15. 29.95 x 36 = 1078.2, and to look appropriate $1,078.20
16. This one is just finding a equal fraction that's a simplifed version of this one. 24 / 32 = 3 / 4. I divided both sides by eight.
Answer and Step-by-step explanation:
Every group homomorphism ϕ:Zn→Zm extends in a unique way to a linear transformation T:Qn→Qm of vector spaces over Q.
Moreover, ϕ is injective iff T is injective. But T being injective implies n≤m.
Applying this to both ϕ and ϕ−1, we conclude that n≤m≤n.
NOTE:
The proof and step-by-step explanation is in the attachment below
Answer:
second option is the answer of your question
Answer:
x ≈ 33.1°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan x =
=
, then
x =
(
) ≈ 33.1° ( to the nearest tenth )
$3.45 is the cost of one gallon. So 3.45 times 12.51 gallons = 43.1595, rounded to $43.16