You can calculate polygon area with only apothem OR side length.
apothem only
area = apothem^2 * 6 * tan (180/6)
area = 10.4^2 * 6 * 0.57735
area = 108.16 *
<span>
<span>
<span>
3.4641
</span>
</span>
</span>
area =
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<span>
<span>
374.677056
</span>
</span>
</span>
square yards
side length only
area = 6 * 12^2 * / 4*tan(30)
area = 864 / 4 * 0.57735
area = 864 /
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<span>
<span>
2.3094
</span>
</span>
</span>
area =
<span>
<span>
<span>
374.1231488698
</span>
</span>
</span>
square yards
If apothem and side length were given with more precision, the answers would be closer.
Source:
http://www.1728.org/polygon.htm
18-inch piece per present.
There are 7 presents
That means the total amount needed would be 18 * 7 = 126
The person has 120. 120 is less than 126, so no there isn't enough.
3 * 500 = 1500
3 * 80 = 240
3 * 4 = 12
1500 + 240 + 12 = 1752
Answer:
x = 8
y = 12
z = 48
Step-by-step explanation:
Using CPCTC (Corresponding Parts of Corresponding Triangles are Congruent), we can set up two equations to solve for x and y...
3x=24
9y=108
Start by solving for x...
3x=24
Divide both sides by 3
x=8
Then, solve for y...
9y=108
Divide both sides by 9
y=12
Note that angles in a triangle add up to 180 degrees. We can use this information to set up an equation:
24+108+z=180
132+z=180
z=48