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3 years ago

If the total surface area of lidless cubical box is 90 cm square find the length of edge of the box

Mathematics

1 answer:

nikdorinn [45]3 years ago

4 0

Answer:

√18

Step-by-step explanation:

Ok, there's 5 squares that make up the box since the top's missing, so do:

90/5 --> 18

Since squares are simply length^2 to get the area, square root this value to give you your answer for each side length of this box:

√18

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Leno4ka [110]

Answer:

$\frac{s^2-25}{(s^2+25)^2}$

Step-by-step explanation:

Let's use the definition of the Laplace transform and the identity given: $\mathcal{L}[t \cos 5t]=(-1)F'(s)$ with $F(s)=\mathcal{L}[\cos 5t]$ .

Now, $F(s)=\int_0 ^{+ \infty}e^{-st}\cos(5t) dt$ . Using integration by parts with u=e^(-st) and dv=cos(5t), we obtain that $F(s)=\frac{1}{5}\sin(5t)e^{-st} |_{0}^{+\infty}+\frac{s}{5}\int_0 ^{+ \infty}e^{-st}\sin(5t) dt=\int_0 ^{+ \infty}e^{-st}\sin(5t) dt$ .

Using integration by parts again with u=e^(-st) and dv=sin(5t), we obtain that

$F(s)=\frac{s}{5}(\frac{-1}{5}\cos(5t)e^{-st} |_{0}^{+\infty}-\frac{s}{5}\int_0 ^{+ \infty}e^{-st}\sin(5t) dt)=\frac{s}{5}(\frac{1}{5}-\frac{s}{5}\int_0^{+ \infty}e^{-st}\sin(5t) dt)=\frac{s}{5}-\frac{s^2}{25}F(s)$ .

Solving for F(s) on the last equation, $F(s)=\frac{s}{s^2+25}$ , then the Laplace transform we were searching is $-F'(s)=\frac{s^2-25}{(s^2+25)^2}$

3 0

3 years ago

Y=2x^2-6x+4<br><br>separate the values with a comma

Zolol [24]

Y= 2 (x^2-3x+2)
y= 2 (x-1) (x-2)
x=2 and x=1

8 0

3 years ago

Read 2 more answers

which is not a result of multiplying the height of a rectangular prism by a scale factor of 1/2 and I need work to

chubhunter [2.5K]

C is the answer

for example

assume that the height of a rectangular prism is 2, width is 1 and length measures 3

the volume will be 6
(2*1*3)

if we multiply height with the scale factor of 1/2
it becomes 1

so the volume will be 3
(1*1*3)

this situation goes for other examples, too

good luck

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3 years ago

13(6x – 5) – x = 13 – 2(x + 1

elena-s [515]

Answer:

Step-by-step explanation:

$13(6x-5)-x=13-2(x+1)\\78x-65-x=13-2x-2\\77x-65=11-2x\\77x+2x=11+65\\x=76/79\\x=0.9620$

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3 years ago

A line that a graph approaches but does not reach. It may be a vertical, horizontal, or slanted line.

Ivenika [448]

Answer:

asymptote

Step-by-step explanation:

7 0

3 years ago

If the total surface area of lidless cubical box is 90 cm square find the length of edge of the box​

If the total surface area of lidless cubical box is 90 cm square find the length of edge of the box