Since the triangle is equilateral, all its angles are equal to 60°
AO is the bisector⇒∠OAD = 30°
AO is the hypotenuse, ∠OAD = 30°⇒
OD=5*2=10m
By the Pythagorean theorem
![10^2=AD^2+5^2\\AD=\sqrt{100-25} \\AD=\sqrt{75}](https://tex.z-dn.net/?f=10%5E2%3DAD%5E2%2B5%5E2%5C%5CAD%3D%5Csqrt%7B100-25%7D%20%5C%5CAD%3D%5Csqrt%7B75%7D)
![AC=AD+DC=2\sqrt{75}=10\sqrt{3}](https://tex.z-dn.net/?f=AC%3DAD%2BDC%3D2%5Csqrt%7B75%7D%3D10%5Csqrt%7B3%7D)
![S=\frac{a^2\sqrt{3} }{4}](https://tex.z-dn.net/?f=S%3D%5Cfrac%7Ba%5E2%5Csqrt%7B3%7D%20%7D%7B4%7D)
![S=\frac{(10\sqrt{3})^2\sqrt{3} }{4} =\frac{300\sqrt{3} }{4} =75\sqrt{3} m^2](https://tex.z-dn.net/?f=S%3D%5Cfrac%7B%2810%5Csqrt%7B3%7D%29%5E2%5Csqrt%7B3%7D%20%20%7D%7B4%7D%20%3D%5Cfrac%7B300%5Csqrt%7B3%7D%20%7D%7B4%7D%20%3D75%5Csqrt%7B3%7D%20m%5E2)
Answer: A)
m²
P.S. Hello from Russia and sorry for my bad english :^)
<span>{x | x < 0} and {x | x > 0}</span>
From right triangle trigonometry, we have the following:
![\displaystyle{ tan(35^o)= \frac{opposite \ side }{adjacent \ side }](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%20tan%2835%5Eo%29%3D%20%5Cfrac%7Bopposite%20%5C%20side%20%7D%7Badjacent%20%5C%20side%20%7D%20)
,
where the "opposite side" means the opposite side to angle with measure
![35^o](https://tex.z-dn.net/?f=35%5Eo)
, and "adjacent side" means the adjacent side to angle with measure
![35^o](https://tex.z-dn.net/?f=35%5Eo)
.
![tan(35^o)](https://tex.z-dn.net/?f=tan%2835%5Eo%29)
is a constant which can be found using a calculator.
In the calculator of the pc press: view - scientific - 35 - tan.
This gives
![tan(35^o)=0.7](https://tex.z-dn.net/?f=tan%2835%5Eo%29%3D0.7)
Thus, back in the equation
![\displaystyle{ tan(35^o)= \frac{opposite \ side }{adjacent \ side }](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%20tan%2835%5Eo%29%3D%20%5Cfrac%7Bopposite%20%5C%20side%20%7D%7Badjacent%20%5C%20side%20%7D%20)
we substitute as follows and solve:
![\displaystyle{0.7= \frac{x }{12 }\\\\](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B0.7%3D%20%5Cfrac%7Bx%20%7D%7B12%20%7D%5C%5C%5C%5C)
![x=0.7\cdot12=8.4](https://tex.z-dn.net/?f=x%3D0.7%5Ccdot12%3D8.4)
Answer: 8.4 cm
Answer:
Mean= 4
Median= 3
Step-by-step explanation:
Mean
add all the numbers together (24)
and divide them by the number of numbers (6)
gives you 4
Median
put them in order from least to greatest
2,2,2,4,7,7
2,2 2,4 7,7
it leaves you between 2 and 4
which the middle is 3
so there