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Jet001 [13]
3 years ago
11

Complete the following for a rectangular prism

Mathematics
2 answers:
Ber [7]3 years ago
8 0

Answer:

Width : 8cm

Surface Area : 272cm^2

Step-by-step explanation:

Let's consider the formula for the volume of a rectangular prism.

V=whl

Plug the values we know into the equation.

192=w*2*12 \\ \\ 192=24w \\ \\ w=8

So the width is 8cm.

Now let's consider the formula for the surface area of a rectangular prism.

A=2(wl+hl+hw)

Plug in the values we know into the equation.

A=2(16+24+96) \\ \\ A=2*136 \\ \\ A=272

So the surface area is 272cm^2.

denis-greek [22]3 years ago
6 0

Width= 8 cm

Because 192 / 2 = 96 / 12 = 8

SA= (perimeter * height) + 2 (length * width)

SA= (20*12)+2(2*8)

SA= 240+32

SA= 272 cm2

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3 years ago
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(20 points) please give me motivation to study and study tips or test taking tips for finals. it would be greatly appreciated.
Daniel [21]

Answer: Think about graduating. Think about never having to take the courses again. You're almost at the finish line! It'll be worth it. You've worked hard all year for this. You can do it!

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6 0
3 years ago
Find the numbers b such that the average value of f(x) = 7 + 10x − 9x2 on the interval [0, b] is equal to 8.
barxatty [35]

Answer:

The numbers b such that the average value of f(x) = 7 +10\cdot x - 9\cdot x^{2} on the interval [0, b] is equal to 8 are b_{1} \approx 1.434 and b_{2} \approx 0.232.

Step-by-step explanation:

The mean value of function within a given interval is given by the following integral:

\bar f = \frac{1}{b-a}\cdot \int\limits^b_a {f(x)} \, dx

If f(x) = 7 +10\cdot x - 9\cdot x^{2}, a = 0, b = b and \bar f = 8, then:

\frac{1}{b}\cdot \int\limits^b_0 {7+10\cdot x -9\cdot x^{2}} \, dx = 8

\frac{7}{b}\int\limits^b_0 \, dx  + \frac{10}{b}  \int\limits^b_0 {x}\, dx - \frac{9}{b}  \int\limits^b_0 {x^{2}}\, dx = 8

\left(\frac{7}{b} \right)\cdot b + \left(\frac{10}{b} \right)\cdot \left(\frac{b^{2}}{2} \right)-\left(\frac{9}{b} \right)\cdot \left(\frac{b^{3}}{3} \right) = 8

7 + 5\cdot b - 3\cdot b^{2} = 8

3\cdot b^{2}-5\cdot b +1 = 0

The roots of this polynomial are determined by the Quadratic Formula:

b_{1} \approx 1.434 and b_{2} \approx 0.232.

The numbers b such that the average value of f(x) = 7 +10\cdot x - 9\cdot x^{2} on the interval [0, b] is equal to 8 are b_{1} \approx 1.434 and b_{2} \approx 0.232.

7 0
3 years ago
X-5=17??????????????????
yKpoI14uk [10]

Answer:

x=21

Step-by-step explanation:

add 5 to both sides. it gives u 21

4 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B80%7D%7B100%7D%20%20%3D%20" id="TexFormula1" title=" \frac{80}{100} = " alt=" \f
alukav5142 [94]
Answer: 0.8 or 80% (either way is correct)

Explanations 80/100 equals 80 divided by 100 which equals 0.8 ; 0.8 equals 80%

(Hope this helps!)
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