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 :^)
238 messages.
59.50 divided by 0.25 equals to 238
You start with 24, there are 8 added, there are 12 taken away, then 9 are taken away. The equation looks like:
24 + 8 - 12 - 9 = <u>11</u>
I think the correct answer is b 75
Answer:
The total amount of recyclables sorted by Amirah is 931 pounds.
Step-by-step explanation:
Amount of cans and bottles sorted = 263 pounds
Amount of paper sorted = 668 pounds
So, the total amount of recyclables sorted
= amount of cans and bottle sorted + amount of paper sorted
= 263 pounds + 668 pounds
= 931 pounds
Hence, the total amount of recyclables sorted is 931 pounds.