What is the surface area, in square feet, of the triangular prism?

What Is The Surface Area, In Square Feet, Of The Triangular Prism?

Answers

Answer 1

Answer:

C. 108 square inches

Step-by-step explanation:

How do we find the surface area?

  ❖ To find the surface area, we have to calculate the area of each

       shape on a 3D figure.

Solving for Area of Triangles

[tex]\frac{3*4}{2}[/tex] [tex]12/2 = 6[/tex] [tex]6*2 = 12[/tex] Area of triangles are 12 square feet.

Solving for Area of Rectangles

[tex](8*3)+(8*4)+(8*5)[/tex]  [tex]24+32+40[/tex] [tex]96[/tex] Area of rectangles are 96 square feet.

Solving Area of Rectangle and Triangle

96 + 12108 square inches

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer 2

Answer:

108 ft²

Step-by-step explanation:

Area of a rectangle = width × length

Area of a triangle = 1/2 × base × height

Surface area = rectange + rectangle + rectangle + 2 congruent triangles

                     = (3 × 8) + (4 × 8) + (5 × 8) + 2(1/2 ×3 × 4)

                     = 24 + 32 + 40 + 12

                     = 108 ft²


Related Questions

how do i do this??

5% of a number is equal to 9. What is the number?

Answers

Answer:

5% of a number is equal to 9.

Let the number be " x "

Then ,

[tex]\bold{5\% \: of \: x = 9} \\ \\ \bold\purple{ \frac{5}{100} \times x = 9} \\ \\ \bold{5x = 900 }\\ \\ \bold{x = \cancel\frac{900}{5}} \\ \\\fbox\pink{\ x = 180}[/tex]

hope helpful ~

Answer:

[tex]\displaystyle 180[/tex]

Step-by-step explanation:

Convert [tex]\displaystyle 5\%[/tex]to a fraction and divide nine by it:

[tex]\displaystyle 9 = 5\%{n} \hookrightarrow \frac{9}{\frac{1}{20}} = \frac{\frac{1}{20}n}{\frac{1}{20}} \\ \\ \boxed{180 = n}[/tex]

I am joyous to assist you at any time.

x + 17 = -2x + 23
what is the answer to this ? and show me the work please

Answers

Answer:

2

Step-by-step explanation:

[tex]x + 17 = - 2x + 23 \\ \\ x + 2x = 23 - 17 \\ \\ 3x = 6 \\ \\ x = \frac{6}{3} \\ \\ x = 2[/tex]

Answer:

x = 2

Step-by-step explanation:

First, we will move all the xs to one side and everything else to the other side.

x + 17 = -2x + 23

+2x       +2x

-17         -17

This gives us:

x + 2x = 23-17

Then we can just combine like terms:

3x = 6

And divide both sides by three:

x = 2

a room is 400 inches long and 300 inches wide. if the length is shortened to 10 inches how wide is the room

Answers

Answer:

Step-by-step explanation:

The room's width should remain unchanged at 300 inches.

If the question is asking room of the same area but length shortened to 10 inches, then the answer is 400*300/`10 = 12000 inches.

One thing the question lacking (The area of both room is same).

New length=L=400-10=390Width be x

[tex]\\ \rm\rightarrowtail 400(300)=390x[/tex]

[tex]\\ \rm\rightarrowtail 120000=390x[/tex]

[tex]\\ \rm\rightarrowtail x=307.69[/tex]

I need help please help

Answers

Answer:

Figure 2 and Figure 1 are scaled copies

Figure 2 is twice as High and Wide

Figure 4 is 1/4 as tall.

Step-by-step explanation:

A shirt is on sale for 75% off the original price. If the original price of the shirt is 40 Dirhams. What is
the discounted price?

Answers

Answer:

The discounted price is 10 Dirhams

Step-by-step explanation:

75% of 40 dhs

0.75 of 40 dhs

0.75 × 40 dhs = 30 dhs

40 dhs - 30 dhs = 10 dhs

Answer:

30 Dirhams

Step-by-step explanation:

convert 15cm ^ 3 into m * m ^ 3​

Answers

Answer:

15000mm³.

Step-by-step explanation:

Solution,

According to the question,

15cm³ → mm³

Then ,

15 × 1000 ( 1000 mm³ = cm³ )

= 15000mm³.

If a chemical costs $3.54 for 20 ounces, what is the cost of 25 gallons of the chemical?

Answers

there are 128 fluid ounces in 1 gallon, that means that 25 gallons is 25 * 128 = 3200 ounces.

so if we know that for 20 ounces is 3.54, how much will it be for 3200 ounces?

[tex]\begin{array}{ccll} \$ & oz\\ \cline{1-2} 3.54 & 20\\ x& 3200 \end{array} \implies \cfrac{3.54}{x}=\cfrac{20}{3200}\implies \cfrac{3.54}{x}=\cfrac{1}{160}\implies 566.4=x[/tex]

if a shopkeeper sold a watch for Rs 640 at a loss of 20%,find the cost price of the watch​

Answers

Answer:

Rs 800

Step-by-step explanation:

Selling Price =Rs640

Loss=20%

Let the cost price of the watch be Rs x.

SP=CP-20%of CP

or, 640=x-x/5

or, 640=4x/5

or, 4x=640*5

or,x=3200/4

Therefore, x=Rs 800. The cost price of the watch is Rs 800.

There are 60 students in Class C. How many like pizza?

Answers

Answer:

71

Step-by-step explanation:

I think because it's not at 70 and it's not at 80 so 71 because it's between 70 and 80

What is the answer to this question..?. This is factoring polynomials with four terms .10ab+21−15a−14b

Answers

y=21(x-14) 10 ab x and y intercept

Un grupo de 25 estudiantes aportará $4.00 cada uno, para comprar una pizarra.
Si se reduce la cantidad de estudiantes a 20, ¿cuál será el aporte de cada
estudiante para comprar la pizarra?

Answers

Usando algebra, veremos que cada estudiante debe aportar $5.00.

¿Cuál será el aporte de cada estudiante?

En el caso en el que hay 25 estudiantes, cada uno aporta $4.00, entonces la cantidad total que se colecta es:

25*$4.00 = $100

Ahora, en el caso de que hay 20 estudiantes, cada uno aportara una cantidad x, de tal forma que:

20*x = $100

Debemos resolver la ecuación de arriba para x:

x = $100/20 = $5.00

Es decir cada estudiante debe aportar $5.00

Sí quiero aprender más sobre algebra, puedes leer:

https://brainly.com/question/24999712

What is the value of x in the equation −6 + x = −5? (1 point)
1
11
-1
-11​

Answers

Answer: 1

Step-by-step explanation:

3p square +18p+25=0
Solve by completing the square.

Answers

Oxygenated blood is pumped to the body by the

Can someone help me on this question? I’ll give brainliest if you answer soon!!!

Answers

Answer:

3

Step-by-step explanation:

Look in picture for information;

~Learn with Lenvy~

Find the Pattern
12 ↦ −1
3 ↦ −4
0 ↦ −5
−1 ↦ −5.3…
−9 ↦ −8

I have to find a formula to get from the left number to the right number, but I cannot find the pattern. How do I do this, and what is the solution?

Answers

Answer:  y = (1/3)x - 5

This is the same as writing [tex]y = \frac{1}{3}x-5[/tex]

======================================================

Explanation:

Assume we have a linear pattern matching the form y = mx+b.

The first row has x = 12 lead to y = -1

The second row has x = 3 lead to y = -4

This produces the two points (12,-1) and (3,-4)

Let's find the slope through those points.

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

m = (-4-(-1))/(3-12)

m = (-4+1)/(3-12)

m = -3/(-9)

m = 1/3

The slope is 1/3.

The y intercept is b = -5 since x = 0 leads to y = -5

We go from y = mx+b to y = (1/3)x - 5

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

To verify we have the correct equation, plug in each left side value as x values.

Let's try x = 12

y = (1/3)x - 5

y = (1/3)*12 - 5

y = 4 - 5

y = -1

This shows that the input x = 12 maps to the output y = -1

i.e.  12 ↦ −1 is the case here.

Repeat for x = 3

y = (1/3)x - 5

y = (1/3)*3 - 5

y = 1 - 5

y = -4

We can see that 3 ↦ −4 occurs.

I'll let you check the others, but you should find that the other mappings hold true as well. Therefore, the answer has been fully confirmed.

Square root 3 × sin X ×1/square root 3 = 1× cos 2 X

Answers

Answer:

yes

no

Step-by-step explanation:


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write the equation of the line passes through the given points (0,-2) and (-9,-7)
what is the equation?

Answers

Answer:

[tex]y= \frac{5}{9}x - 2[/tex]

Step-by-step explanation:

Let's write the equation in the slope-intercept form! In the slope-intercept form, y= mx +c, m is the slope and c is the y-intercept.

[tex]\textcolor{blueviolet}{\text{\textcircled{1} Find \: the \: slope}}[/tex]

[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]

where (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate

Slope

[tex] = \frac{ - 2 - ( - 7)}{0 - ( - 9)} [/tex]

[tex] = \frac{ - 2 + 7}{0 + 9} [/tex]

[tex] = \frac{5}{9} [/tex]

[tex]\textcolor{blueviolet}{\text{\textcircled{2} Substitute \: value \: of \: slope}}[/tex]

[tex]y = \frac{5}{9} x + c[/tex]

[tex]\textcolor{blueviolet}{\text{\textcircled{3} Substitute \: a \: pair \: of \: coordinates}}[/tex]

When x= 0, y= -2,

[tex] - 2 = \frac{5}{9} (0) + c[/tex]

c= -2

[tex]\textcolor{blueviolet}{\text{\textcircled{4} Substitute \: value \: of \: c}}[/tex]

[tex]\bf y= \frac{5}{9}x - 2[/tex]

An alloy is composed of nickel, zinc, and copper in a 5:4:8 ratio. How many kilograms of each metal is needed to make 3.4 kg of this alloy?

Answers

Answer:

1 kg, 0.8 kg, 1.6 kg

Step-by-step explanation:

Add up each part in the ratio

5 + 4 + 8 = 17

Divide the mass of the alloy by 17

3.4/17 = 0.2

To find out how much of each metal is in the alloy multiply 0.2kg by how many parts of it are in the alloy.

Nickel - 5 parts

0.2 x 5 = 1 kg

Zinc - 4 parts

0.2 x 4 = 0.8 kg

Copper - 8 parts

0.2 x 8 = 1.6 kg

Answer:

Step-by-step explanation:

5x+4x+8x=3.4

17x=3.4

x=0.2

Nickel 1 kg

Zinc 0.8 kg

Copper 1.6 kg

Hope this helped :D

i will give u brianliest!

Answers

Answer:

a) 5.956x10^-24

b)8x10^29

Solve 2 1/3 divided by 3 1/2.

Answers

Answer:

Solve 2 1/3 divided by 3 1/2.

Step-by-step explanation:

9g − g + 4g − 8g − 2 = 18
plz

Answers

Answer:

g = 5

Step-by-step explanation:

Combine like terms on the left side.

9g - g + 4g -8g = 4g

4g - 2 = 18

Add 2 to both sides.

4g = 20

Divide both sides by 4.

g = 5

5x+7y-x+2y+3x simplified

Answers

Answer:

7x+9y

Step-by-step explanation:

5x-x

=4x

4x+3x

=7x

7y+2y

=9y

7x+9y, combine like terms

A group of friends are having a 400 m race julze can run 25 meters in 4 seconds alex can run 60 meters in 10 seconds jaheim can run 6.5 meters Yuseph can run 100 meters in 15 seconds if each of them could keep their constant speed who would win the race explain your answer.

Answers

Answer:

Yuseph would win the race because he has the highest speed and will run 400m in 60 seconds

Step-by-step explanation:

Race = 400m

julze can run 25 meters in 4 seconds

= 400m / 25m × 4 seconds

= 16 × 4

= 64 seconds

alex can run 60 meters in 10 seconds

= 400m / 60m × 10 seconds

= 6.67 × 10

= 66.7 seconds

Yuseph can run 100 meters in 15 seconds

= 400/100 × 15 seconds

= 4 × 15

= 60 seconds

jaheim can run 6.5 meters

Yuseph would win the race because he has the highest speed and will run 400m in 60 seconds

Please help!!

The graph shows the height of a dolphin (in feet) as it jumps out of the water in relation to how many seconds pass. What type of function is it?

a. linear
b. exponential
c. quadratic
d. no text answer provided.

Answers

Answer:

c

Step-by-step explanation:

A quadratic function looks like a U, which is called a parabola.


[tex] \sqrt[3]{6} [/tex]
how do I do this ​

Answers

In decimal form it is 1.8

Answer:

[tex]\sqrt[3]{6}[/tex]≈1.817

Step-by-step explanation:

I used my calculator

type 3 and then [tex]\sqrt[x]{}[/tex] 6

In δxyz, z = 3.2 inches, x = 4.8 inches and ∠y=110°. find ∠z, to the nearest 10th of an degree

Answers

Answer: 27 degrees

Step-by-step explanation:

Jaime builds a corkboard that 45 inches tall and 63 inches wide. He wants to build a smaller corkboard with a similar shape for the kitchen. Which could be the dimensions of that corkboard?

Answers

Answer:

2835 its basically multiple

Find the distance between the two points rounding to the nearest tenth (if necessary).
(-7, -7) and (1, -3)​

Answers

Step-by-step explanation:

-7-(-7)

=-7+7

=0

1-(-3)

=1+3

=4

Carlos found a stick that was
stick in decimal form?
4/100
meters long. How many meters long was the

Answers

Answer:

it was long 4cm because 4/100 meters is like 4cm/100cm. 1 meter is 100cm so thats why

one number is four greater than another number.the sum of two numbers is 78.what are the two numbers?

Answers

Answer:

Step-by-step explanation:

27

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