Answer:
14.4 cm
Step-by-step explanation:
The formula for the area of a regular hexagon in terms of its side length s is ...
... A = (3√3)/2·s²
Then the side length is ...
... s = √(2A/(3√3))
and the perimeter is ...
... P = 6s = √(8A√3)
For your area, this is ...
... P = √(8·14.96·√3) ≈ √207.292 ≈ 14.4 . . . . cm
Answer:
1 1/8
Step-by-step explanation:
First, Make the first fraction into a new one with an equal denominator. (3/4 x2= 6/8)
Then, subtract the whole numbers (2-1=1) and the fractions (6/8-5/8= 1/8)
Lastly, add your two differences together and you get 1 1/8.
Answer: y = 7
Explanation:
7^8/7y = 7^6
7^7/y = 7^6
In order for 7^7 to become 7^6 you need to divide by 7
Which mean y = 7
So that:
7^7/7= 7^6
7^6 = 7^6
<h3>
Answer: Choice C</h3>
{x | x < -12 or x > -6}
=========================================================
Explanation:
Let's solve the first inequality for x.
(-2/3)x > 8
-2x > 8*3
-2x > 24
x < 24/(-2)
x < -12
The inequality sign flips when we divide both sides by a negative value.
Let's do the same for the second inequality.
(-2/3)x < 4
-2x < 4*3
-2x < 12
x > 12/(-2)
x > -6
The conclusion of each section is that x < -12 or x > -6 which points us to <u>choice C</u> as the final answer.
Side note: The intervals x < -12 and x > -6 do not overlap in any way. There's a gap between the two pieces. We consider these intervals to be disjoint. The number line graph is below.
Answer:
Step-by-step explanation:
0.75 feet / day [ 1 day / 24 hours] * [12 inches / 1 foot]
This process is called dimensional analysis. The trick it uses is to cancel out units (like feet or days ) where possible. In this case, 1 day is going to cancel out and leave behind 24 hours. 1 foot will cancel out and leave behind 12 inches.
It is well worth learning how to do this, because the process is done in the higher sciences.
So what you are left with is
0.75 * 12 inches / 24 hours
0.75 inches /hour * 1/2
0.375 inches / hour.
