Answer:
Step-by-step explanation:
Given
Required
Write a recursive expression
When n = 1
When n = 2
can be rewritten as
Substitute 3 for f(1)
Express 1 as 2 - 1
----- (1)
When n = 3
can be rewritten as
Substitute 8 for f(2)
Express 2 as 3 - 1
------ (2)
Write out (1) and (2)
Replace 2 and 3 with n in both cases; This gives
Hence;
The recursive is
Answer:
Length of the shorter diagonal is 8.68 cm.
Step-by-step explanation:
Length of the side AB = 11 cm
Length of side BC = 5 cm
Angle between these sides, m∠ABC = 50°
By cosine rule in ΔABC,
AC² = AB² + BC² - 2AB.BC.cos B
AC² = (11)² + 5² - 2(11)(5)cos50°
AC² = 121 + 25 - 70.71
AC = √(75.29)
AC = 8.68 cm
By the property of parallelogram,
m∠B + m∠C = 180° [Interior consecutive angles]
50° + m∠C = 180°
m∠C = 130°
Similarly, In ΔBCD,
BD² = BC² + CD² - 2BC.CD.cos130°
BD² = (5)² + (11)² - 2(5)(11)cos130°
BD² = 25 + 121 + 70.71
BD² = 216.71
BD = 14.72 cm
Therefore, length of the shorter diagonal will be 14.72 cm.
<span>Item Number of Liters Percentage of LemoneA 4 14%B x 8%Result 4+x 10%
For a mixture of solutions to form a resulting solution, we know
V1 * N1 + v2 * N2 = V * N
where, V1 = Volume of mixture of 1 N1 = Concentration of mixture 1V2 = Volume of mixture of 2 N2 = Concentration of mixture 2
V = volume of mixture N = Concentration of mixture
So solving we get:
(4+x)*10 = 4*14 + x * 8or, 10x-8x = 4*14-4*10or, 2x = 16or x = 8
so 8 litres of the solution B must be added to the solution<span>
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Answer:
please be more specific
Step-by-step explanation:
The more expensive bike could be a bigger size so in stead of being a 20 inch it could be a 24 inch, another option is that one bike is made by a lower brand name company hile the expensive one is a better well know company so in that case the extra $100 is just a added price for the name. Last option is one's on sell and ones not. I hope this helped! :)
