Answer:
Step-by-step explanation:
<u>Required expression:</u>
<u>Options:</u>
- A. 8/x + 1, correct
- B. 8x + 1, incorrect
- C. 8 - x + 1, incorrect
- D. 8 / (x - 1), incorrect
Answer:
0.861
Step-by-step explanation:
Set theory is the mathematical theory of well-determined collections, called sets, of objects that are called members, or elements, of the set. ... The axioms of set theory imply the existence of a set-theoretic universe so rich that all mathematical objects can be construed as sets
For example, if A = {1, 2, 3} and B = {1, 2, 3, 4, 5} then A Í B (Í means is a subset of). If A = {1, 2, 4, 8}, then n(A) = 4. This is because n(A) means the number of members in set A. The universal set is the set of all sets.
I think the answer would be 4/9
Answer:
For Triangle 1
a. Hypothenus = 4
b. Adjacent = 2√3
For Triangle 2:
a. Hypothenus = 2√2
b. Adjacent = 2
Step-by-step explanation:
For Triangle 1
NOTE: We shall be using angle 30°.
a. Determination of the Hypothenus.
Opposite = 2
Angle (θ) = 30°
Hypothenus =?
Sine θ = Opposite /Hypothenus
Sine 30 = 2 / Hypo
0.5 = 2 / Hypo
Cross multiply
0.5 × Hypo = 2
Divide both side by 0.5
Hypo = 2 / 0.5
Hypothenus = 4
b. Determination of the Adjacent
NOTE: We shall be using angle 30°.
Opposite = 2
Angle (θ) = 30°
Adjacent =?
Tan θ = Opposite / Adjacent
Tan 30 = 2 / Adj
1 / √3 = 2 / Adj
Cross multiply
1 × Adj = 2 × √3
Adjacent = 2√3
For Triangle 2:
a. Determination of the Hypothenus.
Opposite = 2
Angle (θ) = 45°
Hypothenus =?
Sine θ = Opposite /Hypothenus
Sine 45 = 2 / Hypo
1 / √2 = 2 / Hypo
Cross multiply
1 × Hypo = 2 × √2
Hypothenus = 2√2
b. Determination of the Adjacent
Opposite = 2
Angle (θ) = 45°
Adjacent =?
Tan θ = Opposite / Adjacent
Tan 45 = 2 / Adj
1 = 2 / Adj
Cross multiply
1 × Adj = 2
Adjacent = 2
