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3 years ago

in the figure, m angle fac equals m angle gbc. find m angle dbc. a. 152 degrees b. 180 degrees c. 208 degrees d. 332 degrees

Mathematics

1 answer:

Artemon [7]3 years ago

7 0

The answer will be A. 152 degrees

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Solve the following equation with the initial conditions. x¨ + 4 ˙x + 53x = 15 , x(0) = 8, x˙ = −19

Katen [24]

$x''+4x'+53x=15$

has characteristic equation

$r^2+4r+53=0$

with roots at $r=-2\pm7i$ . Then the characteristic solution is

$x_c=C_1e^{(-2+7i)t}+C_2e^{(-2-7i)t}=e^{-2t}\left(C_1\cos(7t)+C_2\sin(7t)\right)$

For the particular solution, consider the ansatz $x_p=a_0$ , whose first and second derivatives vanish. Substitute $x_p$ and its derivatives into the equation:

$53a_0=15\implies a_0=\dfrac{15}{53}$

Then the general solution to the equation is

$x=e^{-2t}\left(C_1\cos(7t)+C_2\sin(7t)\right)+\dfrac{15}{53}$

With $x(0)=8$ , we have

$8=C_1+\dfrac{15}{53}\implies C_1=\dfrac{409}{53}$

and with $x'(0)=-19$ ,

$-19=-2C_1+7C_2\implies C_2=-\dfrac{27}{53}$

Then the particular solution to the equation is

$\boxed{x(t)=\dfrac1{53}e^{-2t}(409cos(7t)-27\sin(7t)+15)}$

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3 years ago

Charlie bought 2 pounds of pears for $0.76 per pound and 2 pounds of grapes for $1.40 per pound. How much

Vedmedyk [2.9K]

0.76 x 2 = 1.52
1.40 x 2 = 2.80
1.52 + 2.80= 4.32

Answer is 4 dollars and 32 cents

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3 years ago

25= a/5 what is that?

Rina8888 [55]

$\huge\bold\red{Answer}$

$25 = \frac{a}{5} \\ a = 25 \times 5 \\ a = 125$

$❣..ℏ✺℘ḙ !т ℏḙℓ℘ṧ ʏ✺ṳ..❣$

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3 years ago

Read 2 more answers

Is this the correct answer please someone respond !!!!!!

Dmitriy789 [7]

Yes! It is correct!!!!!!!

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4 years ago

R.<br> BSolve for x.<br> X+19 x+29

agasfer [191]

Answer:

what kind of math412412321424214

Step-by-step explanation:

???12312442141252112

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3 years ago