Answer:
Step-by-step explanation:
Prove: That the sum of the squares of 4 consecutive integers is an even integer.
An integer is a any directed number that has no decimal part or indivisible fractional part. Examples are: 4, 100, 0, -20,-100 etc.
Selecting 4 consecutive positive integers: 5, 6, 7, 8. Then;
= 25
= 36
= 49
= 64
The sum of the squares = 25 + 36 + 49 + 64
= 174
Also,
Selecting 4 consecutive negative integers: -10, -11, -12, -13. Then;
= 100
= 121
= 144
= 169
The sum of the squares = 100 + 121 + 144 + 169
= 534
Therefore, the sum of the squares of 4 consecutive integers is an even integer.
Answer:
3,847.40376
Step-by-step explanation:
Volume of a sphere=
4/3π(11)³=5,575.27976
Volume of a cylinder=
π(5)²(22)=1,727.876
Total volume=
5,575.27976-1,727.876=3,847.40376
Answer:
The radius of circle B is 6 times greater than the radius of circle A
The area of circle B is 36 times greater than the area of circle A
Step-by-step explanation:
we have
<em>Circle A</em>
The radius of circle A is
-----> the radius is half the diameter
<em>Circle B</em>
Compare the radius of both circles
The radius of circle B is six times greater than the radius of circle A
Remember that , if two figures are similar, then the ratio of its areas is equal to the scale factor squared
All circles are similar
In this problem the scale factor is 6
so
therefore
The area of circle B is 36 times greater than the area of circle A
Answer:
One solution
Step-by-step explanation:
0.75 (x + 40) = 0.35 (x + 20) + 0.35 (x + 20)
0.75x + 30 = 0.35x + 7 + 0.35x + 7
0.75x + 30 = 0.7x + 14
0.05x + 30 = 14
0.05x = -16
x = -320
Hope this helps!
Answer:
x = 139º
Step-by-step explanation:
A line = 180º
180º - 41 º = 139º
