Here's a pattern to consider:
1+100=101
2+99=101
3+98=101
4+97=101
5+96=101
.....
This question relates to the discovery of Gauss, a mathematician. He found out that if you split 100 from 1-50 and 51-100, you could add them from each end to get a sum of 101. As there are 50 sets of addition, then the total is 50×101=5050
So, the sum of the first 100 positive integers is 5050.
Quick note
We can use a formula to find out the sum of an arithmetic series:

Where s is the sum of the series and n is the number of terms in the series. It works for the above problem.
Answer: 0.06x
Step-by-step explanation:
- An algebraic expression is an expression consist of integer constants, variables, and algebraic operations.
The given statement: A number is 30% of 20% of the number x.
The required algebraic expression would be:
30% of 20% of x
[we divide a percentage by 100 to convert it into decimal]

Hence, the required algebraic expression would be :
0.06x
<span>sin θ = opposite/hypotenuse
P(18,24) lies in the first quadrant as both are positive.
x=18
y=24
Hypotenuse = sqrt (18^2 + 24^2)
</span><span>Hypotenuse = 30
</span><span>sin θ = 24/30
</span><span>sin θ = 4/5
</span>θ = sin^-1 (4/5)
<span>θ = 53.13 degrees</span>
In the general case, it is (x, y+3), where y = f(x).
Answer: Kinetic Energy Potential Energy Chemical Energy Elastic Energy Gravitational Energy Magnetic Energy Nuclear Energy Light Energy Radiant Energy Sound Energy Thermal Energy Mechanical Energy Electrical Energy
Step-by-step explanation: