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3 years ago

5

If two angles of a triangle are 10 degrees and 20 degrees, then the triangle is ????

2 answers:

Wewaii [24]3 years ago

5 0

Answer:

Scalene

Step-by-step explanation:

Because all triangular angles add up to 180 degrees.

10+20=30

180-30=150

None of those angles are the same.

Alchen [17]3 years ago

3 0

Scalene because all angles of a triangle add up to 180 degrees. So we need to do this: 10+20=30 180-30=150. So none of those angles are the same.

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Consider the following differential equation to be solved by undetermined coefficients. y(4) − 2y''' + y'' = ex + 1 Write the gi

kompoz [17]

Answer:

The general solution is

$y= (C_{1}+C_{1}x) e^0x+(C_{3}+C_{4}x) e^x +\frac{1}{2} (e^x(x^2-2x+2)-e^x(2(x-1)+e^x(2))$

+ $\frac{x^2}{2}$

Step-by-step explanation:

Step :1:-

Given differential equation y(4) − 2y''' + y'' = e^x + 1

The differential operator form of the given differential equation

$(D^4 -2D^3+D^2)y = e^x+1$

comparing f(D)y = e^ x+1

The auxiliary equation (A.E) f(m) = 0

$m^4 -2m^3+m^2 = 0$

$m^2(m^2 -2m+1) = 0$

$(m^2 -2m+1) this is the expansion of (a-b)^2$

$m^2 =0 and (m-1)^2 =0$

The roots are m=0,0 and m =1,1

complementary function is $y_{c} = (C_{1}+C_{1}x) e^0x+(C_{3}+C_{4}x) e^x$

<u>Step 2</u>:-

The particular equation is $\frac{1}{f(D)} Q$

P.I = $\frac{1}{D^2(D-1)^2} e^x+1$

P.I = $\frac{1}{D^2(D-1)^2} e^x+\frac{1}{D^2(D-1)^2}e^{0x}$

P.I = $I_{1} +I_{2}$

$\frac{1}{D^2} (\frac{x^2}{2!} )e^x + \frac{1}{D^{2} } e^{0x}$

$\frac{1}{D} means integration$

$\frac{1}{D^2} (\frac{x^2}{2!} )e^x = \frac{1}{2D} \int\limits {x^2e^x} \, dx$

applying in integration u v formula

$\int\limits {uv} \, dx = u\int\limits {v} \, dx - \int\limits ({u^{l}\int\limits{v} \, dx } )\, dx$

$I_{1}$ = $\frac{1}{D^2(D-1)^2} e^x$

$\frac{1}{2D} (e^x(x^2)-e^x(2x)+e^x(2))$

$\frac{1}{2} (e^x(x^2-2x+2)-e^x(2(x-1)+e^x(2))$

$I_{2}$ $= \frac{1}{D^2(D-1)^2}e^{0x}$

$\frac{1}{D} \int\limits {1} \, dx= \frac{1}{D} x$

again integration $\frac{1}{D} x = \frac{x^2}{2!}$

The general solution is $y = y_{C} +y_{P}$

$y= (C_{1}+C_{1}x) e^0x+(C_{3}+C_{4}x) e^x +\frac{1}{2} (e^x(x^2-2x+2)-e^x(2(x-1)+e^x(2))$

+ $\frac{x^2}{2!}$

3 0

3 years ago

Still in class please need this fast

ivanzaharov [21]

Answer:

12 km

Step-by-step explanation:

C is 5 km

4+3+5=12

pls brainliest

7 0

2 years ago

Read 2 more answers

What is the best metric unit to use for the mass of a grasshopper

mixas84 [53]

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷The best metric unit to use for the mass of a grasshopper is grams, because a grasshopper is very light and a gram is small.

One gram is about the weight of a paper clip or a butterfly.

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

TROLLER

6 0

3 years ago

Read 2 more answers

Joel walked 2/5 of a mile to the store, 3/10 of a mile to the library, and 1/20 of a mile to the post office. Let x = the total

nadezda [96]

3/4 a mile is the answer

4 0

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Unit of Measurement, a punk/disco band, was signed up to play a benefit

vova2212 [387]

D because they played for two days so that makes you multiply the number of seconds by the same number

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3 years ago