Answer:
0.23333333...
Step-by-step explanation:
X+2/3 = 9/10. X = 9/10 - 2/3 = 27/30 - 20/30 = 7/30 = 0.2333333...
Answer:
-6x+104/5
Step-by-step explanation:
Distribute: (4)(x)+(4)(5)+-10x+4/5 = 4x+20+ -10x + 4/5 combine like terms: (4x+-10x) + (20+4/5) simplify: -6x 104/5 answer: -6x+104/5
The answer would easily be Poisson distribution
Answer:
The diameter of the base of the cylinder is 2 cm.
Step-by-step explanation:
<u>GIVEN</u> :
As per given question we have provided that :
- ➣ Height of cylinder = 14 cm
- ➣ Curved surface area = 88 cm²
![\begin{gathered}\end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%5Cend%7Bgathered%7D)
<u>TO</u><u> </u><u>FIND</u> :
in the provided question we need to find :
- ➠ Radius of cylinder
- ➠ Diameter of cylinder
![\begin{gathered}\end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%5Cend%7Bgathered%7D)
<u>USING</u><u> </u><u>FORMULAS</u> :
![\star{\underline{\boxed{\sf{\purple{Csa = 2 \pi rh}}}}}](https://tex.z-dn.net/?f=%5Cstar%7B%5Cunderline%7B%5Cboxed%7B%5Csf%7B%5Cpurple%7BCsa%20%3D%202%20%5Cpi%20rh%7D%7D%7D%7D%7D)
![\star{\underline{\boxed{\sf{\purple{d = 2r}}}}}](https://tex.z-dn.net/?f=%5Cstar%7B%5Cunderline%7B%5Cboxed%7B%5Csf%7B%5Cpurple%7Bd%20%3D%202r%7D%7D%7D%7D%7D)
- ➛ Csa = Curved surface area
- ➛ π = 22/7
- ➛ r = radius
- ➛ h = height
- ➛ d = diameter
![\begin{gathered}\end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%5Cend%7Bgathered%7D)
<u>SOLUTION</u> :
Firstly, finding the radius of cylinder by substituting the values in the formula :
![\begin{gathered} \qquad{\longrightarrow{\sf{Csa = 2 \pi rh}}} \\ \\ \qquad{\longrightarrow{\sf{88 = 2 \times \dfrac{22}{7} \times r \times 14}}} \\ \\ \qquad{\longrightarrow{\sf{88 =\dfrac{44}{7} \times r \times 14}}} \\ \\ \qquad{\longrightarrow{\sf{88 =\dfrac{44}{\cancel{7}}\times r \times \cancel{ 14}}}} \\ \\ \qquad{\longrightarrow{\sf{88 =44 \times r \times 2}}} \\ \\ \qquad{\longrightarrow{\sf{88 =88 \times r}}} \\ \\ \qquad{\longrightarrow{\sf{r = \frac{88}{88}}}} \\ \\ \qquad{\longrightarrow{\underline{\underline{\sf{\pink{r = 1 \: cm}}}}}} \end{gathered}](https://tex.z-dn.net/?f=%20%5Cbegin%7Bgathered%7D%20%5Cqquad%7B%5Clongrightarrow%7B%5Csf%7BCsa%20%3D%202%20%5Cpi%20rh%7D%7D%7D%20%5C%5C%20%20%5C%5C%20%5Cqquad%7B%5Clongrightarrow%7B%5Csf%7B88%20%3D%202%20%5Ctimes%20%5Cdfrac%7B22%7D%7B7%7D%20%5Ctimes%20r%20%5Ctimes%2014%7D%7D%7D%20%20%5C%5C%20%20%5C%5C%20%5Cqquad%7B%5Clongrightarrow%7B%5Csf%7B88%20%3D%5Cdfrac%7B44%7D%7B7%7D%20%5Ctimes%20r%20%5Ctimes%2014%7D%7D%7D%20%5C%5C%20%20%5C%5C%20%5Cqquad%7B%5Clongrightarrow%7B%5Csf%7B88%20%3D%5Cdfrac%7B44%7D%7B%5Ccancel%7B7%7D%7D%5Ctimes%20r%20%5Ctimes%20%20%5Ccancel%7B%2014%7D%7D%7D%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Cqquad%7B%5Clongrightarrow%7B%5Csf%7B88%20%3D44%20%5Ctimes%20r%20%5Ctimes%202%7D%7D%7D%20%5C%5C%20%20%5C%5C%20%5Cqquad%7B%5Clongrightarrow%7B%5Csf%7B88%20%3D88%20%5Ctimes%20r%7D%7D%7D%20%5C%5C%20%20%5C%5C%20%5Cqquad%7B%5Clongrightarrow%7B%5Csf%7Br%20%3D%20%20%5Cfrac%7B88%7D%7B88%7D%7D%7D%7D%20%5C%5C%20%20%5C%5C%20%5Cqquad%7B%5Clongrightarrow%7B%5Cunderline%7B%5Cunderline%7B%5Csf%7B%5Cpink%7Br%20%3D%201%20%5C%3A%20cm%7D%7D%7D%7D%7D%7D%20%5Cend%7Bgathered%7D)
Hence, the radius of cylinder is 1 cm.
———————————————————————
Now, finding the diameter of cylinder by substituting the values in the formula :
![\begin{gathered} \qquad{\longrightarrow{\sf{d = 2r}}} \\ \\ \qquad{\longrightarrow{\sf{d = 2 \times 1}}} \\ \\ \qquad{\longrightarrow{\underline{\underline{\sf{\red{r = 2 \: cm}}}}}}\end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cqquad%7B%5Clongrightarrow%7B%5Csf%7Bd%20%3D%202r%7D%7D%7D%20%5C%5C%20%20%5C%5C%20%20%5Cqquad%7B%5Clongrightarrow%7B%5Csf%7Bd%20%3D%202%20%5Ctimes%201%7D%7D%7D%20%5C%5C%20%20%5C%5C%20%5Cqquad%7B%5Clongrightarrow%7B%5Cunderline%7B%5Cunderline%7B%5Csf%7B%5Cred%7Br%20%3D%202%20%5C%3A%20cm%7D%7D%7D%7D%7D%7D%5Cend%7Bgathered%7D)
Hence, the diameter of the base of the cylinder is 2 cm.
![\rule{300}{2.5}](https://tex.z-dn.net/?f=%5Crule%7B300%7D%7B2.5%7D)
Answer:
The slope of one of the guy wires is m=0.7
Step-by-step explanation:
we know that
The slope of one of the guy wire is equal to divide the vertical distance of the guy wire by the horizontal distance of the guy wire
we have
----> horizontal distance
----> vertical distance
so
![m=\frac{h}{d}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7Bh%7D%7Bd%7D)
substitute the given values
![m=\frac{70}{100}=0.7](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B70%7D%7B100%7D%3D0.7)