This is matlab test. please help me how on the paper how to solve it. If two sid

Question

This is matlab test. please help me how on the paper how to solve it.

If two sides of a right triangle are a=7 and b=5, use Matlab to calculate: The hypotenuse c The angle between sides a and c in both radians and degrees The area of the triangle Use Matlab to evaluate For the following test scores in a class use appropriate Matlab commands to calculate the mean, standard deviation, and variance: 86, 71, 98, 77, 64,100, 53, 72, 80, and 92. The balance for money invested continuously can be calculated according to B = Pe^rt. Where, (p) is principal, (r) is rate, and (t) is time in years. If p=800 and r=6%, calculate the balance (B) from t=l to t=15 in two year increments. Create a table of your results. There are 52 different cards in a deck. How many different hands of 5 cards each are possible? Remember, every hand can be arranged (5!) different ways. If A=-2+5i and B=3-i are two complex numbers, use Matlab to calculate: Product of A and B Absolute value of A Conjugate of B Angle for A For the matrix A= use Matlab to determine: The size and length of A The maximum of every column and its location Rearrange the matrix into one column and determine the mean and standard deviation of the new column matrix

Explanation / Answer

>> a = 7;
>> b =5;
>> c = sqrt(a^2+b^2)

c =

    8.6023

>> angle_rad=asin(a/c)

angle_rad =

    0.9505

>> angle_deg = 180*asin(a/c)/pi

angle_deg =

   54.4623

>> area = 0.5*c*a*sin(angle_rad)

area =

   24.5000

>> exp(4)/(sqrt(3+5^(-2.5)))

ans =

   31.4287

>> cos(5*log(10.2))

ans =

    0.5781

>> X = [86 71 98 77 64 100 53 72 80 92];

>> mean(X)

ans =

   79.3000

>> std(X)

ans =

   15.0484

>> var(X)

ans =

226.4556

>> factorial(52)/factorial(47)

ans =

   311875200

>> a = -2+5i;
>> b = 3 -i;
>> a*b

ans =

-1.0000 +17.0000i

>> abs(a)

ans =

    5.3852

>> conj(b)

ans =

   3.0000 + 1.0000i

>> angle(a)

ans =

    1.9513

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