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Burka [1]
3 years ago
6

Find 1 plus +2 plus +3 plus +4 plus +... plus + 50 50​, the sum of the first 50 50 natural numbers.

Mathematics
1 answer:
anygoal [31]3 years ago
3 0

Answer:

1275

Step-by-step explanation:

1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+21+22+23+24+25+26+27+28+29+30+31+32+33+34+35+36+37+38+39+40+41+42+43+44+45+46+47+48+49+50 never get tired of counting

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A dog sits at a corner of a square with side length 44 meters. the dog runs 10 meters along a diagonal toward the opposite corne
wlad13 [49]

Refer to the figure given below while reading the solution.

Suppose the dog reaches position A when traveled 10 m diagonally towards the opposite side.

And then position B when traveled 5 m towards the right turning 90°.

We can observe that APC is a right triangle with legs of equal length AC. And the coordinates of the point A is (AC, AC).

Also we can observe that APB is a right triangle with legs of equal length AD. Then the coordinates of the point D is (AC, AC-AD).
Hence, the coordinates of B will be (AC+AD, AC-AD).

Now, we since we have the coordinates we can calculate the shortest distances of B from each of the sides.

  1. The shortest distance of B from PQ = AC-AD
  2. The shortest distance of B from SR = 44-(AC-AD)
  3. The shortest distance of B from SP = AC+AD
  4. The shortest distance of B from RQ = 44-(AC+AD)

So, the average of the shortest distances of B from each side is \frac{(AC-AD)+44-(AC-AD)+(AC+AD)+44-(AC+AD)}{4}=\frac{44+44}{4}=22

Hence, the average of the shortest distance of B from each side is 22 m

Learn more about average here-

brainly.com/question/24057012

#SPJ10





7 0
2 years ago
9x - 3-8r = 7 - x<br><br> A. x= -7<br> B. x = -2<br> C. x=4<br> D. x = 5
Rainbow [258]

Answer:

C. x=4

Step-by-step explanation:

5 0
3 years ago
Check whether (0, -2) is solution of the equation x - 2y = 4 or not.
Elan Coil [88]

Answer: Yes, it is a solution

===================================================

Explanation:

Any ordered pair, aka point, is of the form (x,y)

x is always listed first

The point (0,-2) means x = 0 and y = -2 pair up together

Let's plug them into the equation and simplify everything

x-2y = 4

0-2(-2) = 4

0+4 = 4

4 = 4

We end up with a true statement since we get the same thing on both sides, therefore the original equation is true for (x,y) = (0,-2)

(0,-2) is a solution to the given equation

Phrased another way: the point (0,-2) is on the line x-2y = 4. This point is the y intercept.

6 0
3 years ago
Please help me! Will give points and mark brainliest answer. I have been stuck on this for a while too. Will give 30 points.
garri49 [273]

Answers:

1A. You see, every amount of T shirts costs 5.5 times more than it's amount. So if "n" is the number of shirts and "C" is what it costs, then the equation must be C=5.5n.

1B. Idon't know how to graph it here sorry.

1C. You have to look back to the equation. It has our coefficient (5.5n) on one side and C on the other,so the answer is just 5.5n. Now the questions says 120 shirts so (120)5.5 equals 660.

1D. I just did

7 0
4 years ago
A parallelogram has an area of 300 square kilometers and a height of 20 kilometers. What is the length of the base?
Neko [114]

Answer: the length of the base is 15 kilometers.

Step-by-step explanation:

formula : Area of parrallelogram  = Length of base x height

Given: Area of parallelogram = 300 square kilometers

height = 20 kilometers

Substituting values in the formula , we get

300 = Length of base x 20

Length of base  = \frac{300}{20}

= 15 kilometers

Hence, the length of the base is 15 kilometers.

4 0
3 years ago
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