Answer:
the first term is 67
Step-by-step explanation:
A finite arithmetic sequence has 12 terms. The last term Is 100 and the common difference is 3.
the formula for nth term is
![a_n = a_1 +(n-1)d](https://tex.z-dn.net/?f=a_n%20%3D%20a_1%20%2B%28n-1%29d)
Equation for 12th term is
![a_{12} = a_1 +(12-1)d](https://tex.z-dn.net/?f=a_%7B12%7D%20%3D%20a_1%20%2B%2812-1%29d)
a_12 is the last term, a1 is the first term and d is the common difference
a12= 100, d= 3
![100 = a_1 +(11)3](https://tex.z-dn.net/?f=100%20%3D%20a_1%20%2B%2811%293)
![100 = a_1 +33](https://tex.z-dn.net/?f=100%20%3D%20a_1%20%2B33)
Subtract 33 from both sides
a_1= 67
So the first term is 67
Tangent is the ratio opposite/adjacent
tan(angle) = opposite/adjacent
tan(x) = 8/5
tan(x) = 1.6
x = arctan(1.6)
x = 57.9946
x = 58 degrees which is the answer
The answer is approximate to the nearest whole number. Make sure your calculator is in degree mode.
Hey there! I'm happy to help!
We have 110 minus a certain percent of 110 equals 88. Let's call this percent p and solve.
110-110p=88
We subtract 110 from both sides.
-110p=-22
We divide both sides by 110.
p=0.2
Therefore, the percent decrease is C) 20%.
Have a wonderful day! :D
Answer:
2 10 8
Step-by-step explanation:
Answer:
5/30
Step-by-step explanation:
We just know bruh