Answer:
a

b

c

d

Step-by-step explanation:
Generally degree of freedom is mathematically represented as
![df = \frac{ [\frac{ s^2_i }{m} + \frac{ s^2_j }{n} ]^2 }{ \frac{ [ \frac{s^2_i}{m} ]^2 }{m-1 } +\frac{ [ \frac{s^2_j}{n} ]^2 }{n-1 } }](https://tex.z-dn.net/?f=df%20%3D%20%20%5Cfrac%7B%20%5B%5Cfrac%7B%20s%5E2_i%20%7D%7Bm%7D%20%2B%20%5Cfrac%7B%20s%5E2_j%20%7D%7Bn%7D%20%5D%5E2%20%7D%7B%20%5Cfrac%7B%20%5B%20%5Cfrac%7Bs%5E2_i%7D%7Bm%7D%20%5D%5E2%20%7D%7Bm-1%20%7D%20%20%2B%5Cfrac%7B%20%5B%20%5Cfrac%7Bs%5E2_j%7D%7Bn%7D%20%5D%5E2%20%7D%7Bn-1%20%7D%20%20%7D)
Considering a
a) m = 12, n = 15, s1 = 4.0, s2 = 6.0
![df = \frac{ [\frac{ 4^2 }{12} + \frac{ 6^2 }{15} ]^2 }{ \frac{ [ \frac{4^2}{12} ]^2 }{12-1 } +\frac{ [ \frac{6^2}{15} ]^2 }{15-1 } }](https://tex.z-dn.net/?f=df%20%3D%20%20%5Cfrac%7B%20%5B%5Cfrac%7B%204%5E2%20%7D%7B12%7D%20%2B%20%5Cfrac%7B%206%5E2%20%7D%7B15%7D%20%5D%5E2%20%7D%7B%20%5Cfrac%7B%20%5B%20%5Cfrac%7B4%5E2%7D%7B12%7D%20%5D%5E2%20%7D%7B12-1%20%7D%20%20%2B%5Cfrac%7B%20%5B%20%5Cfrac%7B6%5E2%7D%7B15%7D%20%5D%5E2%20%7D%7B15-1%20%7D%20%20%7D)

Considering b
(b) m = 12, n = 21, s1 = 4.0, s2 = 6.0
![df = \frac{ [\frac{ 4^2 }{12} + \frac{ 6^2 }{21} ]^2 }{ \frac{ [ \frac{4^4}{12} ]^2 }{12-1 } +\frac{ [ \frac{6^2}{21} ]^2 }{21-1 } }](https://tex.z-dn.net/?f=df%20%3D%20%20%5Cfrac%7B%20%5B%5Cfrac%7B%204%5E2%20%7D%7B12%7D%20%2B%20%5Cfrac%7B%206%5E2%20%7D%7B21%7D%20%5D%5E2%20%7D%7B%20%5Cfrac%7B%20%5B%20%5Cfrac%7B4%5E4%7D%7B12%7D%20%5D%5E2%20%7D%7B12-1%20%7D%20%20%2B%5Cfrac%7B%20%5B%20%5Cfrac%7B6%5E2%7D%7B21%7D%20%5D%5E2%20%7D%7B21-1%20%7D%20%20%7D)

Considering c
(c) m = 12, n = 21, s1 = 3.0, s2 = 6.0
![df = \frac{ [\frac{ 3^2 }{12} + \frac{ 6^2 }{21} ]^2 }{ \frac{ [ \frac{3^4}{12} ]^2 }{12-1 } +\frac{ [ \frac{6^2}{21} ]^2 }{21-1 } }](https://tex.z-dn.net/?f=df%20%3D%20%20%5Cfrac%7B%20%5B%5Cfrac%7B%203%5E2%20%7D%7B12%7D%20%2B%20%5Cfrac%7B%206%5E2%20%7D%7B21%7D%20%5D%5E2%20%7D%7B%20%5Cfrac%7B%20%5B%20%5Cfrac%7B3%5E4%7D%7B12%7D%20%5D%5E2%20%7D%7B12-1%20%7D%20%20%2B%5Cfrac%7B%20%5B%20%5Cfrac%7B6%5E2%7D%7B21%7D%20%5D%5E2%20%7D%7B21-1%20%7D%20%20%7D)

Considering c
(d) m = 10, n = 24, s1 = 4.0, s2 = 6.0
![df = \frac{ [\frac{ 4^2 }{10} + \frac{ 6^2 }{24} ]^2 }{ \frac{ [ \frac{4^2}{10} ]^2 }{10-1 } +\frac{ [ \frac{6^2}{24} ]^2 }{24-1 } }](https://tex.z-dn.net/?f=df%20%3D%20%20%5Cfrac%7B%20%5B%5Cfrac%7B%204%5E2%20%7D%7B10%7D%20%2B%20%5Cfrac%7B%206%5E2%20%7D%7B24%7D%20%5D%5E2%20%7D%7B%20%5Cfrac%7B%20%5B%20%5Cfrac%7B4%5E2%7D%7B10%7D%20%5D%5E2%20%7D%7B10-1%20%7D%20%20%2B%5Cfrac%7B%20%5B%20%5Cfrac%7B6%5E2%7D%7B24%7D%20%5D%5E2%20%7D%7B24-1%20%7D%20%20%7D)

Answer:
56x
Step-by-step explanation:
Think of it an a triangle and a rectangle. The area of the rectangle is obviously 13 x 4x, which is 52x
for triangle, the hypotenuse is C, Right hand side is B and the side that is in the shape is B.
Area of triangle = (bh) / 2
B = 13 - 9, so B = 4
A = 6x - 4x, so A = 2x
the area is 2x x 4, which is 8x.
8x / 2 = 4x
The area is 4x + 52x, so the final answer is 56x
The greatest common factor of 2 and 4 is 2
10 to the 5th power is 100,000. 2 X 5 is 10.
10 X 100,000 is one million.
the answer is 1,000,000. (one million)
Ok, so you have a right angle, a given angle, and a given side for the left triangle. We are going to call angle 47° angle A. So angle A=47°, the side connecting the two triangles is directly opposite A making it side "a". We are calling the right angle C and the hypotenuse (the longest side which is 11) "c". So, Sin A=a/c and since we don't have "a" we multiply both sides by "c" changing it to (c Sin A)=a. 11•Sin(47°)=a
11•(0.7313537016)=a
8.044890718=a