b)=65.0

-Total area of the triangle (At) is:

At=Area(a)+Area(b)

At=45.2+65.0

At=110.2

12)-Adjacent leg of the triangle "a":

Cos(α)=adjacent leg/hypotenuse  

Cos(54°)=xa/13

xa=13xCos(54°)

xa=7.6

-Opposite leg of the triangle "a":

Sin(α)=opposite leg/hypotenuse

Sin(54°)=y/13

y=13xSin(54°)

y=10.5

-Area of the triangle "a":

Area(a)=7.6x10.5/2

Area(a)=39.9

Triangle "b":

-Adjacent leg of the triangle "b":

Tan(α)=opposite leg/adjacent leg

Tan(42°)=7.6/xb

xb=7.6/Tan(42°)

xb=8.4

-Area of the triangle "b":

Area(b)=7.6x8.4/2

Area(b)=31.9

-Total area of the triangle (At) is:

At=Area(a)+Area(b)

At=39.9+31.9

At=71.8First, it is important to remember that the formula to calculate the area of a triangle is: A=bxh/2

As we can see in the exercises, all the triangles are divided in two triangles. So, let's call "a" to the triangle on the left and "b" to the triangle on the right.

9)To find the area of the triangle "a", we need the lenght of the adjacent leg (x) and the opposite leg (ya):

Cos(α)=adjacent leg/hypotenuse  

Cos(63°)=x/35

x=35xCos(63°)

x=15.9

 

Sin(α)=opposite leg/hypotenuse

Sin(63°)=ya/35

ya=35xSin(63°)

ya=31.2

Area(a)= (15.9x31.2)/2

Area(a)=248.0

 

Now, we proceed to find the area of "b". We already have the length x=15.9, so:  

Tan(α)=opposite leg/adjacent leg

yb=15.90xTan(42°)

yb=14.3

Area(b)=15.9X14.3/2

Area(b)=113.7

The total Area (At) is:  

At=Area(a)+Area(b)

At=248.0+113.7

At=361.7

10) Triangle "a":

-Adjacent leg of the triangle "a":

Cos(α)=adjacent leg/hypotenuse  

Cos(30°)=xa/48

xa=48xCos(30°)  

xa=41.6

-Opposite leg of the triangle "a":

Sin(α)=opposite leg/hypotenuse

Sin(30°)=y/48

y=48xSin(30°)

y=24.0

-Area of the triangle "a":

Area(a)=41.6x24.0/2

Area(a)=499.2

Triangle "b":

-We have the value of i(y=24).

-Adjacent leg of the triangle "b":

Tan(α)=opposite leg/adjacent leg

Tan(45°)=24/xb

xb=24/Tan(45°)

xb=24

-Area of the triangle "b":

Area(b)= 24x24/2

Area(b)=288

-Total area of the triangle (At) is:

At=Area(a)+Area(b)

At=499.2+288

At=787.2

11) To find the area of the triangle shown in this exercise, we have to apply the same procedure as in exercise 10:

-Adjacent leg of the triangle "a":

Cos(α) = adjacent leg/hypotenuse  

Cos(56°)=xa/14

xa=14xCos(56°)

xa=7.8

-Opposite leg of the triangle "a":

Sin(α)=opposite leg/hypotenuse

Sin(56°)=y/14

y=14xSin(56°)

y=11.6

-Area of the triangle "a":

Area(a)=7.8x11.6/2

Area(a)=45.2

Triangle "b":

-The value of its opposite leg is y=11.6.

-Adjacent leg of the triangle "b":

Tan(α)=opposite leg/adjacent leg

Tan(46°)=11.6/xb

xb=11.6/Tan(46°)

xb=11.2

-Area of the triangle "b":

Area(b)= 11.6x11.2/2

Area(b)=65.0

-Total area of the triangle (At) is:

At=Area(a)+Area(b)

At=45.2+65.0

At=110.2

12)-Adjacent leg of the triangle "a":

Cos(α)=adjacent leg/hypotenuse  

Cos(54°)=xa/13

xa=13xCos(54°)

xa=7.6

-Opposite leg of the triangle "a":

Sin(α)=opposite leg/hypotenuse

Sin(54°)=y/13

y=13xSin(54°)

y=10.5

-Area of the triangle "a":

Area(a)=7.6x10.5/2

Area(a)=39.9

Triangle "b":

-Adjacent leg of the triangle "b":

Tan(α)=opposite leg/adjacent leg

Tan(42°)=7.6/xb

xb=7.6/Tan(42°)

xb=8.4

-Area of the triangle "b":

Area(b)=7.6x8.4/2

Area(b)=31.9

-Total area of the triangle (At) is:

At=Area(a)+Area(b)

At=39.9+31.9

At=71.8

Step-by-step explanation:

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