42.1% of 375.4 =

Find the surface area of the triangular prism below

laiz [17]

QUESTION: To find the surface area of the triangular Prism given in the figure.

ANSWER:

$Area \: of \: Prism = 136 \: {units}^{2}$

STEP BY STEP EXPLANATION:

In a triangular Prism there are three rectangular faces and two triangular faces

As, in the given question the prism is irregular. So, it have different area of base rectangular face than that of the two side rectangular faces.

A/C to the question,

Base of triangular face = 6 unit

Height of triangular face = 4 unit

Length of side rectangular face = 7 unit

Breadth of side rectangular face = 5 unit

Length of base rectangular face = 7 unit

Breadth of base rectangular face = 6 unit

Area of triangle = $\frac{1}{2} \times base \times height$

Area of rectangle = Length × Breadth

AREA OF PRISM = 2 × AREA OF TRIANGULAR FACE + 2 × AREA OF SIDE RECTANGULAR FACE + AREA OF BASE RECTANGULAR FACE

=> Area of Prism = $2(\frac{1}{2} \times Base \: of \: triangular \: face \times Height \: of \: triangular \: face)$ + 2(Length of side rectangular face × Breadth of side rectangular face) + Length of base rectangular face × Breadth of base rectangular face

=> Area of Prism = $2( \frac{1}{2} \times 6 \times 4)$ + 2(7 × 5) + 7 × 5

=> Area of Prism = 2(3 × 4) + 2(7 × 5) + 7 × 6

=> Area of Prism = 2(12) + 2(35) + 42

=> Area of Prism = 24 + 70 + 42

=> Area of Prism = 136 units²

5 0

4 years ago

Hey, so I'm taking a test from k12 and I don't understand what's 36/12?

Gwar [14]

The answer is 3. Mark brainliest?

5 0

3 years ago

Read 2 more answers

What is the vertex of the quadratic function f(x)=(x-8)(x-2)

lakkis [162]

Answer: Vertex (5 ,-9)

Step-by-step explanation:

Given : Function f(x) = (x – 8)(x – 2).

To find : What is the vertex of the quadratic function .

Solution : We have given that f(x) = (x – 8)(x – 2).

On removing parenthesis

f(x) = x²-2x -8x +16.

f(x) = x²-10x +16.

We need to find vertex of this function ,

Vertex: (h, k)

h = -.

Plugging values

h = -.

h = 5 this is the x- coordinate,

Now , we will plug x= 5 in quadratic function .

k = (5)²-10(5)+16.

k = 25-50 + 16

k= -9.

Vertex (5 ,-9)

Therefore, Vertex (5 ,-9).

7 0

4 years ago

Which one is the right answer

Jobisdone [24]

Answer: A. f(g(x)) =x and g(f(x))=x and f and g are inverses.

Step-by-step explanation:

A function g is the inverse of function f if

f(g(x)) = g(f(x))=x

Given: f(x)= x+4 , g(x) = x-4

f(g(x)) = f(x+4) = (x-4)+4

= x-4+4 = x

i.e. f(g(x)) =x

g(f(x))= g(x-4) = (x-4)+4 =x

i.e. g(f(x))=x

Hence, f(g(x)) =x and g(f(x))=x and f and g are inverses.

8 0

3 years ago

WILL GIVE BRAINLIEST ANSWER PLEASE HELP In a theater there are 12 seats on the first row and 16 seats in the second row. the nu

faltersainse [42]

(a) $a_{n}$ = 4n + 8

(b) row 13 has 60 seats

(a)

the sequence of seats is an arithmetic sequence whose n th term is

$a_{n}$ = $a_{1}$ + (n - 1 )d

where $a_{1}$ is the first term and d the common difference

here the sequence is 12, 16, ....

with $a_{1}$ = 12 and d = 16 - 12 = 4, thus

$a_{n}$ = 12 + 4( n - 1 ) = 12 + 4n - 4 = 4n + 8

(b)

calculate the number of rows n when 60 seats

solve 4n + 8 = 60 ( subtract 8 from both sides )

4n = 52 ( divide both sides by 4 )

n = 13 ← number of rows

8 0

3 years ago