X + 8 >= 18
(>= means greater than or equal to)
x + 8 - 8 >= 18 - 8
x >= 10
4/3 of the area of the larger hexagon to the area of the smaller hexagon
Let the sides of the interior hexagon be 2 cm long, then this hexagon is made up of 6 equilateral triangles of side = 2.
The area of this hexagon = 6 * 1 * sqrt3 = 6 sqrt3 ( as the triangle is made up of 2 60-30-90 triangles)
The exterior hexagon is made up of 6 equilateral triangles with altitude 2 and the area = 6 * 2 * (2 / sqrt3 ) = 24 / sqrt3
area exterior hex / interior hex = 24 / sqrt3 * 1 / 6sqrt3 = 24/18
= 4/3
Required ratio = 4/3 answer
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Answer:
x = 4
Step-by-step explanation:
10 = -1/4 x + 11
10 - 11 = -1/4 x
-1 = - 1/4 x
x = 4
Answer:
5:05
Step-by-step explanation:
Answer:
an exponential growth function to represent this situation is:
Step-by-step explanation:
We know that the exponential growth function is of the form
where
- x(t) represents the value at time t
- x₀ represents the initial value at time t = 0. In other words, it is the initial value (the amount before measuring growth or decay)
- r represents the growth factor when r > 0 and decay factor when r < 0
- t represents the of time intervals that have passed
In our case,
Given that
A social media website had 100,000 followers its first year. Thus,
The number of followers increased by 9% each year. Thus,
Thus, substituting r = 0.09 and x₀ = 100,000 in the growth function
Therefore, an exponential growth function to represent this situation is: