Answer:
30° = π/6 radians
Step-by-step explanation:
sin θ = 1/2
θ is acute, so it is in the first quadrant. From the unit circle, sin θ = 1/2 when θ = 30°, or π/6 radians.
Easy One way to solve this system of equations would be by substitution. It would helpful to write these equation in the form y=mx + b in order to substitute one equation to the other. We do as follows:
1.) x - 2y = 6
y = x/2 -3
2.) 2x - 4y = 10
y = x/2 - 5/2
As we look at the rearranged equations, we see that their slopes are equal which means they are parallel lines so they do not intersect at one point. There is no solution for this system of equations.
Answer:
81
Step-by-step explanation:
the formula for an arithmetic sequence:
aₙ = a₁ + (n-1)d
where aₙ = the nth term
a₁ = the 1st term = -3
n = the term number = 13
d = the common difference = 7
Plugging in those values into the formula to find a₁₃:
a₁₃ = -3 + (13-1)7
= -3 + (12)7
= -3 + 84
= 81
Answer:
Dear user,
Answer to your query is provided below
82300000 in scientific notation = 8.23 × 10^7.
Step-by-step explanation:
Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8.