To solve this problem, we need to know the formula for the nth term of an arithmetic sequence. The formula is
= t₁ + (n-1)d, with
being the nth term, t₁ being the first term, and d being the distance between terms. Now we can substitute values to figure out what
is. When substituting, the equation becomes:
= 12 + 29(-6)
= -162
That means that the 30th term in this arithmetic sequence is
-162.
Answer:
Step-by-step explanation:
Based on centroid theorem of triangles:
Plug in the value into the equation
One irrational number is π, also known as pi. A rational number is one that can be written as a ratio of two integers (whole numbers). Pi goes on forever, so it can't be written as a ratio. Therefore, π is irrational.
Answer: First option is correct.
Step-by-step explanation:
Since we have given that
We need to find the correct difference.
Collect the like terms together.
Hence, First option is correct.
Answer:Dimensions are of one corral is:
Length=50ft
Width= 37.5ft
Combined area=1875ft
Step-by-step explanation:
Let L= length
Let w = width
There are 3 pieces of fencing: 3L + 4w =300
W = (300 -3L)/ 4 ....equation 1
Combined area of the corrals is given by:
A= L × 2w...eq2
Put eq1 into eq2
A= L ×2(300-3L) /4
A= 1/2 (300 -3 L)^2
A= -(3/2)L^2 + 150
Using -b/2a to solve for L in the quadratic equation
-150/2(3/2) = (150×2)/(2×3)
L = 50ft
W= 300-3(50)/4
W=150/4=37.5ft
Combined are=50×37.5=1875ft
