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3 years ago

What is the total area of the prism?

Mathematics

1 answer:

Pavlova-9 [17]3 years ago

6 0

First we look for the area of the triangle which is given by:
A = (1/2) * (4) * (6)
A = 12 feet ^ 2
Area of the rectangles:
Rectangle 1:
R1 = (4) * (8)
R1 = 32 feet ^ 2
Rectangle 2:
R2 = (6) * (8)
R2 = 48 feet ^ 2
Rectangle 3:
R3 = (root (6 ^ 2 + 4 ^ 2)) * (8))
R3 = 57,68882041 feet ^ 2
The total area will be:
A = 2A + R1 + R2 + R3
Substituting values:
A = 2 * (12) + 32 + 48 + 57,68882041
A = 161.6888204 feet ^ 2
Answer:
The total area of the prism is:
A = 161.6888204 feet ^ 2

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valentina_108 [34]

Answer:

1/4

Step-by-step explanation:

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Portion eaten by Jackie = 2/3 x 3/8 = 1/4 of the whole

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3 years ago

How many factors of 2 are there in 2³? answers> 1 2 3 5

algol [13]

Answer:

Step-by-step explanation:

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3 years ago

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monitta

Hey there!

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This means that we can set the two expressions equal to each other and solve for x:

2x + 2 = 3x - 52

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Hope this helps!

8 0

3 years ago

F(x) = x ^ 2 . What is g(x) ?

Bond [772]

Given:

The function is:

$f(x)=x^2$

The graphs of functions $f(x)$ and $g(x)$ .

To find:

The function $g(x)$ .

Solution:

We have,

$f(x)=x^2$

The function $f(x)$ is vertically compresses to get the graph of the function $g(x)$ . So, the function $g(x)$ is:

$g(x)=kf(x)$

$g(x)=kx^2$ ...(i)

From the given graph it is clear that the graph of the function $g(x)$ passes through the point (3,3). So, putting $x=3$ and $g(x)=3$ in the above function, we get

$3=k(3)^2$

$3=9k$

$\dfrac{3}{9}=k$

$\dfrac{1}{3}=k$

Putting $k=\dfrac{1}{3}$ in (i), we get

$g(x)=\dfrac{1}{3}x^2$

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3 years ago

Write an equation to represent the number puzzle. Use x as the

k0ka [10]

<h3>The equation is:</h3><h3> $x^2 - 7x + 12 = 0$ </h3><h3>The number is 3 or 4</h3><h3><em><u>Solution:</u></em></h3>

Given that,

7 added to the square of a number is equal to 7 times the number, minus 5

Let "x" be the unknown number

From given,

7 added to square of x = 7 times the x minus, 5

$7 + x^2 = 7x - 5$

Solve the above equation

$x^2 -7x +7+5 = 0\\\\x^2 - 7x + 12 = 0$

Split the middle term

$x^2 -3x - 4x + 12 = 0\\\\Group\ the\ expressions\\\\(x^2-3x) -(4x - 12) = 0\\\\Take\ the\ common\ factor\ out\\\\x(x -3) -4(x -3) = 0\\\\(x-3)(x-4) = 0$

We have two solutions

x - 3 = 0

x = 3

And

x - 4 = 0

x = 4

Thus number is 3 or 4

7 0

3 years ago