Answer:
-1/3 - (-5/12) = 1/12.
Step-by-step explanation:
Simpler equation:
6/12 + (-5/12) = 1/12
Or This:
6/12 - 5/12 = 1/12.
hope this helped.
Answer:
8.24 grams/marble
Step-by-step explanation:
Average mass = (total mass)/(number of marbles)
Here, that would be:
824 g
------------------- = 8.24 grams/marble
100 marbles
Answer:
ΔABD ≅ ΔACD by SAS, therefore;
by CPCTC
Step-by-step explanation:
The two column proof is presented as follows;
Statement 
Reason
ABCD is a trapezoid Given
Given
Definition of a trapezoid
ABCD is an isosceles trapezoid Left and right leg are equal
∠BAD ≅ ∠CDA Base angle of an isosceles trapezoid are congruent
Reflexive property
ΔABD ≅ ΔACD By SAS rule of congruency
CPCTC
CPCTC; Congruent Parts of Congruent Triangles are Congruent
SAS; Side Angle Side rule of congruency
Answer:
6 cos Θ
Step-by-step explanation:
sin Θ cot Θ + 5 cos Θ =
= sin Θ × cos Θ / sin Θ + 5 cos Θ
= cos Θ + 5 cos Θ
= 6 cos Θ
Answer:
converge
Step-by-step explanation:
the reason is : the individual terms of the series get smaller and smaller towards 0, and therefore the sum converges to a certain limit.
why do I know that the individual terms get smaller and smaller ?
because the terms are ultimately (with n getting very large the constant factors added constants become irrelevant)
n / (n^(3/2))
as sqrt(n³) = n^(3/2)
and n^(3/2) progresses much faster and stronger than n (or n¹), as 3/2 is larger than 1.
so, the denominator (bottom) of that fraction grows stronger than the numerator (top), and the terms go therefore against 0 with larger and larger n.
