Answer:
x = 8√5
Step-by-step explanation:
The large triangle is divided into two smaller ones. The right one has one leg of length 8, one leg of length x/2, and hypotenuse of length √80.
Appling the Pythagorean Theorem, we can find x:
8² + (x/2)² = (√80)²,
or: x^2
64 + x^2/4 = 80, or ------- = 80
4
Then x^2 = 320 = 64*5. Taking the square root of both sides, we get:
x = 8√5
Answer:
Yes.
Step-by-step explanation:
Friend's answer is correct.
First we need to find Mia's speed (v) in km/min
v = distance travelled/ time
v = 3 km/20 minutes
v = 0.15 km /min
in order to convert the speed into mile/min, we need to use the conversion factor given in which for every kilometer, there is 0.6 miles.
v = 0.15 km/min *(0.6 miles/ km)
v =0.09 miles/min
therefore the speed in miles/min is 0.09 miles/min
Answer:
When you ask a statistical question, you should expect to get a wide variety of answers.
Step-by-step explanation:
Answer:
D) 3456 m
Step-by-step explanation:
Diameter of the cone = 48 m
Hence radius of the cone = ![\[\frac{48}{2}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B48%7D%7B2%7D%5C%5D)
= 24 m
Height of the cone = 18 m
Volume of a cone is given as ![\[\frac{1}{3}*pi*radius^{2}*height\] ](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B1%7D%7B3%7D%2Api%2Aradius%5E%7B2%7D%2Aheight%5C%5D%0A)
= ![\[\frac{1}{3}*pi*24^{2}*18\] ](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B1%7D%7B3%7D%2Api%2A24%5E%7B2%7D%2A18%5C%5D%0A)
= ![\[\frac{1}{3}*pi*10368\] ](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B1%7D%7B3%7D%2Api%2A10368%5C%5D%0A)
= ![\[pi*3456\] ](https://tex.z-dn.net/?f=%5C%5Bpi%2A3456%5C%5D%0A)
Hence among the given options, option D is the correct one.
