Answer:
2280 meters
Step-by-step explanation:
if i'm right plz mark me brainlest
Answer:
The first term is 14
The common difference is -2.5
Step-by-step explanation:
we know that
The rule to calculate the an term in an arithmetic sequence is
where
d is the common difference
a_1 is the first term
we have that
The third term of an arithmetic sequence is equal to 9
so
substitute
----> equation A
The rule to find the sum of the the first n terms of the arithmetic sequence is equal to
![S=\frac{n}{2} [2a_1+(n-1)d]](https://tex.z-dn.net/?f=S%3D%5Cfrac%7Bn%7D%7B2%7D%20%5B2a_1%2B%28n-1%29d%5D)
we have
The sum of the first 8 term is 42
so
substitute
![42=\frac{8}{2} [2a_1+(8-1)d]](https://tex.z-dn.net/?f=42%3D%5Cfrac%7B8%7D%7B2%7D%20%5B2a_1%2B%288-1%29d%5D)
![42=4[2a_1+7d]](https://tex.z-dn.net/?f=42%3D4%5B2a_1%2B7d%5D)
----> equation B
Solve the system of equations
----> equation A
----> equation B
Solve the system by graphing
Remember that the solution is the intersection point both graphs
using a graphing tool
the solution is (14,-2.5)
see the attached figure
therefore
The first term is 14
The common difference is -2.5
The angle you want - call it <em>θ</em> - is such that
tan(<em>θ</em>) = FC / AC
Find the length of the diagonal AC, i.e. a diagonal of the rectangle ABCD. ABC forms a right triangle with legs AB = 70 and BC = 50, so
AC² = AB² + BC²
→ AC = √(70² + 50²) = 10 √74
Find FC using the given angle of the sloping face:
tan(30º) = FC / BC
→ 1/√3 = FC / 50
→ FC = 50/√3
Now solve for <em>θ</em> :
tan(<em>θ</em>) = (50/√3) / (10 √74)
→ tan(<em>θ</em>) = 5/√222
→ <em>θ</em> ≈ 18.6º
Answer:
I know that 14 B and I am not about 15 but the answer has to be negative. Hope this helps a little.
Answer:
For answer a,
the equation is -1 - 5
this equals -6
From -1 to -6 is 5
A.) The difference is 5
For answer b,
the equation is -7 - (-3)
There are two minus signs by the -3 so that means to turn those two signs into a plus sign
- 7 + 3
Start at -7 and move to the right 3
You will end up at -4
B.) The difference is 3
