Answer:
options: 1,2 and 4
Step-by-step explanation:
1) In a circle, the apothem is the perpendicular line segment that connects the Center to one chord's midpoint.
So we can calculate it by the Pythagorean Theorem:
[tex]5^{2}=(\frac{8.7}{2})^{2}+c^{2}\Rightarrow 25=18.92+c^{2}\Rightarrow c^{2}=25-18.9225\Rightarrow c=\sqrt{6.0775} \:c\approx2.5[/tex]
2) True The equilateral angle has 3 angles of 60º. And the line segment OC bisects the 60º so it is possible to calculate the apothem by the following relation, the tangent ratio:
[tex]tan(30)=\frac{\overline{OC}}{\overline{OM}}=\frac{apothem}{adjacent\:leg}=\frac{a}{4.35}\Rightarrow \frac{\sqrt{3}}{3}=\frac{a}{4.35}\:a\approx2.5[/tex]
3) False.
[tex]2p =8.7+8.7+8.7\Rightarrow2p=26.1 cm[/tex]
4) True. Check number 1
5) False
[tex]S=\frac{l^{2}\sqrt{3}}{4}\approx 32.78[/tex]
Answer:
^^^^^^^^^^^^^ He is correct! I just took the quiz and I got 100
Step-by-step explanation:
