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3 years ago

Look at the formula for finding the volume of a rectangular prism below.

Mathematics

1 answer:

krek1111 [17]3 years ago

3 0

V = LWH.....to find W, divide both sides by LH
V / LH = W <===

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HELP ME please!!!!!!!

Aleks04 [339]

Answer:

$n=20\ units$

Step-by-step explanation:

we know that

If two figures are similar, then the ratio o its corresponding sides is proportional, and this ratio is called the scale factor

In this problem the corresponding sides are

12 units and 15 units

16 units and n units

therefore

$\frac{12}{15}=\frac{16}{n}$

Solve for n

$n=\frac{15*16}{12}$

$n=20\ units$

7 0

4 years ago

Solve the linear differential equation 2xy' + y = 2√x

77julia77 [94]

Answer:

Step-by-step explanation:

General form of the linear differential equation can be written as:

$\frac{dy}{dx}+P(x)y=Q(x)$

For this case, we can rewrite the equation as:

$\frac{dy}{dx}+\frac{1}{2x}y=\frac{\sqrt{x}}{x}$

Here $P(x) =\frac{1}{2x}; Q(x)=\frac{\sqrt{x}}{x}$

To find the solution (y(x)), we can use the integration factor method:

$Fy(x)=\int Q(x)Fdx+C \rightarrow F=e^{\int P(x)dx$

Then $F=e^{\int \frac{1}{2x}dx}=e^{\frac{1}{2}\ln|x|\right}=\sqrt{|x|}$

So, we can find:

$y\sqrt{|x|}=\int \frac{\sqrt{x}\sqrt{|x|}}{x}dx+C$

Suppose that $x\in \double R$ , then $\sqrt{|x|}=\sqrt{x}$ , and we find:

$y\sqrt{x}=x+C \rightarrow y(x)=\sqrt{x}+\frac{C\sqrt{x}}{x}$

To check our solution is right or not, put your y(x) back to the ODE:

$y' = \frac{1}{2\sqrt{x}}-\frac{C}{2\sqrt{x^{3}}}$

$2xy'=\frac{x-C}{\sqrt{x}}$

$2xy'+y=\frac{x-C}{\sqrt{x}}+\sqrt{x}+\frac{C\sqrt{x}}{x}=2\sqrt{x}$

(it means your solution is right)

3 0

2 years ago

What fraction of 1 km is 725 m?

guajiro [1.7K]

Answer:

It is 725/1000.

Step-by-step explanation:

The fraction can be simplified but that will result in a loss of information about its accuracy.

have a great day!

5 0

3 years ago

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A trail is 2940 miles long. it begins in city a and ends in city

d1i1m1o1n [39]

In this question, the trail is 2940 miles long and Manfred is already hiking the 3/7 of the trail. You are asked how many miles he has a hike. Then to find it you just need to multiply the trail length with the ratio of hike/total trail. The calculation would be:

2940 miles * 3/7 = 1260 miles

5 0

4 years ago

Copy the following number line, and mark each number on your number line. I've never been good with number lines!

Assoli18 [71]

I downloaded it and color-marked the answers on the numberline

5 0

4 years ago

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