1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tino4ka555 [31]
1 year ago
10

The base of a triangular prism is a right triangle with a base of 6 inches, a height of 8 inches, and a third side length of 10

inches. the height of the prism is 14 inches. find the surface area of the prism.
Mathematics
1 answer:
Vikentia [17]1 year ago
5 0

The surface area of the rectangular prism with the dimensions that are stated is: 384 in.²

<h3>What is the Surface Area of a Triangular Prism?</h3>

Surface area = perimeter of base × height of prism + 2(base area)

= (s1 + s2 + s3)L + 2(1/2bh)

Given the following:

  • side of base (s1) = 6 in.
  • side of base (s2) = 8 in.
  • side of base (s3) = 10 in.
  • Length of prism (L) = 14 in.
  • Triangular base length (b) = 6 in.
  • h = 8 in.

Surface area = (6 + 8 + 10)14 + 2(1/2 × 6 × 8)

Surface area = 384 in.²

Learn more about the surface area of a rectangular prism on:

brainly.com/question/1310421

#SPJ4

You might be interested in
The coordinates of the vertices of quadrilateral DEFG are D(−2, 5) , E(2, 4) , F(0, 0) , and G(−4, 1) .
daser333 [38]

Answer: The correct option is a.Quadrilateral DEFG is a rhombus because opposite sides are parallel and all four sides have the same length.

Explanation:

It is given that  coordinates of the vertices of quadrilateral DEFG are D(−2, 5) , E(2, 4) , F(0, 0) , and G(−4, 1) .

The distance formula for two points is given below,

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

DE=\sqrt{(2+2)^2+(4-5)^2}=\sqrt{17}

EF=\sqrt{(0-2)^2+(0-4)^2}=\sqrt{20}

FG=\sqrt{(-4-0)^2+(1-0)^2}=\sqrt{17}

DG=\sqrt{(-4+2)^2+(1-5)^2}=\sqrt{20}

Slope formula,

m=\frac{y_2-y_1}{x_2-x_1}

Slope of DE,

m_1=\frac{4-5}{2+2}= \frac{-1}{4}

Slope of EF,

m_2=\frac{0-4}{0-2}= 2

Slope of FG,

m_3=\frac{1-0}{-4-0}= \frac{-1}{4}

Slope of DG,

m_4=\frac{1-5}{-4+2}= 2

The slope of opposite sides are equal, it means the opposite sides are parallel.

All four sides do not have the same length. It means it is not a rhombus.

From the figure it is noticed that the opposite sides are parallel.

Therefore, the correct option is a.Quadrilateral DEFG is a rhombus because opposite sides are parallel and all four sides have the same length.

3 0
3 years ago
Read 2 more answers
NO LINKS!! Use the method of substitution to solve the system. (If there's no solution, enter no solution). Part 11z​
Roman55 [17]

Answer:

(x,y)=\left(\; \boxed{-1,-8} \; \right)\quad \textsf{(smaller $x$-value)}

(x,y)=\left(\; \boxed{5,16} \; \right)\quad \textsf{(larger $x$-value)}

Step-by-step explanation:

Given system of equations:

\begin{cases}y=x^2-9\\y=4x-4\end{cases}

To solve by the method of substitution, substitute the first equation into the second equation and rearrange so that the equation equals zero:

\begin{aligned}x^2-9&=4x-4\\x^2-4x-9&=-4\\x^2-4x-5&=0\end{aligned}

Factor the quadratic:

\begin{aligned}x^2-4x-5&=0\\x^2-5x+x-5&=0\\x(x-5)+1(x-5)&=0\\(x+1)(x-5)&=0\end{aligned}

Apply the <u>zero-product property</u> and solve for x:

\implies x+1=0 \implies x=-1

\implies x-5=0 \implies x=5

Substitute the found values of x into the <u>second equation</u> and solve for y:

\begin{aligned}x=-1 \implies y&=4(-1)-4\\y&=-4-4\\y&=-8\end{aligned}

\begin{aligned}x=5 \implies y&=4(5)-4\\y&=20-4\\y&=16\end{aligned}

Therefore, the solutions are:

(x,y)=\left(\; \boxed{-1,-8} \; \right)\quad \textsf{(smaller $x$-value)}

(x,y)=\left(\; \boxed{5,16} \; \right)\quad \textsf{(larger $x$-value)}

6 0
1 year ago
Read 2 more answers
Y = - |x+3| - 4<br><br><br> It needs to be graphed, please help!
MA_775_DIABLO [31]

Answer:

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
At a pet store, it costs $5 to wash a cat and $7.50 to wash a dog. Last week, the store made $60 dollars from washing cats and d
Thepotemich [5.8K]
D = number of dogs washed
c = number of cats washed

d = (60 - 5c) / 7.50
The 7.50 should be underneath the brackets 
7 0
3 years ago
I need help with this ​
8090 [49]

Answer:

Step-by-step explanation:

9/I0 x 2/2 =9/I0

Or 0.9 in decimals

4 0
3 years ago
Read 2 more answers
Other questions:
  • Which statements are true about the value of the digits in the number 9,999,999?
    15·2 answers
  • I don’t understand how to do any or this.
    15·1 answer
  • farmer jim keeps 12 eggs in every coops. if farmer jims has 20 coops, how many hens does he have in all? if every hen lays 9 egg
    14·1 answer
  • Fifteen more than half a number is equal to 9
    14·1 answer
  • The graph of the quadratic function shown on the left is
    9·2 answers
  • Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable solut
    14·2 answers
  • Answer the question. Will give Brainliest to whoever gets it right.
    10·1 answer
  • Find the area of the shape shown below.
    10·2 answers
  • Zack and Antonio are on the track team. Zack ran 108 miles over 9 weeks, running the same distance each week. Antonio ran 91 mil
    12·1 answer
  • A bag contains 2 red marbles and 3 black marbles. If Abby picks a marble without looking, returns it to the bag, and then draws
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!