Answer:
the common difference of the sequence is ![(\frac{1}{16})](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B16%7D%29)
Step-by-step explanation:
A sequence of numbers is said to be in arithmetic progression of each term of the sequence has same common difference.
Now, here first term a1 = 1/4
Second term a2 = 5/16
Third term a3 = 3/8
Now, Common difference (d) = a2 - a1 = a3 - a2
Now, a2 - a1 = ![\frac{5}{16} - \frac{1}{4} = \frac{5 - 4}{16} = \frac{1}{16}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B16%7D%20%20-%20%5Cfrac%7B1%7D%7B4%7D%20%20%3D%20%5Cfrac%7B5%20-%204%7D%7B16%7D%20%20%3D%20%5Cfrac%7B1%7D%7B16%7D)
Now, a3 - a2 = ![\frac{3}{8} - \frac{5}{16} = \frac{6 - 5}{16} = \frac{1}{16}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B8%7D%20%20-%20%5Cfrac%7B5%7D%7B16%7D%20%20%3D%20%5Cfrac%7B6%20-%205%7D%7B16%7D%20%20%3D%20%5Cfrac%7B1%7D%7B16%7D)
Hence, the common difference of the sequence is ![(\frac{1}{16})](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B16%7D%29)
Answer:
a=7
Step-by-step explanation:
24^2+a^2=25^2
576+a^2=625
49=a^2
a=7
Answer:
12 feet
Step-by-step explanation:
just convert 4 yards into feet
Answer:
See attachment for cube
Step-by-step explanation:
Given
![Length = 6cm](https://tex.z-dn.net/?f=Length%20%3D%206cm)
![Width = 3cm](https://tex.z-dn.net/?f=Width%20%3D%203cm)
![Height = 2cm](https://tex.z-dn.net/?f=Height%20%3D%202cm)
Required
The net of the cuboid
A cuboid has 6 faces.
The dimension of these faces are:
Length and Width; Length and Height;
Length and Width; Length and Height;
Width and Height; Width and Height;
This means that the faces will have the following dimensions:
6cm by 3cm; 6cm by 2cm
6cm by 3cm; 6cm by 2cm
3cm by 2cm; 3cm by 2 cm
Taking into account the above measurements and dimensions, you draw 6 faces, then join similar sides lengths.
<em>See attachment for net of the cuboid</em>