See the attached picture with letters to better understand the problem
we know that
the figure is a regular hexagon
A regular hexagon has:
<span>Interior Angles of <span>120°
</span></span>so
in the triangle ABC
BC=2 units
∠ABC=30°
∠BAC=60°
tan 30°=AC/BC
solve for AC
AC=BC*tan 30°-------> AC=2*(√3)/3
<span>Apothem is equal to AC
</span>Apothem=(2/3)√3
the answer is(2/3)√3
As you can see clearly the first equation and the second equation descripe the same line so the have infinite soultions that is why it is a coincident system
Answer:
8, 15 and 17 feet respectively
Step-by-step explanation:
Let the shorter leg=l feet
The longer leg of a right triangle is 7 ft longer than the shorter leg, therefore Length of the longer leg=(l+7) feet
The hypotenuse is 9ft longer than the shorter leg. Therefore Length of the hypotenuse=(l+9) feet
Using Pythagoras Theorem
This results into:
l-8=0 or l+4=0
l=8 or -4
Since length cannot be negative, The length l=8 feet
The sides of the rectangle are therefore: 8, 15 and 17 feet respectively
Answer:
8r
Step-by-step explanation:
Answer:
It takes 13 months for the second phone to be less expensive than the first phone.
Step-by-step explanation:
First phone: y = 100 + 55x
Second phone: y = 150 + 51x
(x = number of months, y = total cost)
Make a T-Chart.
First phone: Second phone:
<u> x | y </u> <u> x | y </u>
0 | 100 0 | 150
1 | 155 1 | 201
2 | 210 2 | 252
3 | 265 3 | 303
4 | 320 4 | 354
5 | 375 5 | 405
6 | 430 6 | 456
7 | 485 7 | 507
9 | 595 9 | 609
10 | 650 10 | 660
11 | 705 11 | 711
12 | 760 12 | 762
13 | 815 13 | 813
After 13 months, the second phone will have costed $2 less than the first phone, and the price of the second will continue to be lower than the first.
