Circumference: 2 * pi * r
pi = 3.14, r = 4
2 * 3.14 * 4 = 25.12
Circumference: 25.12 cm
Area = pi * r^2
pi = 3.14, r = 4
3.14 * 4^2 = 50.24
Area: 50.24 cm^2
1,000 because kilometers is 1,000 is how many is for 2 but for one it's 500
Answer:
<h2>
258</h2>
![258\quad \mathrm{Remainder}\quad \:0](https://tex.z-dn.net/?f=258%5Cquad%20%5Cmathrm%7BRemainder%7D%5Cquad%20%5C%3A0)
Step-by-step explanation:
![\frac{1032}{4} \\\\\begin{matrix}4\overline{|\smallspace1032}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}\\\\\mathrm{Divide}\:10\:\mathrm{by}\:4\:\mathrm{to\:get}\:2\\\begin{matrix}\space\space\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\\ 4\overline{|\smallspace1032}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}\\\\](https://tex.z-dn.net/?f=%5Cfrac%7B1032%7D%7B4%7D%20%5C%5C%5C%5C%5Cbegin%7Bmatrix%7D4%5Coverline%7B%7C%5Csmallspace1032%7D%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cend%7Bmatrix%7D%5C%5C%5C%5C%5Cmathrm%7BDivide%7D%5C%3A10%5C%3A%5Cmathrm%7Bby%7D%5C%3A4%5C%3A%5Cmathrm%7Bto%5C%3Aget%7D%5C%3A2%5C%5C%5Cbegin%7Bmatrix%7D%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cemptyspace2%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5C%5C%204%5Coverline%7B%7C%5Csmallspace1032%7D%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cend%7Bmatrix%7D%5C%5C%5C%5C)
![\mathrm{Multiply\:the\:quotient\:digit}\:\left(2\right)\:\mathrm{by\:the\:divisor}\:4\\\begin{matrix}\space\space\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\\4\overline{|\smallspace1032}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\space\space\underline{\emptyspace8}\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\end](https://tex.z-dn.net/?f=%5Cmathrm%7BMultiply%5C%3Athe%5C%3Aquotient%5C%3Adigit%7D%5C%3A%5Cleft%282%5Cright%29%5C%3A%5Cmathrm%7Bby%5C%3Athe%5C%3Adivisor%7D%5C%3A4%5C%5C%5Cbegin%7Bmatrix%7D%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cemptyspace2%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5C%5C4%5Coverline%7B%7C%5Csmallspace1032%7D%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5C%5C%20%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cunderline%7B%5Cemptyspace8%7D%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cspace%5Cend)
Long story short ,
![\mathrm{The\:solution\:for\:Long\:Division\:of}\:\\\frac{1032}{4}\:\mathrm{is}\\\:258\:\mathrm{with\:remainder\:of}\:0](https://tex.z-dn.net/?f=%5Cmathrm%7BThe%5C%3Asolution%5C%3Afor%5C%3ALong%5C%3ADivision%5C%3Aof%7D%5C%3A%5C%5C%5Cfrac%7B1032%7D%7B4%7D%5C%3A%5Cmathrm%7Bis%7D%5C%5C%5C%3A258%5C%3A%5Cmathrm%7Bwith%5C%3Aremainder%5C%3Aof%7D%5C%3A0)
Answer:
4π
Step-by-step explanation:
-A circle subtends a total angle of 360 ° from its center.
-The length of an arc is directly proportional to the angle it subtends from the circle's center.
#The arc's length can therefore be calculated as:
![C=\pi D=2\pi r\\\\\therefore C=\frac{72\textdegree}{360\textdegree}\times 2\pi \times 10\\\\=4\pi](https://tex.z-dn.net/?f=C%3D%5Cpi%20D%3D2%5Cpi%20r%5C%5C%5C%5C%5Ctherefore%20C%3D%5Cfrac%7B72%5Ctextdegree%7D%7B360%5Ctextdegree%7D%5Ctimes%202%5Cpi%20%5Ctimes%2010%5C%5C%5C%5C%3D4%5Cpi)
Hence, the length of the arc is 4π
The two equations are equivalent.
The postage for 3 posters is $5.
Lois$ wrote an expression for the total they both spent as 6x + 10 6(25) +10
150 +10 = 160
Clark wrote another expression for the total, saying that it represented the same cost: 2(3x + 5). = 2(3x) + 2(5) 6x + 10 = 6(25) + 10 = 150+10 160
If each poster costs $25, do the two expressions give the same amount?