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
asambeis [7]
3 years ago
13

Determine whether or not 630 is a triangular number. start with the formula t n = n ( n + 1 ) 2 and then use the quadratic formu

la to make your decision. (a) true or false: 630 is a triangular number:
Mathematics
1 answer:
ziro4ka [17]3 years ago
7 0
Triangular sequence = n(n + 1)/2

If 630 is a triangular number, then:

n(n + 1)/2  = 630

Then n should be a positive whole number if 630 is a triangular number.

n(n + 1)/2  = 630

n(n + 1)  = 2*630

n(n + 1)  = 1260

n² + n = 1260

n² + n - 1260 = 0

By trial an error note that 1260 = 35 * 36

n² + n - 1260 = 0

Replace n with 36n - 35n

n² + 36n - 35n - 1260 = 0

n(n + 36) - 35(n + 36) = 0

(n + 36)(n - 35) = 0

n + 36 = 0   or   n - 35 = 0

n = 0 - 36,   or  n = 0 + 35

n = -36, or 35

n can not be negative. 

n = 35 is valid.

Since n is a positive whole number, that means 630 is a triangular number.

So the answer is True.
You might be interested in
Evaluate this exponential expression 7 • (6+2)^2 - 3^2=
Lelu [443]

Answer: 441

Step-by-step explanation:

7*(6+2)^2-3^2

7*8^2-3^2

7*64-9

448-9

441

3 0
2 years ago
Find the range of the function f(x)=5-4x given the domain = {-1,0,1}
kondor19780726 [428]

Answer:

I don't get what you are trying to say I think you need to put it in better understanding

7 0
3 years ago
What equations have z=4​
natita [175]
<h2>Just some examples...</h2>

2z+4=12

2(4)+4=12

<em>8+4=12</em>

____________

5z*2=40

5(4)*2=40

<em>20*2=40</em>

<h2 />
6 0
3 years ago
For the right Triangle below, Find the exact values of the side lengths c and a.
vladimir2022 [97]

c=3\sqrt{3}\\a=4\sqrt{2}

Step-by-step explanation:

The trigonometric ratios will be used used for finding the values of given variable

For c

We have to use a ratio that has perpendicular and base in it. so we will use tan x

tan\ 60 = \frac{P}{B}\\tan\ 60=\frac{c}{3}\\\sqrt{3}=\frac{c}{3}\\3*\sqrt{3}=c\\c=3\sqrt{3}

similarly for a

sin\ 45 = \frac{b}{h}\\\frac{\sqrt{2}}{2}=\frac{a}{8}\\\frac{\sqrt{2}}{2}*8=a\\a=4\sqrt{2}

Hence,

c=3\sqrt{3}\\a=4\sqrt{2}

Keywords: Triangles, Trigonometric Ratios

Learn more about triangle at:

  • brainly.com/question/10879401
  • brainly.com/question/10940255

#LearnwithBrainly

4 0
3 years ago
0.71 divided by 12.07
melamori03 [73]

Answer:

0.0588

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • How many ways can 6 people sit on a bench if 3 of them have to sit side by side
    8·1 answer
  • If the measure of angle BDC=100°, measure of angle A = 50°, and measure of angle DBC= 30°. which statement is true?
    12·1 answer
  • The difference between a number and 12 is 20
    9·1 answer
  • Factor completely <br> v^2-6v-7
    14·1 answer
  • Which quantity is proportional to 35⁄80?<br> Check all that are true.
    9·1 answer
  • Choose the expression that correctly compares 0.720 and 0.7200​
    5·2 answers
  • What is the rate of change?
    13·1 answer
  • Determine whether the triangles are similar. If they are, state how (AA , SSS, SAS -). And choose the correct similarity stateme
    13·1 answer
  • (3x2)(−2x4) = 3(−2)x2∙4 = 6x8
    10·2 answers
  • 12, 3.1.52<br><br> If f(x) = x and g(x) = 2x³, find f[g(x)], and g[f(x)]
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!