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2 years ago

In centimeters, what is the unknown length in this right triangle? 61cm 60 cm

Mathematics

1 answer:

defon2 years ago

4 0

Answer:

the opposite of this right-angled triangle is 11 cm

Step-by-step explanation:

opposite= 61 SQUARED - 60SQUARED

= 3721 - 3600

= 121 root

= 11cm

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Please help me with the below question.

VMariaS [17]

By letting

$y = \displaystyle \sum_{n=0}^\infty c_n x^{n+r}$

we get derivatives

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

$y'' = \displaystyle \sum_{n=0}^\infty (n+r) (n+r-1) c_n x^{n+r-2}$

a) Substitute these into the differential equation. After a lot of simplification, the equation reduces to

$5r(r-1) c_0 x^{r-1} + \displaystyle \sum_{n=1}^\infty \bigg( (n+r+1) c_n + (n + r + 1) (5n + 5r + 1) c_{n+1} \bigg) x^{n+r} = 0$

Examine the lowest degree term $\left(x^{r-1}\right)$ , which gives rise to the indicial equation,

$5r (r - 1) + r = 0 \implies 5r^2 - 4r = r (5r - 4) = 0$

with roots at r = 0 and r = 4/5.

b) The recurrence for the coefficients $c_k$ is

$(k+r+1) c_k + (k + r + 1) (5k + 5r + 1) c_{k+1} = 0 \implies c_{k+1} = -\dfrac{c_k}{5k+5r+1}$

so that with r = 4/5, the coefficients are governed by

$c_{k+1} = -\dfrac{c_k}{5k+5} \implies \boxed{g(k) = -\dfrac1{5k+5}}$

c) Starting with $c_0=1$ , we find

$c_1 = -\dfrac{c_0}5 = -\dfrac15$

$c_2 = -\dfrac{c_1}{10} = \dfrac1{50}$

so that the first three terms of the solution are

$\displaystyle \sum_{n=0}^2 c_n x^{n + 4/5} = \boxed{x^{4/5} - \dfrac15 x^{9/5} + \frac1{50} x^{13/5}}$

4 0

2 years ago

Write a linear equation in the form of y=mx+b

viktelen [127]

Answer:

y=6x-4

(dark blue)

Step-by-step explanation:

x=0 y=-4

y=6x-4

y=6(0)-4

y=-4

4 0

2 years ago

The first three steps in determining the solution set of the system of equations algebraically are shown.

jolli1 [7]

Since both are equivalent to y, the equations must be equivalent.
x^2-x-3= -3x+5
x^2+2x-8=0

(x+4)(x-2)=0
x=-4, x=2

Plug the values of x in to either equation
y=-3(-4)+5
y= 12+5
y=17

y= -3(2)+5
y=-6+5
y=-1

Final answer: (-4,17) and (2,-1)

8 0

3 years ago

Read 2 more answers

Pls help this is major, ill mark u brainliest

Lera25 [3.4K]

Answer:

105

Step-by-step explanation:

$A=lw$ $A=$ (.5)πr²

to get the area of the shaded parts you have to subtract the area of the semicircle from the area of the rectangle

$A=(16)(9)$

$A=144$

$A=\frac{(3.14)(5)^2}{2}$ $A=\frac{(3.14)(25)}{2}$ $A=\frac{78.5}{2}$

$A=39.25$

subtract the areas

$144-39.25=104.75$

$104.75$ ≅ $105$

4 0

2 years ago

Could anyone help with this, thanks !!

pogonyaev

Answer:

Step-by-step explanation:

5 0

3 years ago