All categories

1 year ago

If x is a positive integer, what is the length of the hypotenuse triangle C?

Mathematics

1 answer:

tresset_1 [31]1 year ago

3 0

Answer:

c = 12.73

Step-by-step explanation:

a^2 + b^2 = c^2

9^2 + 9^2 = c^2

81 + 81 = c^2

162 = c^2

c = $\sqrt{162}$

c = 12.7279221

c = 12.73

Mark brainliest please!

You might be interested in

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

The half-life of cobalt-60 (used in

Likurg_2 [28]

Answer:

6.25 gm left

Step-by-step explanation:

Find the number of half lives in 26.3 years

26.3 / 5.26 = 5 half lives

(1/2) ^5 = 1/32 nd of the original will be left

1/32 * 200g = 6.25 gm left

5 0

2 years ago

Ill give brainlist please i beg ulol

denis23 [38]

GHE i think because it’s the same degrees

5 0

3 years ago

Read 2 more answers

What is the range of the data below? 15, 19, 17, 17, 14, 13, 18, 21, 16, 14

Black_prince [1.1K]

You subtract the biggest number from the smallest number...
21-13=8

3 0

2 years ago

Read 2 more answers

On a unit circle, the terminal point of 0 is (sqrt3/2,1/2) What is 0?

san4es73 [151]

Answer:

The measure of $\theta$ is 30°.

Step-by-step explanation:

In the statement, the angle has been misrepresented. The corrected statement is described below:

"On a unit circle, the terminal point of $\theta$ is $\left(\frac{\sqrt{3}}{2}, \frac{1}{2} \right)$ . What is $\theta$ ?"

The measure of the angle ( $\theta$ ), in radians, is in standard form, that is, it is done with respect to the +x semiaxis. The measure of the angle whose terminal point is of the form $(x,y)$ is determined by the following inverse trigonometric function:

$\theta = \tan^{-1}\left(\frac{y}{x} \right)$ (1)

If we know that $x = \frac{\sqrt{3}}{2}$ and $y = \frac{1}{2}$ , then the measure of $\theta$ is:

$\theta = \tan^{-1} \frac{\sqrt{3}}{3}$

$\theta = 30^{\circ}$

The measure of $\theta$ is 30°.

4 0

2 years ago

Read 2 more answers