Answer:
= 4374.
Step-by-step explanation:
it is important to understand the pattern hidden in such problem.Let’s give it a try 2, 6, 18, 54 and so on.It can be written as 2, 3*2, 9*2, 27*2 and so on.
This can be further written as2 (1, 3, 9, 27, and so on) as 2 is common in every term.Now if you see the chain 1,3,9, 27 and so….you will see a pattern hidden i.e. 3=1*3 ,9=1*3*3, 27=1*3*3*3 now 27 is the 4th term consist of three 3. So 8th term would consist of seven 3. 8th would be 8th term = 1*3*3*3*3*3*3*3 = 2187 Hence the 8th term for the series 2,6,18,54 would be= 2*2187 = 4374.
Answer:
x ≈ 33.1°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan x =
=
, then
x =
(
) ≈ 33.1° ( to the nearest tenth )
The value of y in the triangle is 6°.
<h3>How to calculate the value of y in the triangle?</h3>
Firstly, it's important to note that a triangle has the total angles of 180°.
Based on the information, the triangle has interior angle measures of 11y, 10y + 10°, and 10y - 16º.
The value of y in the triangle will be illustrated thus:
11y + 10y + 10 + 10y - 16 = 180
31y - 6 = 180
31y = 180 + 6.
31y = 186
Divide.
y = 186 / 31
y = 6
The value of y is 6.
Learn more about triangles on:
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Make 2 equations let x=150 y=600/180000 than plug and chug