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3 years ago

Please assist in solving the system of equation please and thank you

Mathematics

1 answer:

morpeh [17]3 years ago

8 0

Okay so how you solve an equation is listed here:
hmm lets say 4x + 1 ÷2= 6

4x + 1 ~÷2~= 6
~x2~ x2
------------------------
4x~+1~ 12
~ -1~ -1
-------------------------
4x. 11
÷4. ÷4
-----------------------
x. = 2.75

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What is 120 divided by20

anzhelika [568]

Answer:

Step-by-step explanation:

120/20=5

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3 years ago

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7.) A man is in a boat that is floating 175 feet from the base of a

Delvig [45]

Answer:

The angle of depression between the cliff and the boat is $48.8141^\circ$

Step-by-step explanation:

Given:

Base width of the cliff=175 foot

Height of the cliff= 200 foot= 200 foot

To Find:

The angle of depression between the cliff and the boat=?

Solution:

Angle of Depression

The angle below horizontal that an observer must look to see an object that is lower than the observer.The angle of depression is congruent to the angle of elevation

$tan( y )= \frac{opposite}{adjacent}$

Substituting the values,

$tan( y )= \frac{200}{175}$

$tan( y )= 1.14$

$y= tan^{-1}(1.14)$

$y=48.8141^\circ$

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3 years ago

-6 + -4 + 3 = ? Adding integers

n200080 [17]

Step-by-step explanation:

Hey there!

Here,

$= - 6 + ( - 4) + 3$

While working with them remember some rules;

(-) + (-) = sign (-) but add them.
(+) + (+) = sign (+) and add.
(+) - (+) = subtract but keep sign of greator number.
(-) -(-) = subtract and keep the sign of greator number.

Likewise in your question,

$= - 6 - 4 + 3$

$= - 10 + 3$

$= - 7$

Hope it helps...

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3 years ago

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Consider the ODE, dy dx = y 2 1 + x (2) subject to condition y = 1 when x = 0, use your Euler code from class (modified if neces

makkiz [27]

Answer:

Computation.

Step-by-step explanation:

I'm not really sure if that's the analytical solution of the inital value problem,

because y(0)=11-ln(1-0)(3)=11. Howevwer, let us procede with the given values...

Let us assume that we are going to use euler with n=2 (two steps) and h=0.2(the size of each step)

The update rules of the Euler Methode are

$X_i = X_{i-1}+h=X_0+ih$

$m_i=\dfrac{dY}{dX} \biggr \rvert_{x_i} \\\\Y_{i+1}=m_i\cdot h+y_i$

Since the initial value problem tells us that Y=1 when X=0, we know that

$X_0=0$ and that $Y_0=1$ . Then, we have

$X_0=0\\\\X_1=0.2\\\\X_2=0.4$

and

$Y_0=1\\\\m_0=21 \cdot Y_0 + X_0 \cdot 2=21 \cdot 1 + 0=21\\\\Y_1=0.2 \cdot 21 + 1 =5.2\\\\m_1=21 \cdot Y_1 + X_1\cdot 2=21 \cdot 5.2 + 0.2 \cdot 2=109.6\\ \\Y_2=m_1 \cdot h + Y_1 = 109.6 \cdot 0.2 + 5.2= 27.12$

which gives us the points (0,1), (0.2, 5.2) and (0.4, 27.12).

Now, since we want to compare the analyticaland the Euler result, we first compute the value of y=11-ln(1-x)(3) for the values x=0, 0.2 and 0.4. We get that

$y(0)=11-\ln(1-0)(3)=11-ln(1)(3)=11\\\\Y(1)=11-\ln(1-0.2)(3)=11.67\\\\Y(2)=11-\ln(1-0.4)(3)=12.53$

and we compute $Y(i)-Y_i$ for each i.

It holds

$Y(0)-Y_0=11-1=10\\\\Y(1)-Y_1=11.67-5.2=6.47\\\\Y(2)-Y_2=12.53-27.12=-14.59$

which tells us that we have a really bad approximation, as I already stated there must be a mistake in the analytical solution since the intial values don't coincide. Also note that the curve that we get using the euler methose is growing faster than the analitical solution.

4 0

2 years ago

In right trapezoid MNPQ

Gala2k [10]

Answer:

about 252.78 ft

Step-by-step explanation:

Define angle QMP as α. Then ...

MN = 60·sin(α)

NP = 60·cos(α)

area MPN = (1/2)(MN)(NP) = 1800sin(α)cos(α)

PQ = 60tan(α)

area MPQ = (1/2)(MP)(PQ) = 1800tan(α)

The ratio of areas is 2.5, so we have ...

1800tan(α) = 2.5·1800sin(α)cos(α)

1 = 2.5cos(α)² . . . . . . divide by 1800tan(α)

cos(α) = √0.4 . . . . . . solve for cos(α)

Then the perimeter is ...

Perimeter = MN +NP +PQ +QM = 60sin(α) +60cos(α) +60tan(α) +60/cos(α)

= 60(sin(α) +cos(α) +tan(α) +sec(α))

= 60(0.774597 +0.632456 +1.224745 +1.581139)

= 60(4.212936) = 252.776

The perimeter of the trapezoid is about 252.776 feet.

_____

With perhaps a little more trouble, you can find the exact value to be ...

perimeter = (6√10)(7+√6+√15)

3 0

3 years ago