1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Flauer [41]
2 years ago
11

A ribbon is cut into n parts. The length of each part increases such that they form a geometric progression. SPM Given the lengt

h of the fourth part of the ribbon is 9 times the length of the second part of the ribbon.
(a) Calculate the common ratio.

(b) If the total length of the ribbon is 1 476.2 m and the length of the first part is 5 cm, calculate

(i) the value of n,

(ii) the length, in cm, of the last part of the ribbon. panjang,
​
Mathematics
1 answer:
emmainna [20.7K]2 years ago
5 0

Answer:

Step-by-step explanation:

Let\ say\ r \ the \common\ ratio:\\a)a_4=r^2*a_2=9*a_2\Longrightarrow\ r=3\ (not\ -3\ since\ parts\ are\ positive)\\\\b)\\\displaystyle \sum_{i=1}^{n} a_i =a_1+a_2+a_3+...+a_n\\\\=a_1+a_1*r+a_1*r^2+a_1*r^3+...+a_1*r^{n-1}\\\\=a_1*(1+r+r^2+...+r^{n-1})\\\\=a_1*\dfrac{r^n-1}{r-1} \\\\147620=5*\frac{(3^n-1)}{3-1} \\\\3^n-1=\frac{2*147620}{5} \\\\3^n=59049 \\\\n*ln(3)=ln(59049)\\\\n=\dfrac{ln(59049)}{ln(3)} \\\\n=10\\\\a_n=5*3^{10-1}=5*19683=98415(cm)

You might be interested in
103.561 + 102.327 PLZ ANSWER ASAP
KengaRu [80]

the answer is 205.888


7 0
3 years ago
Read 2 more answers
Find the length of side b<br><br> I need help plss
MrMuchimi
20




.......…......?7)$:&:&:7$:$;$;)$3$3$;$
6 0
2 years ago
M=F+Frt<br><br> solve for t...
Aliun [14]

Answer:

m=f+Frt

M=f(1+rt)

M\1+rt=F

4 0
2 years ago
Write the domain &amp; range of the function using interval notation.
fgiga [73]
Option A will be the correct answer
5 0
3 years ago
The distance formula can be derived from the Pythagorean theorem.<br> True<br> False
netineya [11]
Correct answer is A.

d(A,B) - distance between points A(x_1,y_1),B(x_2,y_2)

d^2=(x_2-x_1)^2+(y_2-y_1)^2
8 0
3 years ago
Other questions:
  • Evaluate cube root of 5 multiplied by square root of 5 over cube root of 5 to the power of 5
    12·1 answer
  • Which of the following
    5·1 answer
  • Keaton wrote the following paragraph proof for the Vertical Angles Theorem: The sum of angle 1 and angle 4 and the sum of angle
    9·2 answers
  • The? half-life of a radioactive substance is 20 years. If you start with some amount of this? substance, what fraction will rema
    9·1 answer
  • Graph the inequality of y less than or equal to2x + 2?
    11·1 answer
  • Solve this:<br>-30-5x=-7x+14
    7·1 answer
  • An electronics store purchases
    10·1 answer
  • If x=6 and y=−4, evaluate the following expression:10+5xy​
    9·2 answers
  • Please please please please please please please please please please pleaseee <br> HELPPpppPpP
    14·2 answers
  • Select the correct answer from each drop-down menu.A carpenter is building a triangular frame. She has three pieces of wood meas
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!