Answer:
the area of the hexagon is approx. 187.1 in²
Step-by-step explanation:
Picture this regular polygon as being a hexagon made up of six equilateral triangles of side 12 in. We find the area of one such triangle and then multiply that by 6 to obtain the total area of the hexagon.
One such equilateral triangle has three sides all of length 12 in, and all the interior angles are 60°. The height of one such triangle is
h = (12 in)sin 60°, or
√3
h = (12 in) -------- = 6√3 in
2
So, with base 12 in and height 6√3 in, the area of one such equilateral triangle is
A = (1/2)(12 in)(6√3 in) = 36√3 in²
and the total area of the hexagon is 6(36)√3 in², or approx. 187.1 in²
You want to buy something that costs $98, and it's on sale for 30% off. What is the item's sale price?
First, convert the 30% to a real mathematical number. For percents, this is always done by dividing the 30% by 100%, or 30% / 100% = 0.300.
Second, find out what 30% of $98 is. This is the amount of the sale discount. This is always found by mulitplying 0.300 by the item's cost $98, like this:
0.300 x $98 = $29.40.
So for this sale, you'll save $29.40 on this item.
This means, the cost of the item to you is
$98 - $29.40 = $68.60.
Answer:
B. y=7x+3
Step-by-step explanation:
You find the changes of y over the changes of x. y sub 2 - y sub 1 divided by x sub 2 over x sub 1. So, 17 - 10 over 2 - 1 = 7. 3 is the y-intercept. y=7x+3
Answer:
2x+1
Step-by-step explanation:
(4-2x), (-7-3x),(11x+6)
Add the three expressions
(4-2x)+ (-7-3x)+(11x+6)
Combine like terms
-2x-3x+11x+4-7+6
6x+3
Divide by the number of expressions which was 3
(6x+3)/3
2x+1
The average is 2x+1
The system of equations that represent the matrix is c
