Answer: 3.15 mm²
Step-by-step explanation:
First, we multiply the height by the base: 4.2 x 1.5 = 6.3
But, since this is a triangle, we have to divide this number by 2: 6.3 / 2 = 3.15
Hope this helps you!
Answer:
The next three terms of the sequence are 17, 21 and 25.
The 300th term of the sequence is 1197.
Step-by-step explanation:
The statement describes an arithmetic progression, which is defined by following formula:
(1)
Where:
- First element of the sequence.
- Progression rate.
- Index of the n-th element of the sequence.
- n-th element of the series.
If we know that
,
and
, then the progression rate is:
![r = \frac{p(n)-p_{1}}{n-1}](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7Bp%28n%29-p_%7B1%7D%7D%7Bn-1%7D)
![r = 4](https://tex.z-dn.net/?f=r%20%3D%204)
The set of elements of the series are described by
.
Lastly, if we know that
, then the 300th term of the sequence is:
![p(n) = 1 + 4\cdot (n-1)](https://tex.z-dn.net/?f=p%28n%29%20%3D%201%20%2B%204%5Ccdot%20%28n-1%29)
![p(n) = 1197](https://tex.z-dn.net/?f=p%28n%29%20%3D%201197)
And the next three terms of the sequence are:
n = 5
![p(n) = 1 + 4\cdot (n-1)](https://tex.z-dn.net/?f=p%28n%29%20%3D%201%20%2B%204%5Ccdot%20%28n-1%29)
![p(n) = 17](https://tex.z-dn.net/?f=p%28n%29%20%3D%2017)
n = 6
![p(n) = 1 + 4\cdot (n-1)](https://tex.z-dn.net/?f=p%28n%29%20%3D%201%20%2B%204%5Ccdot%20%28n-1%29)
![p(n) = 21](https://tex.z-dn.net/?f=p%28n%29%20%3D%2021)
n = 7
![p(n) = 1 + 4\cdot (n-1)](https://tex.z-dn.net/?f=p%28n%29%20%3D%201%20%2B%204%5Ccdot%20%28n-1%29)
![p(n) = 25](https://tex.z-dn.net/?f=p%28n%29%20%3D%2025)
The next three terms of the sequence are 17, 21 and 25.
The 300th term of the sequence is 1197.
For volume you would do 20 x 8.5 x 7.5 = 1275 ft^3
For surface are you would add up all the area of the faces
left and right face = 8.5 x 7.5 = 63.75 each
front and back = 20 x 8.5 = 170 each
top and bottom = 20 x 7.5 = 150 each
total = 767.5 ft^2