Solve and write the resulting inequality in words: x + 2

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

2 years ago

Which is true?

aksik [14]

I believe the correct answer is A.

4 0

2 years ago

Read 2 more answers

Miriam makes 214 gallons of punch for a school event. How many 4‐ounce servings of punch can she serve ?

yawa3891 [41]

Convert gallons to ounces
There 128 ounces in 1 gallon
So you would multiply
(214gal)*(128oz/1gal)=27392 ounces

27392oz / 4 oz = 6848 cups

5 0

2 years ago

30 points please..I will report your answer if not right Thanks

ella [17]

<h3>Answer: SAS</h3>

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How to get this answer:

We're told that AD = BC, so that is one pair of sides that are congruent. This forms the first "S" in "SAS"

The "A" refers to the congruent angles, which happen to be angle DAB and angle CBA, both are 90 degrees

The second "S" in "SAS" is the second pair of congruent sides. Those two sides are the overlapping shared side of AB. It might help to peel the two triangles apart to get a better look.

Note how the angles are between the two pairs of sides mentioned.

4 0

2 years ago

12.) Find the x-intercept and y intercept of the following equation. 9x + 6y = -36

Alik [6]

Answer:

Thevalue of x-intercept is 0

and y intercept is-6.

Step-by-step explanation:

here,9x+6y=-36

9x = -36 - 6y

x=(-36 -6y)/9

x=(-12-2y)/9.........(i)

putting value of x in question

9[(-12-2y)/9]+6y=-36

-12-2y+6y= -36

-12+4y= -36

4y=-24

y=-6

puting value of x in equation (i)

x=(-12-2y)/9

x=(-12-2×-6)/9

x=0

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4 0

2 years ago

Solve and write the resulting inequality in words: x + 2 < 3