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Right scalene triangle.
Sides: a = 10 b = 24 c = 26

Area: T = 120
Perimeter: p = 60
Semiperimeter: s = 30

Angle ∠ A = α = 22.62° = 22°37'11″ = 0.395 rad
Angle ∠ B = β = 67.38° = 67°22'49″ = 1.176 rad
Angle ∠ C = γ = 90° = 1.571 rad

Inradius: r = 4
Circumradius: R = 13

Area =Pi x r^2
Area of the Circumcircle =Pi x 13^2
Area of the Incircle           =Pi x 4^2
[a - b] =13^2Pi - 4^2Pi
[a - b] = 153Pi

It often helps to draw a graph of the function:

For the average length of the two pieces of string.... add them together and divide by 2

(1.5 + 4.5) / 2=

6/2 = 3 inches average

If you are not in calculus, you may not know how to do the deriviative of the function.

This is a bowl shaped parabola (because the leading coefficient is positive)

   the minumum value of the fiunction will occur at an 'x' value of   - b/2a  

        where  b =  -12    and   a = 5

    Use THIS 'x' value in the equation to calculate the minumum value ('y') of the function.....

Put the equations into    y = mx + b     form     m = slope    if  m is the same in both equations, they are parallel

First one

2x + 3y = 4k

3y = -2x + 4k

y = -2/3 x + 4/3 k

Second one

x - 2ky=7

2ky = x-7

y = 1/(2k) x  - 1/(2k) *7

Now for the lines to be parallel     -2/3 = 1/(2k)      solve for 'k'

lol its okay if you dont. you'll make your new bunch of friends here hopefully :)

Use the first point ,  0,5     to find the value of  'c'

    then use the second set of points to find an equation with 'a' and 'b'  in it

       use the third set of points to find ANOTHER equation with 'a' and 'b' in it

                then use the two equations to solve for 'a' and 'b' via elimination or substitution. 

                        Re-post if you need more help....     Go !  

See  https://web2.0calc.com/questions/pls-help_14236#2

Like so:

What di did is thought about the 50 people (stars) and they had to be separated in 4 groups.

You need 3 bars to do this. 

ex  ***|*****|******|**     here you can see that these stars (not 50) are separated into 4 groups using just 3 bars.

So altogether you have 50 stars place 3 bars and you need to know how many places the set of 3 bars can go. 

That is 53C3 possibilities.

As follows:

Arun and Arjun are 2 shifty witnesses in a court case. Arun tells the truth 75% of the time, and Arjun tells the truth 80% of the time.

If they were to narrate the same incident, what is the percentage probability that they will contradict each other?

Prob = prob(Arun tells truth)*prob(Arjun lies) + prob(Arun lies)*prob(Arjun tells truth)

Prob = 0.75*0.2 + 0.25*0.8 = 0.35   or 35%

Find the minimum value of y = 5x^2 - 12x + 15.

Hello Guest!

\( y = 5x^2 - 12x + 15\\ \frac{dy}{dx}=10x-12=0\\ x_{min}=\frac{12}{10}\)

\(x_{Pmin}=\frac{6}{5}\)

\(y_{min}=5\cdot \frac{36}{25}-12\cdot \frac{6}{5}+15\)

\(y_{min}=\frac{5\cdot 36-12\cdot6\cdot 5+15\cdot 25}{25}=\frac{195}{25}\)

\(y_{min}=\frac{39}{5}\)

\(P_{min}(1.2,7.8)\)

  !

This is very easy!

Hints:

1/    This is the right triangle.

2/    Find the area of a triangle using Heron's formula.

3/    r = A/s

4/    R = abc/4rs

Enough from me

How did you come up with 144pi? Can you explain it?

Angle  (CAD) = 45º          Ratio  AD :  BD  is   5 : 3

AB = 8 / sin(45º) = 8√2         AD = 5√2           BD = 3√2

AC = CD = sin(45º) * 5√2  

C = (2,-1)  

Can you help me on this too? One piecee of string is 1.5 inches long and another piece of string is 4.5 inches long. What is the average length, in inches, of these two pieces of string

There are 185 triangles formed.

1) The roots are -4 +/- 2*sqrt(3), so A + B = 7/12.

\(f(\sqrt[3]{-8}) + f(-\pi) + f(\sqrt{50}) + f(\frac{9}{2}) = -1 + 9 + 50 + 2 = 60\)

The answer is B) 360.

By Pythagoras, the distance is sqrt(7).