find the surface area of the triangular prism

Find The Surface Area Of The Triangular Prism

Answers

Answer 1

Answer:

608 ft²

Step-by-step explanation:

1) Find the area of the bases

[tex]A=\frac{1}{2} bh[/tex] where b is the base length and h is the height

Plug in b and h

[tex]A=\frac{1}{2} (12)(8)\\A=48[/tex]

Multiply the answer by 2 (because there are 2 bases)

A=96

Therefore, the area of the two bases is 96 ft².

2) Find the area of the two sides facing up

[tex]A=lw[/tex] where l is the length and w is the width

Plug in l and w

[tex]A=10*16\\A=160[/tex]

Multiply the answer by 2 (because there are 2 sides)

A=320

Therefore, the area of these two sides is 320 ft².

3) Find the area of the bottom side

[tex]A=lw[/tex] where l is the length and w is the width

Plug in l and w

[tex]A=12*16\\A=192[/tex]

Therefore, the area of this side is 192 ft².

4) Add all the areas together

96 ft² + 320 ft² + 192 ft²

= 608 ft²

Therefore, the surface area of the triangular prism is 608 ft².

I hope this helps!

Answer 2

Answer:

608

Step-by-step explanation:

first off you have to find the area of the base

the base is 16 by 12 feet.

so you multiply them and you get

16*12=192 you will have to come back later for this number

next, you find the two outsides of the triangular prism.

they are 10 by 16

10*16=160 and there are two of them so you double it and get 320

now save the 320 too with the 192

now we are going to find the triangles

the formula for an area of a triangle is A=1/2h*w

so we plug in the height which is 8 and the width which is 12

A=1/2(8)*(12)

Simplify

A=48 once again there are two of them so we double it to make it 96

now take all your saved numbers and add them all up

96+320+192

this should give you an answer of 608

hope this helps! have a nice day:)


Related Questions

The figure represents a design for a stained glass window. The window is divided by cords MN and ST. What is the value of x

Answers

Need the points sorry

Can anyone help me please I am so confused and stuck so please help

Answers

I am assuming that it is division.

The answers are B and D.

What is 39 divided by 0????????????

Answers

Answer:

Your answer whould be 0 ;)

Answer: zero Divided by anything is always zero so the answer is zero.

please help! Brainliest answer! thank you!1

Answers

Answer:

I think it's A

Step-by-step explanation:

because none of the others appear to be correct

Answer:

A. AB = CB

Step-by-step explanation:

If you compare all the lines shown, you can see that options B,C and D are all incorrect, therefore, the last remaining option, option A, is correct.

A. AB = CB

Hope this helps :)

PLEASE HELP I WILL GIVE BRAINLIEST

Answers

[tex]X\leq 1[/tex]

Because the line show X is 1 or less.

Answer:

X [tex]\leq[/tex] 1

Step-by-step explanation:

Since the dot is solid that means it includes 1

and since the line is going towards negative infinity that is why it is less than

So X is less than or equal to 1 which is the first answer

Which of the following is NOT one of the angle measures?

Answers

I believe that 95 isn't one of the measures

The 95 is not . Sorry if I’m wrong

The wheels of a car have a radius of 14 inches and are rotating at 750rmp. Find the speed of the car in mi/h

Answers

Add 750 plus 14 Answer: 764

9. A photographer rented a booth at an art fair for $630. The photographer sold each
photograph for $45 and made a total of $1,980 after paying for the booth. How many
photographs did the photographer sell at the fair?
A. 14
B 30
a. 44
D. 58

Answers

B.30 because you have to subtract the amount of the cart from the total then divide that to 45 to see how many paintings

Evaluate f(x)=13(6)^x for x=3

Answers

Answer:

f(x) or y=2808

Step-by-step explanation:

the value of the expression. -5.6 - ( 3.4 - 6.8)

Answers

Answer:

-2.2

Step-by-step explanation:

Answer:

-19.04 + 38.08 = 19.04

Which of the following expressions has a value of 3? Select all that apply.
o 6 = -2
4- (-1)
(-1)(-3)
(-2) - 1
O 15 = -5
o 4+1

Answers

Answer:

1) -6/-2

3) (-1)(-3)

Find uw if vw= 5/8 in

Answers

Answer:

4/8, which reduced is 1/2. Final answer!

Step-by-step explanation:

IF RIGHT PLZ GIVE BRAINLIEST

THANK U

HAVE A GREAT DAY AND BE SADE :)

XD

The value v of your quarters in cents) is a function of n, the number of quarters you have.
a. Give 2 input-output pairs that represent this function.
b. Write an equation that represents this function.
c. Find the output when the input is 10.
d. Identify the independent and dependent variables.

Answers

Answer:

a) (2, 0.5)  (4, 1)

b) V(n) = 0.25n

c) $2.50

d) # quarters = independent

value = dependent

Step-by-step explanation:

The independent value is the number of quarters and the dependent variable is the value of cents and the  equation that represents this function is,

[tex]v(n)=25\times n\rm \;\;cents[/tex]

How to write algebraic expression?

Algebraic expression are the expression which consist the variables, coefficients of variables and constants.

The algebraic expression are used to represent the general problem in the mathematical way to solve them.

Steps to write down the simple algebraic expression-

Identify all the factors of the expression.Assume a variable for the changing values.Put a coefficient for the variable, if there is any rate of change of variable.Use constant numbers for the fixed values.

a. Give 2 input-output pairs that represent this function.

There is total 25 cent is 1 quarter. Thus, when if there are 2 quarters, then the value of cent is 50 and when there are 4 quarters, then the value of cents is 100 cents.

Hence, the two pairs should be as,

(2, 50), (4, 100)

b. Write an equation that represents this function.

As, v is the value of quarters in cents. There is total 25 cent is 1 quarter. The total quarter is n. Thus, the function can be given as,

[tex]v(n)=25\times n\rm \;\;cents[/tex]

c. Find the output when the input is 10.

Put the value 10 on the place of n in the above equation as,

[tex]v(10)=25\times (10)\\v(10)=250\rm cents[/tex]

The output when the input is 10 is 250 cents.

d. Identify the independent and dependent variables.

The independent value is the number of quarters and the dependent variable is the value of cents.

Hence, the independent value is the number of quarters and the dependent variable is the value of cents and the  equation that represents this function is,

[tex]v(n)=25\times n\rm \;\;cents[/tex]

Learn more about the algebraic expression here;

https://brainly.com/question/2164351

Adding and subtracting matrices
Question 16

Answers

Answer:

it is 16 and not 17 18 19 or 20 it is only 16

i need help
someone pls

Answers

Answer:

≈ 66.5 m

Step-by-step explanation:

Using the sine ratio in the right triangle

sin12° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{d}{320}[/tex] ( multiply both sides by 320 )

320 × sin12° = d , then

d ≈ 66.5 m ( to 1 dec. place )

Alyssa swims 3 laps in 12 minutes. At this same
rate, how many laps will she swim in 30 minutes?

Answers

Answer:

I think 7

Step-by-step explanation:

By the way I'm a swimmer, and even I could swim 3 laps under 12 minutes. This poor girl is slow...

What is the answer for x and y?

Answers

Answer:

x = 110

y = 70

Step-by-step explanation:

x = 110  {Corresponding angles}

y +40 = x        {Exterior angle property}

y + 40 = 110

       y = 110 - 40

       y = 70

Help!
Please show work

Answers

Answer:

131°

Step-by-step explanation:

to find the total degrees of this polygon, we use the equation

=> n - 2 × 180°                         (n= number of sides)

5 - 2 × 180° = 540°

now by using angle sum property,

540° = 80° + 148° + 81° + 100° + [tex]x[/tex]°

540° = 409° + [tex]x[/tex]°

[tex]x[/tex]° = 540° - 409°

[tex]x[/tex]° = 131°

Need help don’t like math help

Answers

Answer:

$21.81

Step-by-step explanation:

add the reduced number to the new number

Answer:

21.81

Step-by-step explanation:

add 1.05 to 20.76

Joey has 10 pairs of socks in his drawer. seven of them are white. what percent of colored socks does joey have?

Answers

I’m pretty sure it’s 30%

Answer:

30% of Joey's socks are colored.

Step-by-step explanation:

7/10 x 10

= 70/100

100-70= 30%

20% of

games is 8 games

Answers

Answer:

games is 40

Step-by-step explanation:

you know that 20% of games is 8. let's take a look at this from a fractions view. 1/5 of 100 is 20. so if 8 is 1/5 of Games, multiply 8 x 5 to find the whole, which is 40, the answer!

PLZ HELP I WILL GIVE BRAINLIEST

Answers

Answer:

the third one

Step-by-step explanation:

bc like there are 2 boxes of 1 and 5 boxes of 1/6 so thats already 2 and 5/6 which applies to all of them. then there is 1 box of 1 and 2 boxes of 1/3 so thats 1 and 1/3 which applies to all of them also but when you make them have the same denominator you get 2 and 5/6 + 1 and 4/6 which deletes the second one. When you add you should get the same denominator so that deletes the first one so then you simplify that and the fraction should still be equal to the unsimplified fraction so you should get 4 and 1/2 if that makes sense

how do i simplify this problem?

Answers

Answer:

[tex]9x \frac{19}{4}[/tex]

Step-by-step explanation:

Given Expression:

[tex]\sqrt[4]{(3x^3)^3 times (3x^2)^5}[/tex]

Simplification:

[tex]9x\frac{19}{4}[/tex]

Please help ! This is due today .

Answers

Hey! In the first box, color 4 squares blue. I am not really sure exactly how many to color blue in the second one, but I would go with coloring 2 blue. In the third box, do not mark any squares blue. Hope this helps!

Answer:

Step-by-step explanation:

1)  because there are 10 total boxes in box 1  and they want 2/5 of them color in 4 boxes to make 4/10  which can reduce to 2/5

2) they say make it unlikey that a blue box will be picked.. so color in one box

3) now don't color any of the boxes.. so no matter which boxes is picked.. there isn't any blue ones. :)


Starting money = $350.
Interest rate = 2.5%
Time - 3 years.
How much interest?
a) $7.50
b) $26.25

Answers

Answer:

Step-by-step explanation:

I=Prt

I=350(0.025)3

I=$26.25

5 numbers :
mode = n median= n+1 mean = n+2 Range = n+3

find 2 sets of numbers

Answers

Answer:

3,3,4,6,6

4,4,5,6,7

5,5,6,6,8

Step-by-step explanation:

mode = n

median= n+1

mean = n+2

Range = n+3

let sets:

a,b,c,d,e

mode = n, at least two of them are the same and equal to n

n,n,c,d,e

median belong to the set, in ascending order:

n,n,n+1,d,e

which means d,e ≥ n+1, d≠e

mean is n+2

5(n+2)=n+n+n+1+d+e

2n+9=d+e

Assume e is the maximum:

Range is n+3:

e-n=n+3

e=2n+3

d=6≥n+1

n≤5,

Set is n,n,n+1,6,n+3

n+1≤6≤n+3

3≤n≤5

3,3,4,6,6 bimodal

4,4,5,6,7

5,5,6,6,8 bimodal

Find an equation for the perpendicular bisector of the line segment who’s endpoints points are (-9,3) and (1,7).

Answers

Answer:

y = 2/5x + 33/5

Step-by-step explanation:

(-9,3) and (1,7)

m=(y2-y1)/(x2-x1)

m=(7-3)/(1+9)

m=4/10

m = 2/5

y - y1 = m(x - x1)

y - 3 = 2/5(x + 9)

y - 3 = 2/5x + 18/5

y = 2/5x + 33/5

In this scatterplot, the horizontal axis indicates years
since 2000 and the vertical axis indicates the population
of a pack of wolves. The equation of a trend line is also
given. Use it to predict the population in 2016.
11

Answers

Answer:

Population of wolves in 2016 = 23

Step-by-step explanation:

Equation of the line of best fit has been given as,

y = 1.5x - 1

Here, y = population of a pack of wolves

x = duration (in years) since year 2000

Duration between year 2000 and 2016 = 16 years

Now we substitute the value x = 16 in the equation of line of best fit,

y = 1.5(16) - 1

y = 24 - 1

y = 23

Therefore, population of wolves in 2016 = 23

Abertura formada por dos
semi-rectas con un mismo
origen llamado vértice.

Answers

Umm I don’t know I need help to

|x+3| x>5
now can you plz just give the answer

Answers

Answer: I would love to help you but I am confused on what you mean by the question.

Step-by-step explanation:

Other Questions
An unknown amount of waterwas heated with 3.5 kJ, raisingits temperature from 26C to66C. What was the mass ofthe water? We apply this principle when" your body adapts to the activity and the exercise becomes to easy."Overload?specificty?Progression?Reversibility? W + BgCz2 --> WCz + BgBalance this equation Brief 2 sentence summary on the battle of Shiloh A gym charges an initial fee plus $25 per month. John paid $200 for six months. Assume the relationship is linear.a.What is the rate of change and what does it mean in context to the situation?b. What is the initial value and what does it mean and context to the situation?i will give brainliest!!!!! PLS HELP: Harry read a number of books over the summer. Make a histogram to show thebooks he read by page length. Which length of book did he read the most?number of pages: 452 409 355 378 390 367 375 514 389 438 311 411 376 Help me please 30 points Describe one way in which a young star is different from a protostar. 1. Write a sentence explaining what kind of life Teddy Roosevelt liked. this is the question Help meeee pleaseeeeee f(x)=x^2 g(x)=x-5(f of g)(-2)= THE COFFICENT OF y in term -y /3 is HELP ITS DUE AT 11 AND IT 10:20 how many inches are in 3 yards The assertion that the process of communication is idiosyncratic is best explained by which of the following?The process of communication is the same for everyoneO The process of communication has three stepsThe process of communication is distinct for everyoneThe process of communication is only a tool for conveying meaning 3. What is true about the graph of a system of equations that has infinitely many solutions? A. The lines will have the same slope but different y-intercepts. B. The lines will have the same slope and the same y-intercepts. C. The lines will have different slopes and different y-intercepts. D. The lines will have different slopes but the same y-intercepts. When different alleles both influence the phenotype of an organism, the result is....a A genotypeb A phenotypec An alleled Codominance Fill in the blanks. (With picture) 15 pts(Simplify your answers. Use integers or fractions for any numbers in the expressions. What is an equation of the line that passes through the point (3,-1)(3,1) and is parallel to the line 5x+3y=65x+3y=6?