Answer:
18√3
Step-by-step explanation:
tan Ф = opposite/adjacent
tanФ = AB/AC
tan 60 = AC/AB
Tan 60 =√3 AB=18
√3=AC/18
AC=18√3
To answer, it is assumed that e here is the Euler number which is equal to 2.718. Substitute this value to the e of the second equation to get the value of b.
b = 0.5(2.718^2) = 3.6945
Then, we substitute this value to the first equation to get the value of a.
a = 4(3.6945^2) = 54.498
Thus, the answer is approximately equal to 54.5.
Answer: 8
Step-by-step explanation:
Let the number be represented by x.
Two less than three times a number is the same as six more than twice the number. This will be:
(3 × x) - 2 = (2 × x) + 6
3x - 2 = 2x + 6
Collect like terms.
3x - 2x = 6 + 2
x = 8.
The number is 8
She spent $23.25, how I got my answer.
I divided $13.50÷2=$6.75 then I added $6.75+3=$9.75 then I added $9.75+$13.50=$23.25.
I hope this helps.
Th term of an arithmetic sequence:
We have to find the difference (d)
an=a₁+(n-1)d
Data:
a₁=-7
a₁₈=95
95=-7+(18-1)d
95+7=17d
17d=102
d=102/17
d=6
Now, we can calculate the 35 th term of an arithmetic sequence:
a₃₅=-7+(35-1)*6
a₃₅=-7+34*6
a₃₅=-7+204
a₃₅=197
Answer: the 35th term of this arithmetic sequence is 197. (a₃₅=197)