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Alecsey [184]
3 years ago
12

Pythagorean Theorem

Mathematics
1 answer:
trasher [3.6K]3 years ago
8 0

Answer:

it's the last one because um yeah

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Tank 1 initially contains 50 gals of water with 10 oz of salt in it, while tank 2 initially contains 20 gals of water with 15 oz
Naddik [55]
\dfrac{\mathrm dx_1}{\mathrm dt}=\dfrac{2\text{ oz}}{1\text{ gal}}\dfrac{5\text{ gal}}{1\text{ min}}-\dfrac{x_1(t)\text{ oz}}{50\text{ gal}}\dfrac{5\text{ gal}}{1\text{ min}}
\dfrac{\mathrm dx_2}{\mathrm dt}=\dfrac{x_1(t)\text{ oz}}{50\text{ gal}}\dfrac{5\text{ gal}}{1\text{ min}}-\dfrac{x_2(t)\text{ oz}}{20\text{ gal}}\dfrac{5\text{ gal}}{1\text{ min}}

\implies\begin{cases}\dfrac{\mathrm dx_1}{\mathrm dt}=10-\dfrac1{10}x_1\\\\\dfrac{\mathrm dx_2}{\mathrm dt}=\dfrac1{10}x_1-\dfrac14x_2\\\\x_1(0)=10\\\\x_2(0)=15\end{cases}
6 0
3 years ago
prem gave 1/3 of his property for charity of the rest he gave 2/3 to his wife and rest divided equally between his son and daugh
Anna11 [10]

Given parameters:

Fraction given to charity = \frac{1}{3}

Fraction given to wife = \frac{2}{3}

Unknown:

Fraction given to son and daughter =?

Solution:

Let the total property  = x

    Fraction given to charity  = \frac{1}{3} x

    Fraction given to wife  = \frac{2}{3} x

The remaining was given to son and daughter = F

    So;

     Total property  = fraction given to charity + fraction given to wife + fraction given to son and daughter

         x  = \frac{1}{3} x + \frac{2}{3} x + F

            F = x - (\frac{1}{3} x + \frac{2}{3} x)

            F = 0

The son and daughter will not inherit anything

8 0
3 years ago
Simplify the picture below
podryga [215]
((x^2-3x-18)/(x+3))
((x-6)(x+3))/(x+3)
The x+3 on top cancels out the x+3 on the bottom so all you have left is

x-6


Hope I didn't mess up for your sake!
3 0
3 years ago
Given that a=43 ,b=82 , and c=28, solve triangle abc. round to the nearest tenth.
Virty [35]

Answer:

NO triangle exists.

Step-by-step explanation:

Given that the sides of the triangle are  a=43 ,b=82 , and c=28

To solve for unknown angles of the triangle

PLease refresh the triangle rule of inequality that the sum of any two sides is always greater than the third side

Before solving the triangle, let us check whether this is true.

a+b >c

b+c>a

But a+c is not greater than b.

Hence there cannot be any real triangle with these sides given.

Answer is no triangle exists.

3 0
3 years ago
Read 2 more answers
Write the equation that passes through the given point and has the slope indicated: (1, -3); with slope (-3/5)
TiliK225 [7]

Answer:

y = -3/5x - 12/5

Step-by-step explanation:

The equation I'm going to give is going to be in slope-intercept form. If you need it in point-slope, I can do so in an edit or the comments.

Slope-intercept form is: <em>y = mx + b</em> where m is the slope, b is the y-intercept.

So let's plug in our given slope:

y = -3/5x + b

Using this, we now plug in our x- and y-coordinates from the given point to solve for b.

-3 = -3/5(1) + b

-3 = -3/5 + b

Add 3/5 to both sides to isolate variable b.

-3 + 3/5 = b

-15/5 + 3/5 = b

-12/5 = b

Plug this new info back into the original equation and your answer is

y = -3/5x - 12/5

6 0
3 years ago
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