Answer:
inches
Step-by-step explanation:
Here we are going to use the formula which is
Area=![\frac{1}{2} \times P \times A](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20P%20%5Ctimes%20A)
Where P is perimeter and A is apothem
Here we are given that the Perimeter is 48 inches: Where perimeter is givenas
P=6s
Where s is the side of the hexagon
6s=48
s=8 inches
Please refer to the image attached with this :
In a Hexagon , there are six equilateral triangle being formed by the three diagonals which meet at point O.
Consider one of them , 0PQ with side "s"
As Apothem is the Altitude from point of intersection of diagonals to one of the side. Hence it divides the side in two equal parts . hence
![PR = \frac{s}{2}](https://tex.z-dn.net/?f=PR%20%3D%20%5Cfrac%7Bs%7D%7B2%7D)
Also OP= s
Using Pythagoras theorem ,
![OP^2=PR^2+OR^2](https://tex.z-dn.net/?f=OP%5E2%3DPR%5E2%2BOR%5E2)
![8^2=(\frac{8}{2})^2+a^2](https://tex.z-dn.net/?f=8%5E2%3D%28%5Cfrac%7B8%7D%7B2%7D%29%5E2%2Ba%5E2)
![8^2=4^2+a^2](https://tex.z-dn.net/?f=8%5E2%3D4%5E2%2Ba%5E2)
![64-16=a^2](https://tex.z-dn.net/?f=64-16%3Da%5E2)
![a^2=48](https://tex.z-dn.net/?f=a%5E2%3D48)
![a=4\sqrt{3}](https://tex.z-dn.net/?f=a%3D4%5Csqrt%7B3%7D)
Hence We have Apothem ![a=4\sqrt{3}](https://tex.z-dn.net/?f=a%3D4%5Csqrt%7B3%7D)
also we have the perimeter as 48
Now we put them in the main formula
Area = ![\frac{1}{2} \times 48 \times 4\sqrt{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%2048%20%5Ctimes%204%5Csqrt%7B3%7D)
Area=![24 \times 4\sqrt{3}](https://tex.z-dn.net/?f=24%20%5Ctimes%204%5Csqrt%7B3%7D)
Area=![96\sqrt{3}](https://tex.z-dn.net/?f=96%5Csqrt%7B3%7D)
Answer:
c=4.95+3.99b
When there are no books, the service fee still applies, so when b=0, c=$4.95.
For each book downloaded $3.99 is added to the charge. The service fee is only charged once a month.
Step-by-step explanation:
A. We are going to form 7 digit numbers from the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
where the first digit cannot be 0 or 1.
so we have 8 choices for the 1. digit, and 10 choices for all the other 6 digits.
this means there are
![8*10*10*10*10*10*10=8* 10^{6}](https://tex.z-dn.net/?f=8%2A10%2A10%2A10%2A10%2A10%2A10%3D8%2A%2010%5E%7B6%7D%20)
possible numbers.
b.
consider the numbers which start with 911. There are
![10*10*10*10=10 ^{4}](https://tex.z-dn.net/?f=10%2A10%2A10%2A10%3D10%20%5E%7B4%7D%20)
such numbers, since for the 4th, 5th, 6th and 7th digits we have 10 choices.
then we remove this number, from the one we found in a:
There are in total
![8* 10^{6}-10^{4}=7,990,000](https://tex.z-dn.net/?f=8%2A%2010%5E%7B6%7D-10%5E%7B4%7D%3D7%2C990%2C000)
numbers which don't start with 911.
Answer:
a.
![8*10^{6}](https://tex.z-dn.net/?f=8%2A10%5E%7B6%7D)
b.7,990,000
Answer:
Let x be the price of the groceries:
x × 0.25 = 1.60
x = 1.60/0.25
x = $6.40
$6.40 - $1.60 = $4.80
Step-by-step explanation:
Hhaah! My name is Caleb lolll :)
Mark as brainliest please! :)