Answer:
x = 21
Step-by-step explanation:
given : angle a = 75
we need to find the value of x.
To find the value of x.
we know that it is a straight angle so the sum of angles on a line will be 180
3x + 2x + a = 180
5x + 75 = 180
5x = 180 - 75
5x = 105
x = 105/5
x = 21
Step One
Find the base area of the large hexagon as though the smaller one was not removed.
Area = 3*Sqrt(3) * a^2 /2 where a is the length of one side of the hexagon
a = 5
Area = 3*sqrt(3) * 25/2 = 75 sqrt(3) / 2 of the large hexagon without the smaller one removed.
Step Two
Find the area of the smaller hexagon. In this case a = 4
Area2 = 3*sqrt(3)*16/2 = 3*sqrt(3)*8 = 24 sqrt(3)
Step Three
Find the area of the thick hexagonal area left by the removal of the small hexagon.
Area of the remaining piece = area of large hexagon - area of the small hexagon
Area of the remaining piece = 75 *sqrt(3)/2 - 24*sqrt(3)
Step Four
Find the volume of the results of the area from step 3
Volume = Area * h
h = 18
Volume = (75 * sqrt(3)/2 - 24*sqrt(3))* 18
I'm going to leave you with the job of changing all of this to a decimal answer. I get about 420 cm^3
<h2>se necesitan 92 cajassssssssssssssssssssssssss sssssssssssssssssssssssssssssssssss ss sssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss</h2>
In this questions, there are a few functions with more/less than and equal to symbol.
1. Answer: f(x)= 3
f(x)= 2<x ≤3
The x is [more than 2] and [less than 3] or [equal to 3]. The number that will fulfill the condition would be only 3 since 3 is [more than 2] and [equal to 3].
2. f(x)= 1
f(x)= 0<x ≤1
The x is [more than 0] and [less than 1] or [equal to 1]. The number that will fulfill the condition would be only 1 since 1 is [more than 0] and [equal to 1].
3. f(x)= x
f(x)= 1≤x ≤2
The x is [more than 1] or [equal to 1] and [less than 2] or [equal to 2]. The number that will fulfill the condition would be
1, since 1 is [equal to 1] and [less than 2]
2, since 2 is [more than 1] and [equal to 2]
The graph that follow the value would be: f(x)= x
4. Answer: f(x)= 4
f(x)= 3<x ≤4
The x is [more than 3] and [less than 4] or [equal to 4]. The number that will fulfill the condition would be only 4 since 4 is [more than 3] and [equal to 4].
