Arc length of the quarter circle is 1.57 units.
Solution:
Radius of the quarter circle = 1
Center angle (θ) = 90°
To find the arc length of the quarter circle:
![$=2 \times 3.14 \times 1\left(\frac{90^\circ}{360^\circ}\right)](https://tex.z-dn.net/?f=%24%3D2%20%5Ctimes%203.14%20%20%5Ctimes%201%5Cleft%28%5Cfrac%7B90%5E%5Ccirc%7D%7B360%5E%5Ccirc%7D%5Cright%29)
![$=2 \times 3.14 \times 1\left(\frac{1}{4}\right)](https://tex.z-dn.net/?f=%24%3D2%20%5Ctimes%203.14%20%20%5Ctimes%201%5Cleft%28%5Cfrac%7B1%7D%7B4%7D%5Cright%29)
Arc length = 1.57 units
Arc length of the quarter circle is 1.57 units.
There are 26 letters with 5 vowels. That is a 5/26 chance of randomly picking a vowel. Hope this is helpful!
Answer:
![l=\dfrac{2(S-b)}{P}](https://tex.z-dn.net/?f=l%3D%5Cdfrac%7B2%28S-b%29%7D%7BP%7D)
Step-by-step explanation:
The surface area formula for pyramids is given by :
...(1)
We need to arrange the formula for l.
Take b to LHS,
![S-b=\dfrac{1}{2}Pl\\\\2(S-b)=Pl\ [\text{cross-multiplying}]\\\\l=\dfrac{2(S-b)}{P}](https://tex.z-dn.net/?f=S-b%3D%5Cdfrac%7B1%7D%7B2%7DPl%5C%5C%5C%5C2%28S-b%29%3DPl%5C%20%5B%5Ctext%7Bcross-multiplying%7D%5D%5C%5C%5C%5Cl%3D%5Cdfrac%7B2%28S-b%29%7D%7BP%7D)
So, the expression is
for the slant height.