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3 years ago

Please help 30 points

Mathematics

1 answer:

mihalych1998 [28]3 years ago

8 0

Answer:

Step-by-step explanation:

40+16+y=180°

56+y=180°

y=180-56

y=124°

124+15+x=180°

139+x=180°

x=180-139

<em>x=41°</em>

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lianna [129]

Answer:

Step-by-step explanation:

D) 24 servings

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2 years ago

What’s the slope? explain please

kykrilka [37]

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3 years ago

PLEASE HELP ASAP IM REALLY TRING TO FINISH A stick has a length of $5$ units. The stick is then broken at two points, chosen at

Fed [463]

Answer:

0.16

Step-by-step explanation:

Length = 5 units
Number of broken sticks= 3
Equal lengths = 5 units/3

<u>See the picture attached for reference.</u>

As you see the best points are the green areas which covers 2 out of 5 zones.

<u>Since it is same for both broken points, the probability of this is:</u>

2/5*2/5 = 4/ 25 = 0.16

<u>Answer is</u> 0.16

8 0

2 years ago

Solve the following:<br> 2x - 2 = 4x + 6

olchik [2.2K]

Answer:

x = -4

Step-by-step explanation:

<u>Step 1: Subtract 2x from both sides</u>

2x - 2 - 2x = 4x + 6 - 2x

<em />

<u>Step 2: Subtract 6 from both sides</u>

-2 - 6 = 2x + 6 - 6

<em />

<u>Step 3: Divide both sides by 2</u>

-8 / 2 = 2x / 2

<em />

Answer: x = -4

5 0

3 years ago

Solving separable differential equation DY over DX equals xy+3x-y-3/xy-2x+4y-8

Ivanshal [37]

It looks like the differential equation is

$\dfrac{dy}{dx} = \dfrac{xy + 3x - y - 3}{xy - 2x + 4y - 8}$

Factorize the right side by grouping.

$xy + 3x - y - 3 = x (y + 3) - (y + 3) = (x - 1) (y + 3)$

$xy - 2x + 4y - 8 = x (y - 2) + 4 (y - 2) = (x + 4) (y - 2)$

Now we can separate variables as

$\dfrac{dy}{dx} = \dfrac{(x-1)(y+3)}{(x+4)(y-2)} \implies \dfrac{y-2}{y+3} \, dy = \dfrac{x-1}{x+4} \, dx$

Integrate both sides.

$\displaystyle \int \frac{y-2}{y+3} \, dy = \int \frac{x-1}{x+4} \, dx$

$\displaystyle \int \left(1 - \frac5{y+3}\right) \, dy = \int \left(1 - \frac5{x + 4}\right) \, dx$

$\implies \boxed{y - 5 \ln|y + 3| = x - 5 \ln|x + 4| + C}$

You could go on to solve for $y$ explicitly as a function of $x$ , but that involves a special function called the "product logarithm" or "Lambert W" function, which is probably beyond your scope.

8 0

1 year ago