Answer:
-197.2
Step-by-step explanation:
Since it is arithmetic series, first find the difference d between the two know series.
3.8 - 6 = - 2.2
d = -2.2
a = 6
Tn = -29.2
Looking for the n term, use the linear method.
Tn = a+( n - 1)d
Substitute all the parameters
-29.2 = 6+( n - 1 ) -2.2
-29.2 = 6 - 2.2n + 2.2
- 29.2 = 8.2 - 2.2n
-29.2 - 8.2 = - 2.2n
-37.4 = -2.2n
n = 37.4/ 2.2
n = 17 terms.
To Find the exact sum of the arithmetic series, use the sum formula below
Sm = n/2( 2a + (n - 1)d)
Sm = 17/2( 2 × 6 + ( 17 - 1 ) -2.2
Sm = 17/2(12 - 35.2)
Sm = 8.5( - 23.2)
Sm = - 197.2
Therefore, the exact sum of the arithmetic series is -197.2
This is an Arithmetic Progression with 1st term 11 and common difference d=6
Number of Rows Number of seats Common difference " d"
----------------------- ----------------------- -------------------------------------
1st a₁ = 11
2nd a₁+d =17 d =2nd - 1st = 6
3rd a₁ +2d = 23 d =3rd - 2nd = 6
4th a₁ +3d = 29 d= 4th - 3rd = 6
-------------------------------------------------------------------------------
nth ROW a(n) = a₁ + (n-1)d
18th ROW a₁₈ = 11 + (18-1).6 = 11+(17)(6) = 113
General equation to predict the number of seat an the nth row:
Number of seats in nth row = a₁ + (n-1).d
The solution would be like
this for this specific problem:
sin 54 degrees = Height/718.0624
Height = (sin 54 degrees)(718.0624) = 580.9 ft
So the height of the balloon is 580.9 ft. I am hoping that this
answer has satisfied your query and it will be able to help you in your
endeavor, and if you would like, feel free to ask another question.
Add all the numbers in the ratio together to get 18 then divide 180 by 18 to equal 10. then times that by each individual number in the ratio. so the answer is 40:50:90
Answer:
x = 18
Step-by-step explanation:
To solve this problem, we can use the exterior angle theorem, which means the measure of an exterior angle is the sum of its remote interior angles. In this case, this would mean:
x + 72 = 5x
Since this gives us an equation, we can just solve for x:
x + 72 = 5x
72 = 4x
x = 18
