Answer:

Step-by-step explanation:
Given: The side of a regular hexagon is 3 feet.
To find: Area of the hexagon
Solution:
It is given that the side of a regular hexagon is 3 feet.
We know that the area of a regular hexagon whose side is a units is
Here, the side is 3 feet
So, area of the regular hexagon




Hence, area of the regular hexagon is 
Answer:
5 containers high
Step-by-step explanation:
Given that :
Given :
Width = 20 containers
Length = 50 containers
Total containers = 5000
Hence,
Total containers = width * length * height
5000 = 20 * 50 * height
5000 = 1000 * height
Height = 5000 / 1000
Height = 5 containers
9514 1404 393
Answer:
A, C
Step-by-step explanation:
The attached graph shows which lines go through the given point. They are ...
y = 1/2x -1 . . . . 1st selection
y = -1/6x +3 . . . 3rd selection
__
The equations can be found algebraically by substituting the given point in the equation and seeing if the result is a true statement.
a) 2 = (1/2)(6) -1 = 3 -1 . . . true
b) 2 = -3(6) . . . . false
c) 2 = -1/6(6) +3 = -1 +3 . . . true
d) 2 = 2/3(6) -1 = 4 -1 . . . . false
e) 2 = 4(6) -2 = 24 -2 . . . . false
f) 2 = -3/2(6) +6 = -9 +6 . . . . false
9514 1404 393
Answer:
- left 3 units
- up 4 units
- shape: lower left image
Step-by-step explanation:
For a parent function f(x), the transformations ...
g(x) = a×f(x -h) +k
cause ...
- vertical expansion by 'a', reflection over x-axis if negative
- right shift by 'h'
- up shift by 'k'
Here, we have parent function f(x) = 1/x with a=-1, h=-3, k=4. Then the transformations are ...
horizontal shift left 3 units
vertical shift up 4 units
reflection over x-axis, so curves are above-left and below-right of the reference point (Note that the reflection is done <em>before</em> the translation.)
The rationals being closed under subtraction means that if we start with two rational numbers and subtract them, we get another rational number. Choice c subtracts two rational numbers but gets the wrong answer, so isn't support for anything. Choice b is rational too because the square root of 4 is 2.
Answer: b