Answer: No triangle can be drawn.
Step-by-step explanation:
According to the triangle Inequality theorem, the sum of any two sides of a triangle must be greater than the third side.
If the measurements of triangle taken as 2 cm, 3 cm, and 5 cm , no triangle can be formed because 2+3=5 which does not satisfy the triangle inequality.
If the measurements of triangle taken as 2 cm, 3 cm, and 8 cm , no triangle can be formed because 2+3=5<8 which does not satisfy the triangle inequality.
Hence, No triangle can be drawn.
In the equation for a line, y=mx+b, you will find both the slope and the y-intercept. The letter m is your slope, and the letter b is your y-intercept. So, looking at your line's equation, we have y = 1/3x - 2. With this being said, 1/3 is your slope, and -2 is your y-intercept. Does this make sense?
Answer:
A. 3.6×10^5 grams
Step-by-step explanation:
Multiply the number of people by the amount per person:
(1.8×10^3)(2×10^2 g) = 3.6×10^5 g
__
The applicable rule of exponents is ...
(10^a)(10^b) = 10^(a+b).
Answer:
Radius of the sphere = ![\sqrt[3]{91.13} \,feet](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B91.13%7D%20%5C%2Cfeet)
Step-by-step explanation:
Volume of a sphere is :
![\dfrac{4}{3}\times \pi \times r^3](https://tex.z-dn.net/?f=%5Cdfrac%7B4%7D%7B3%7D%5Ctimes%20%5Cpi%20%20%5Ctimes%20r%5E3)
For, Volume = ![121.5\pi \,feet^3](https://tex.z-dn.net/?f=121.5%5Cpi%20%5C%2Cfeet%5E3)
As, ![\pi =\dfrac{22}{7}=3.14](https://tex.z-dn.net/?f=%5Cpi%20%3D%5Cdfrac%7B22%7D%7B7%7D%3D3.14)
![121.5\times \pi =\dfrac{4}{3}\times \pi \times r^3 \\\\121.5=\dfrac{4}{3}\times r^3\\\\ 121.5\times \dfrac{3}{4} =r^3\\\\r^3=91.13\\\\r=\sqrt[3]{91.13} \,feet](https://tex.z-dn.net/?f=121.5%5Ctimes%20%5Cpi%20%3D%5Cdfrac%7B4%7D%7B3%7D%5Ctimes%20%5Cpi%20%20%5Ctimes%20r%5E3%20%5C%5C%5C%5C121.5%3D%5Cdfrac%7B4%7D%7B3%7D%5Ctimes%20r%5E3%5C%5C%5C%5C%20121.5%5Ctimes%20%5Cdfrac%7B3%7D%7B4%7D%20%3Dr%5E3%5C%5C%5C%5Cr%5E3%3D91.13%5C%5C%5C%5Cr%3D%5Csqrt%5B3%5D%7B91.13%7D%20%5C%2Cfeet)
The radius of the sphere is : ![\sqrt[3]{91.13} \,feet](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B91.13%7D%20%5C%2Cfeet)