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
nalin [4]
3 years ago
10

Use Gauss's approach to find the sum for 1+2+3+4+...+999

Mathematics
2 answers:
borishaifa [10]3 years ago
8 0
Sn=(a₁+an)n/2

Data:
a₁=1
an=999
n=999

Sn=(1+999)*999 /2=(1000)*999/2=999000/2=499500

Answer: the sum is 499500
kow [346]3 years ago
4 0
1+999=1000
\frac{999}{2}
=499.5

The sum
=1000*499.5
=499500

You might be interested in
A shooting star forms a right triangle with the Earth and the Sun, as shown below:
Semmy [17]

I found this!!!!

The scientist can use these two measurements to calculate the distance between the Sun and the shooting star by applying one of the trigonometric functions: Cosine of an angle.

- The scientist can substitute these measurements into cos\alpha=\frac{adjacent}{hypotenuse}cosα=

hypotenuse

adjacent

and solve for the distance between the Sun and the shooting star (which would be the hypotenuse of the righ triangle).

Step-by-step explanation:

You can observe in the figure attached that "AC" is the distance between the Sun and the shooting star.

Knowing the distance between the Earth and the Sun "y" and the angle x°, the scientist can use only these two measurements to calculate the distance between the Sun and the shooting star by applying one of the trigonometric functions: Cosine of an angle.

This is:

cos\alpha=\frac{adjacent}{hypotenuse}cosα=

hypotenuse

adjacent

In this case:

\begin{gathered}\alpha=x\°\\\\adjacent=BC=y\\\\hypotenuse=AC\end{gathered}

α=x\°

adjacent=BC=y

hypotenuse=AC

Therefore, the scientist can substitute these measurements into cos\alpha=\frac{adjacent}{hypotenuse}cosα=

hypotenuse

adjacent

, and solve for the distance between the Sun and the shooting star "AC":

cos(x\°)=\frac{y}{AC}cos(x\°)=

AC

y

AC=\frac{y}{cos(x\°)}AC=

cos(x\°)

y

7 0
3 years ago
Anyone? Know how to do this?
ki77a [65]

Answer:

  • x = 4
  • length = 19 ft
  • width = 11 ft

Step-by-step explanation:

The area is given by the product of length and width.

  A = LW

  209 = (4x +3)(4x -5)

  209 = 16x^2 -8x -15

  224 = 16x^2 -8x

You could rearrange and use the quadratic formula at this point, but we elect to "complete the square".

  14 = x^2 -(1/2)x

  14 +1/16 = x^2 -1/2x +(1/4)^2 . . . . . add the square of half the x-coefficient

  (x -0.25)^2 = 14.0625

  x = 0.25 ± 3.75 . . . . . . take the square root; add 0.25

Only positive values of x are useful here, so we have

  x = 4

Then the dimensions are ...

  length = 4x +3 = 4(4) +3 = 19 . . . feet

  width = 4x -5 = 16 -5 = 11 . . . feet

5 0
3 years ago
Answer this question
ElenaW [278]

Answer:

12−3xStep-by-step explanation:

6 0
2 years ago
What are the next three numbers in this pattern? 11, 22, 12, 23, . . .
liq [111]

Answer:

13 , 24 , 14

Step-by-step explanation:

Note that technically there are two patterns. Each one adds 1.

The first pattern starts with 11. The third number is 12, which means that the fifth number will be 13, and the 7th number will be 14.

The second pattern starts with 22. The 4th number is 23, which means the sixth number will be 24.

~

4 0
3 years ago
Read 2 more answers
The polynomial function f(x) is a fourth degree polynomial. Which of the following could be the complete list of the roots of f(
cluponka [151]

Answer:

the answer is A

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • Having a problem figuring out how to solve these types of math problems, any help would be appreciated. Use substitution to solv
    13·2 answers
  • A regular hexagon has an apothem measuring 14 cm and an approximate perimeter of 96 cm.
    12·2 answers
  • Can any side of a triangle be labeled as its base? Explain.
    7·1 answer
  • Tremaine is mailing a package to his grandmother. Which tool and unit could be used to measure the weight of the package?
    13·2 answers
  • Please help. !!!!Thank you
    11·2 answers
  • I been so lost and confused on this ;( help?
    8·1 answer
  • The speed limit on a city road is 40 miles per hour.Which inequality best represents the speed s a person may drive in this neig
    13·2 answers
  • Write 4/5 as a decimal
    10·2 answers
  • A store has 40 bags of potato chips on the shelf. Of those bags, 30 are cheddar-flavored. What percentage of the bags of potato
    6·1 answer
  • If (3x2 + 22x + 7) ÷(x + 7) = 3x + 1, then (x + 7)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!