Volume = πr²h
Volume = π(5)²(3)
Volume = 75π = 235.62 cm³ (nearest hundredth)
----------------------------------------------
Answer: Volume = 235.62 cm³.
----------------------------------------------<span />
Answer:
![AB=2\sqrt{ab}](https://tex.z-dn.net/?f=AB%3D2%5Csqrt%7Bab%7D)
Step-by-step explanation:
From figure,
![OA=a, \quad \quad O'B=b\\\Rightarrow OO'= (a+b) \quad \quad \text{and}\quad OD=(a-b)](https://tex.z-dn.net/?f=OA%3Da%2C%20%20%5Cquad%20%5Cquad%20O%27B%3Db%5C%5C%5CRightarrow%20OO%27%3D%20%28a%2Bb%29%20%5Cquad%20%5Cquad%20%5Ctext%7Band%7D%5Cquad%20OD%3D%28a-b%29)
In triangle ![OO'D](https://tex.z-dn.net/?f=OO%27D)
![(OO')^2=(OD)^2+(O' D)^2](https://tex.z-dn.net/?f=%28OO%27%29%5E2%3D%28OD%29%5E2%2B%28O%27%20D%29%5E2)
![\Rightarrow (a+b)^2=(a-b)^2+(O' D)^2\\\Rightarrow a^2+b^2+2ab-a^2-b^2+2ab=(O' D)^2\\\Rightarrow 4ab=(O' D)^2\\\Rightarrow O'D=2\sqrt{ab} \\\Rightarrow O' D=2\sqrt{ab}=AB \quad \quad [\because O' DAB\;\; \text{is a rectangle.}]](https://tex.z-dn.net/?f=%5CRightarrow%20%28a%2Bb%29%5E2%3D%28a-b%29%5E2%2B%28O%27%20D%29%5E2%5C%5C%5CRightarrow%20a%5E2%2Bb%5E2%2B2ab-a%5E2-b%5E2%2B2ab%3D%28O%27%20D%29%5E2%5C%5C%5CRightarrow%204ab%3D%28O%27%20D%29%5E2%5C%5C%5CRightarrow%20O%27D%3D2%5Csqrt%7Bab%7D%20%5C%5C%5CRightarrow%20O%27%20D%3D2%5Csqrt%7Bab%7D%3DAB%20%5Cquad%20%5Cquad%20%5B%5Cbecause%20O%27%20DAB%5C%3B%5C%3B%20%5Ctext%7Bis%20a%20rectangle.%7D%5D)
Hence, ![AB=2\sqrt{ab}](https://tex.z-dn.net/?f=AB%3D2%5Csqrt%7Bab%7D)
Answer:
The first option, the mayor will lose by a large percentage.
Step-by-step explanation:
If you look at the numbers, You can see that the two best answers which are excellent and satisfactory are low, and in total equal 28.
Being compared to the lower ratings which are needs improvement and unsatisfactory are high, and in total equal 52.
Seeing this, this shows that the mayor will lose the election the with more than half of the people voting for someone else.
All the other options excluding the first one, say that he will win by a close call, a big percent, or a close call again.
which just leaves the first option saying that he will lose by large percent, which is true.
Answer:
135 !!!!!!!!!!!!
Step-by-step explanation:
Your welcome!!!
7,3
there is two 7s and 3s that is adjacent to each other