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
Hatshy [7]
2 years ago
11

37. The sum of first three terms in an arithmetic progression is 24 and the sum of their squares is 224. Find the first three te

rms of this arithmetic progression.
​
Mathematics
1 answer:
Airida [17]2 years ago
8 0

Answer:

12, 8, and 4

Step-by-step explanation:

  • Given

a + d + a + a - d = 24

3a = 24   ⇒  [ a = 8 ]  

and (a + d)² + a² + (a - d)² = 224

3a² + 2d² = 224

2d² = 224 - 192 = 32

d² = 16

[ d = ±4 ]

∴ The first three terms to A.P are

a + d = 8 + 4 = 12

a  -  = 8

a - d = 8 - 4 = 4

∴ Three terms are 12 , 8, and 4

You might be interested in
Three vectors A, B, C in three-dimensional space satisfy the following properties
wlad13 [49]

Answer:

\frac{7}{8}\pi

Step-by-step explanation:

observe

||a–b+c|| = ||a+b+c||

(a-b+c)² = (a+b+c)²

(a+b+c)² – (a-b+c)² = 0

((a+b+c)+(a-b+c))((a+b+c)–(a-b+c)) = 0

(2a+2c)(2b) = 0

(a+c)b = 0

a•b + c•b = 0

||a||×||b||×cos(π/8) + ||c||×||b||×cos(θ) = 0

\cos(\theta)=-\frac{||a||\times ||b|| \times \cos(\frac{\pi}{8})}{||c||\times ||b||}=-\cos(\frac{\pi}{8})\\ \theta=\frac{7}{8}\pi

3 0
3 years ago
In order for the parallelogram to be a rhombus x=
Eva8 [605]

Answer:

17

Step-by-step explanation:

Properties used:-

All sides of rhombus are equal therefore in the triangles

EQUAL SIDE OPPOSITE TO ANGLES, ANGLES BECOME EQUAL

then we use alternate interior angles

Then we get,

3x-11=x+23

2x=34

x=17

4 0
3 years ago
a hotel has a number of meeting rooms,m, available for events. each meeting room has 325 chairs. write an equation to represent
liq [111]
C=325m
Because for every meeting room there is 325 chairs and c=the total of chairs
6 0
4 years ago
How do i find the absolute value for l6ml=42
DIA [1.3K]

Answer:

m = 7

m = -7

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The measure of arc LM is °. The measure of angle MBL is °. The measure of angle MNL is °.
Vedmedyk [2.9K]

The measure of arc LM is 116

The measure angle MBL is 58

The measure of angle MNL is 64

5 0
3 years ago
Read 2 more answers
Other questions:
  • A local middle school adopted a policy for school uniforms. Students can wear black pants or tan pants. They can wear a yellow s
    7·1 answer
  • Round the number 157 to the nearest tens plce
    9·1 answer
  • What is 0.225 in fraction form
    14·2 answers
  • Ruby bought 15 cell phone cases for a total of $145.80. she sells them for $19.50 each, but she is only able to sell 5 of them.
    9·1 answer
  • after geting 5 new rocks geogre gave half of his collection to susan.if george gave susan 36 rocks which equation could be used
    13·2 answers
  • Provide steps please
    9·1 answer
  • (sin30°+cos60°) (tan60°-sec30°)<br>​
    14·2 answers
  • State the slope u-intercept and equation
    12·1 answer
  • Help! I don't understand this! Please respond ASAP
    7·1 answer
  • (HOW TO TYPE IN) what is six percent of 7.95<br>​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!