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
Paul [167]
3 years ago
13

(a) Find the common difference of an A.P. whose first term is 5 and the number of terms is 30 and sum 1455.

Mathematics
1 answer:
Alexxandr [17]3 years ago
4 0
Sum = n/2[2a + (n - 1)d] where a = first term, n = number of terms and d = common difference

(a) 30/2(2 x 5 + (30 - 1) x d) = 1455
10 + 29d = 1455 / 15
29d = 97 - 10
d = 87 / 29 = 3

(b) 7/2(2 x 9 + (7 - 1)d) = 0
18 + 6d = 0
6d = -18
d = -3
You might be interested in
The function y=−16x2+v0x models the height of a football in feet x seconds after a player kicks it. In the equation of the funct
Vesna [10]
16x^2-vox=0 when x=2 so

16x^2-vox=0

64-2vo

64=2vo

vo=32 ft/s

3 0
3 years ago
Read 2 more answers
A right triangle has a hypotenuse of 25 feet and a leg of 7 feet. Which of these is the length of the other leg?
neonofarm [45]
25^2=7^2 + x^2
49 + x^2 = 625
x^2= 576
square both sides
x=24
5 0
3 years ago
Read 2 more answers
50 points! I will mark brainliest! This is due ASAP! So please hurry... random answer will be reported ;)
bagirrra123 [75]

Answer:

choice 4) right scalene (one right angle and the side opposite that angle is the longest side)

choice 1) obtuse isosceles  (one angle greater than 90 degrees and 2 equal length legs)

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Help plz brainliest for first answer and best answer
Leto [7]

Answer:

C.15

Step-by-step explanation:

one box has 5 chocolates so 3*5=15

7 0
3 years ago
Solve P = P - C for C
Rina8888 [55]

Answer:

c=0

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • Faith, Sarah, and Guadalupe take French, Spanish, and German. No person's language begins with the same letter as their first na
    9·1 answer
  • ASAP NEED HELP PLEASE OH AND THIS IS 7TH GRADE MATH SO YEAH HELP
    12·1 answer
  • How many numbers between 40 and 129 are equal to 6 times an integer
    6·1 answer
  • WXYZ is a quadrilateral in the coordinate plane which Step will you help to show that WXYZ is a trapezoid. with explanation plz​
    6·2 answers
  • If snow accumulates at a rate of 2 inches every 3 hours, how many hours will it take to accumulate 2 feet of snow?​
    12·2 answers
  • I need help pleaseee
    15·2 answers
  • Ghhhhhhjreffr76f7urfytfy6r
    5·1 answer
  • An investment will pay $100 at the end of each of the next 3 years, $250 at the end of Year 4, $300 at the end of Year 5, and $6
    6·1 answer
  • Which of the following illustrates the truth value of the given conditional statement?
    13·1 answer
  • Work out the acceleration, in km/h^2 in the first 15mins
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!