Answer:
Step-by-step explanation:
The terms of this sum make the arithmetic sequence.
The fomula of a sum of <em>n</em> terms of an arithmetic sequence:
![S_n=\dfrac{[2a_1+(n-1)d]\cdot n}{2}](https://tex.z-dn.net/?f=S_n%3D%5Cdfrac%7B%5B2a_1%2B%28n-1%29d%5D%5Ccdot%20n%7D%7B2%7D)
We have
Substitute:
![S_{50}=\dfrac{[2\cdot2+(50-1)\cdot15]\cdot50}{2}=(4+49\cdot15)\cdot25=(4+735)\cdot25\\\\=739\cdot25=18,475](https://tex.z-dn.net/?f=S_%7B50%7D%3D%5Cdfrac%7B%5B2%5Ccdot2%2B%2850-1%29%5Ccdot15%5D%5Ccdot50%7D%7B2%7D%3D%284%2B49%5Ccdot15%29%5Ccdot25%3D%284%2B735%29%5Ccdot25%5C%5C%5C%5C%3D739%5Ccdot25%3D18%2C475)
Answer:
1890 ml
Step-by-step explanation:
if you add it all together
Answer:
98
Step-by-step explanation:
4=x56×7
4=x392
392/4=X
98
Answer:
The answer to your question is below
Step-by-step explanation:
Number 9.
To find x use the law of sines
sin x / 8 = sin 95 / 12
Solve for sin x
sin x = 8 sin 95 / 12
sin x = 0.664
x = 41.6°
Number 10
To find x use law of cosines
x² = 6² + 8² - 2(6)(8)cos100
x² = 36 + 64 - 96(-0.174)
x² = 100 + 16.67
x² = 116.67
x = 10.80
