Answer:
98.8 cm²
Step-by-step explanation:
Hi there!
where P is the perimeter of the pentagon and a is the apothem (the line going from the center of the pentagon one edge)
<u>1) Find the perimeter</u>
where l is the side length
Plug in the side length 7.6 cm
Therefore, the perimeter of the pentagon is 38 cm.
<u>2) Find the area</u>
Plug in the perimeter (38) and the apothem (5.2)
Therefore, the area of the pentagon is 98.8 cm².
I hope this helps!
The correct answer is 37.5.
You must earn 243 points to have earned 93% of all possible points.
We first multiply each percentage on the previous tests by 150:
0.88*150 = 132
0.94*150 = 141
0.9*150 = 135
The total number of points possible is given by adding up the possible points for the three previous tests and the 250 for the last test:
150+150+150+250 = 700
93% of the 700 points would be 0.93(700) = 651 points.
Now we have 132+141+135+x (last test) = 651
408 + x = 651
Subtract 408 from both sides:
408+x-408 = 651-408
x = 243
First : -(-6) will turn into a positive 6
second: -8+6 which equals -2
2x + 3y = 9
x + 5y = 8....multiply by -2
----------------
2x + 3y = 9
-2x - 10y = -16 (result of multiplying by -2)
---------------add
-7y = - 7
y = -7/-7
y = 1
x + 5y = 8
x + 5(1) = 8
x + 5 = 8
x = 8 - 5
x = 3
solution is (3,1)
