DB is a median (given). It goes from vertex point D to midpoint B.
The point B is the midpoint of segment AC. So B cuts AC into two equal halves: AB and AC
Meaning AB = AC
AC = AB+BC ... segment addition postulate
AC = AB+AB ... substitution; replace BC with AB (valid because AB = AC)
AC = 2*AB
2*AB = AC
2*AB = 50 ... substitution; replace AC with 50
2*AB/2 = 50/2 ... divide both sides by 2
AB = 25 which is the answer
This is a simple one just multiply the sides by the same number
14/32, 28/48
Answer:
4 ;)
Step-by-step explanation:
Answer:
$ 7.04
Step-by-step explanation:
The price after two reductions means that we have to multiply the initial price by 25% twice. Remember that 25% is equal to 0.25, because the percentage sign refers to a division by 100. Therefore, the final price after two reductions is $7.04.
The surface area of a sphere is given by
![S = 4\pi r^2](https://tex.z-dn.net/?f=S%20%3D%204%5Cpi%20r%5E2)
We deduce
![r = \sqrt{\dfrac{S}{4\pi}}](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%7B%5Cdfrac%7BS%7D%7B4%5Cpi%7D%7D)
So, in your case, the radius is
![r = \sqrt{\dfrac{100\pi}{4\pi}}=\sqrt{25}=5](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%7B%5Cdfrac%7B100%5Cpi%7D%7B4%5Cpi%7D%7D%3D%5Csqrt%7B25%7D%3D5)
The volume of a sphere is given by
![V=\dfrac{4}{3}\pi r^3](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3)
So, we have
![V = \dfrac{4}{3} \pi 5^3 = \dfrac{500}{3}\pi](https://tex.z-dn.net/?f=V%20%3D%20%5Cdfrac%7B4%7D%7B3%7D%20%5Cpi%205%5E3%20%3D%20%5Cdfrac%7B500%7D%7B3%7D%5Cpi)