An= mth term.
an=a₁+(n-1)*d
a₁₂=41
a₁₅=140
a₁₂=41
41=a₁+(12-1)*d
41=a₁+11d
a₁+11d=41 (1)
a₁₅=140
140=a₁+(15-1)*d
140=a₁+14d
a₁+14d=140 (2)
With the equiations (1) and (2) build a system of equations
a₁+11d=41
a₁+14d=140
we solve it.
-(a₁+11d=41)
a₁+14d=140
--------------------
3d=99 ⇒d=99/3=33
a₁+11d=41
a₁+(11*33)=41
a₁+363=41
a₁=41-363=-322
an=a₁+(n-1)*d
an=-322+(n-1)*33
an=-322+33n-33
an=-355+33n
an=-355+33n
To check:
a₁₂=-355+33*12=-355+396=41
a₁₅=-355+33*15=-355+495=140.
Answer:
D is correct.
Step-by-step explanation:
(x + 2)^2 + (y - 6)^2 = r^2
(-2+2)^2 + (10 - 6)^2 = r^2
r^2= (10 - 6)^2
r^2=16
Percent increase=increase/original times 100
increase=26-21=5
original=21
so
5/21 times 100=0.23809523809523809523809523809524 times 100=23.809523809523809523809523809524
round
24%
so 24% increase
Answer:
2 1/3 cups of flour for every dozen muffins
Step-by-step explanation:
1 1/2 dozen muffins equals 3 1/2 cups of flour which is also the same as 7/2 cups of flour. I know that (3) 1/2 dozen equals 1 1/2 dozen so I divided 7/2 by 3 which is 1 1/6 to get how much flour for 1/2 dozen then multiplied it by 2 to get how much flour in a dozen = 2 2/6 which simplified is 2 1/3.
Is 3 cm the height of the triangle?