Answer:
5/4
Step-by-step explanation:
Using coordinates (10,0) and (90,100)
Slope m = (y2-y1)/(x2-x1)
m = (100 - 0)/(90 - 10) = 100/80 = 10/8 = 5/4
An integer is a whole number. Sum means to add and since they are consecutive, there is only a difference of 1 between them.
1) 21 + 23: not consecutive
2) 23+24= 47: has to be at least 46
3) 22+23= 45: has to be at least 46
4) 24+25= 49: has to be at least 46
So we have two possibilities: either #2 or #4. Find least possible pair of integers.
x= first integer
x+1= second integer
x + (x+1) >= 46
2x + 1 >=46
2x>=45
x>=22.5
Answer:
The first integer has to be greater than or equal to 22.5. Since integers are whole numbers, round up to the next whole number. The least possible integers are #2) 23 and 24.
Hope this helps! :)
Answer: ME
Step-by-step explanation:
<h2>Greetings!</h2>
Answer:
≅ 586.8
Step-by-step explanation:
Take x to be the width, if the length is 5x bigger than the width, then this can be shown by 5x.
The total perimeter is:
(2 * x) + (2 * 5x) because each side has another parallel one.
This means that 2x + 10x = 130
12x = 130
Divide both sides by 12:
x = 
So the area = length * width
x * 5x = area
Substitute the values in:
= 586.8055... ≅ 586.8
So the approximate area is 586.8
<h2>Hope this helps!</h2>
The total value of the sequence is mathematically given as
498501
<h3>The sum of the sequence is..?</h3>
Generally, the equation for Gauss's Problem is mathematically given as
The sum of an arithmetic series;
1+2+3+...+n= n(n+1)/2
Given an arithmetic sequence,
1+2+3+...+998,
Here,
n = 998
1+2+3+...+n=n(n+1)/2
1+2+3+...+998=98(998 + 1)/2
998 x 999 1+2+3+...+998 =2
1+2+3+...+998 = 498501
In conclusion, 498501 is the total value of the sequence.
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