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The solid surface area is equal to the solid volume. Find the value of x? The measurements of the rectangular prism is 9 inches

Fudgin [204]

Answer:

$x=7.2$

Step-by-step explanation:

Let x represent height of the prism.

We know that volume of rectangular is equal to product of its height, width and length.

$\text{Surface area of rectangular prism}=2(wl+lh+hw)$ , where w, h and l represents width, length and height respectively.

We have been given that the surface area of rectangular prism is equal to the volume of the prism. So we can set an equation as:

$lwh=2(wl+lh+hw)$

We are also told that the measurements of the rectangular prism is 9 inches long and 4 inches wide. Upon substituting these values in above equation, we will get:

$9\cdot 4\cdot x=2(4\cdot 9+9\cdot x+x\cdot 4)$

Let us solve for x.

$36x=2(36+9x+4x)$

$36x=2(36+13x)$

$36x=72+26x$

$36x-26x=72+26x-26x$

$10x=72$

$x=\frac{72}{10}\\\\x=7.2$

Therefore, the value of x is 7.2 inches.

6 0

3 years ago

PLEASE HELP 100 POINTS GUARANTEED! PLEASE PUT THE ANSWER IN AN ALGEBRAIC EXPRESSION!!! ANSWER ALL AND YOU WILL RECEIVE BRAINLIES

zlopas [31]

Answer:

1.

-2 = x/4 + 1

Subtract 1 from both sides:

-2 - 1 = x/4 + 1 - 1

-3 = x/4

Multiply both sides by 4:

-3 * 4 = x/4 * 4

-12 = x

2.

3x+5

3.

X= 12 or 18

This could be read two different ways.

0=2/3x-12

12=2/3x

12÷2/3=x

12*3/2=x

18=x

—-OR—-

0=2/3(x-12)

0=2/3x-8

8=2/3x

8÷2/3=x

8*3/2=x

12=x

7 0

3 years ago

Find the length of AB, given that be is a median of the triangle and AC = 30.

RSB [31]

SOLUTION

Draw the diagram

a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side.

Hence

$|DB|\text{ bisect |AC|}$

SInce AC=30, Then

$\begin{gathered} AB=15,\text{ CB= 15} \\ \text{Hence} \\ |AB|=15 \end{gathered}$

Thus, from the median properties of a triangle, AB = 15

6 0

1 year ago

PLEASE help !!! I’m struggling and I suck at math. Can someone answer this for me? For points and brainly !

Helen [10]

Answer:

$\huge\boxed{2329 \ \text{pounds}}$

Step-by-step explanation:

In order to solve this equation, let's see what we already know.

We know two points on the graph <em>which we can use to find the slope</em>

That's about it.

However, this can come useful to find the slope between the two points, which is the slope for the entire graph (since this is linear). The slope between two points is usually defined as $\frac{\Delta y}{\Delta x}$ (change in y / change in x). Our two points are (18, 2017) and (48, 2212).

The change in y between our two points is $2212-2017 = 195$ , and the change in x is $48 - 18 = 30$ . Our slope will then be $\frac{195}{30}$ , which comes out to be approximately 6.5. Therefore, our slope is 6.5.

Now that we know the slope, we can substitute inside our equation in slope intercept form.

$y = 6.5x+b$

We have yet to find b, the y-intercept (how much the plane itself weighs). To find b, we can substitute a point on the graph into the equation and solve for b. We know that the point (18, 2017) is on the graph so let's use that.