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2 years ago

you are asked to draw a triangle with side length of 10in,7in and 2in how many triangles like this can you draw

Mathematics

1 answer:

Aleks [24]2 years ago

5 0

None because two sides of the triangle added together have to be greater than the other side

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A rectangle has a width of 2cm and a perimeter of 25cm. Find the length and the area .

Gwar [14]

2w + 2l = 25

2 * 2 + 2l = 25

Simplfiy.

4 + 2l = 25

Subtract 4 from both sides.

2l = 21

Divide both sides by 2.

l = 10.5

Now that we have the value of l, we can find the area.

A = lw

A = 10.5 * 2

A = 21.

The length is 10.5cm.

The area of the rectangle is 21cm^2

5 0

2 years ago

1) Use power series to find the series solution to the differential equation y'+2y = 0 PLEASE SHOW ALL YOUR WORK, OR RISK LOSING

iogann1982 [59]

$y=\displaystyle\sum_{n=0}^\infty a_nx^n$

then

$y'=\displaystyle\sum_{n=1}^\infty na_nx^{n-1}=\sum_{n=0}^\infty(n+1)a_{n+1}x^n$

The ODE in terms of these series is

$\displaystyle\sum_{n=0}^\infty(n+1)a_{n+1}x^n+2\sum_{n=0}^\infty a_nx^n=0$

$\displaystyle\sum_{n=0}^\infty\bigg(a_{n+1}+2a_n\bigg)x^n=0$

$\implies\begin{cases}a_0=y(0)\\(n+1)a_{n+1}=-2a_n&\text{for }n\ge0\end{cases}$

We can solve the recurrence exactly by substitution:

$a_{n+1}=-\dfrac2{n+1}a_n=\dfrac{2^2}{(n+1)n}a_{n-1}=-\dfrac{2^3}{(n+1)n(n-1)}a_{n-2}=\cdots=\dfrac{(-2)^{n+1}}{(n+1)!}a_0$

$\implies a_n=\dfrac{(-2)^n}{n!}a_0$

So the ODE has solution

$y(x)=\displaystyle a_0\sum_{n=0}^\infty\frac{(-2x)^n}{n!}$

which you may recognize as the power series of the exponential function. Then

$\boxed{y(x)=a_0e^{-2x}}$

7 0

2 years ago

I need help I don't understand it at all

DedPeter [7]

Answer:

x = 9

Step-by-step explanation:

Given

5x - 31 = 23 - x ( add x to both sides )

6x - 31 = 23 ( add 31 to both sides )

6x = 54 ( divide both sides by 6 )

x = 9

8 0

3 years ago

Read 2 more answers

Estimate the area of the parallelogram.

Elan Coil [88]

Answer:

Step-by-step explanation:

6 0

2 years ago

The difference between 3.6 and a number is 2.95, as shown below. What number should go in the box to complete the subtraction pr

Sophie [7]

The missing number is 6. 3.6-.65 = 2.95
3.6 - 2.95 = .65

Hope it helps ;)))

8 0

2 years ago