Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the are length. A. (98 pi)/(3) B. (75 pi)/(4) C. (19 pi)/(3)

Find the are length.\newlineA. 98π3 \frac{98 \pi}{3} \newlineB. 75π4 \frac{75 \pi}{4} \newlineC. 19π3 \frac{19 \pi}{3}

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 2right chevron icon
Sum of finite series not start from 1right chevron icon

Full solution

Q. Find the are length.\newlineA. 98π3 \frac{98 \pi}{3} \newlineB. 75π4 \frac{75 \pi}{4} \newlineC. 19π3 \frac{19 \pi}{3}
  1. Add Arc Lengths: Add up the arc lengths given in options A, B, and C.\newline(98π3)+(75π4)+(19π3)(\frac{98\pi}{3}) + (\frac{75\pi}{4}) + (\frac{19\pi}{3})
  2. Find Common Denominator: Find a common denominator to add the fractions.\newlineCommon denominator is 1212.\newline4×98π4×3\frac{4 \times 98 \pi}{4 \times 3} + 3×75π3×4\frac{3 \times 75 \pi}{3 \times 4} + 4×19π4×3\frac{4 \times 19 \pi}{4 \times 3}
  3. Multiply Numerators: Multiply the numerators by the respective multipliers.\newline(392π12)+(225π12)+(76π12)(\frac{392 \pi}{12}) + (\frac{225 \pi}{12}) + (\frac{76 \pi}{12})
  4. Add Numerators: Add the numerators together.\newline392π+225π+76π=693π392 \pi + 225 \pi + 76 \pi = 693 \pi

More problems from Sum of finite series not start from 1

Question
Find the sum of the finite arithmetic series. ∑n=110(7n+4)\sum_{n=1}^{10} (7n+4)\newline______
Get tutor helpright-arrow

Posted 2 months ago

Question
Type the missing number in this sequence: `55,\59,\63,\text{_____},\71,\75,\79`
Get tutor helpright-arrow

Posted 1 month ago

Question
Type the missing number in this sequence: `2, 4 8`, ______,`32`
Get tutor helpright-arrow

Posted 2 months ago

Question
What kind of sequence is this? 2,10,50,250,…2, 10, 50, 250, \ldots Choices:Choices:\newline[A]arithmetic\text{[A]arithmetic}\newline[B]geometric\text{[B]geometric}\newline[C]both\text{[C]both}\newline[D]neither\text{[D]neither}
Get tutor helpright-arrow

Posted 2 months ago

Question
What is the missing number in this pattern? 1,4,9,16,25,36,49,64,81,____1, 4, 9, 16, 25, 36, 49, 64, 81, \_\_\_\_
Get tutor helpright-arrow

Posted 1 month ago

Question
Classify the series. ∑n=012(n+2)3 \sum_{n = 0}^{12} (n + 2)^3 \newlineChoices:\newline[A]arithmetic\text{[A]arithmetic}\newline[B]geometric\text{[B]geometric}\newline[C]both\text{[C]both}\newline[D]neither\text{[D]neither}
Get tutor helpright-arrow

Posted 1 month ago

Question
Find the first three partial sums of the series.\newline1+6+11+16+21+26+⋯1 + 6 + 11 + 16 + 21 + 26 + \cdots\newlineWrite your answers as integers or fractions in simplest form.\newlineS1=S_1 = ____\newlineS2=S_2 = ____\newlineS3=S_3 = ____
Get tutor helpright-arrow

Posted 1 month ago

Question
Find the third partial sum of the series. \newline3+9+15+21+27+33+⋯3 + 9 + 15 + 21 + 27 + 33 + \cdots\newlineWrite your answer as an integer or a fraction in simplest form. \newlineS3=S_3 = ____
Get tutor helpright-arrow

Posted 1 month ago

Question
Find the first three partial sums of the series. \newline1+7+13+19+25+31+⋯1 + 7 + 13 + 19 + 25 + 31 + \cdots\newlineWrite your answers as integers or fractions in simplest form. \newlineS1=S_1 = ____\newlineS2=S_2 = ____\newlineS3=S_3 = ____
Get tutor helpright-arrow

Posted 2 months ago

Question
Does the infinite geometric series converge or diverge?\newline1+34+916+2764+⋯1 + \frac{3}{4} + \frac{9}{16} + \frac{27}{64} + \cdots\newlineChoices:\newline[A]converge\text{[A]converge}\newline[B]diverge\text{[B]diverge}
Get tutor helpright-arrow

Posted 1 month ago

View all (97)