From the diagram, all three angles are 90° (Diagonals of a Rhombus)
Angle 1 = 9x = 90
⇒ 9x = 90
x = 90/9
x = 10
Angle 2 = y + x = 90
⇒ y + x = 90
since x = 10,
y + 10 = 90
y = 90 - 10
y = 80
Angle 3 = 15 z = 90
⇒ 15z = 90
z = 90/15
z = 6
Answer is Option C
<span>C. x = 10, y = 80, z = 6</span>
Answer:
38
Step-by-step explanation:
Answer:
Cos θ = √7/3
Step-by-step explanation:
From the question given above, the following data were obtained:
Sine θ = √2 / 3
Cos θ =?
Recall
Sine θ = Opposite / Hypothenus
Sine θ = √2 / 3
Thus,
Opposite = √2
Hypothenus = 3
Next, we shall determine the Adjacent. This can be obtained as follow:
Opposite = √2
Hypothenus = 3
Adjacent =?
Hypo² = Adj² + Opp²
3² = Adj² + (√2)²
9 = Adj² + 2
Collect like terms
9 – 2 = Adj²
7 = Adj²
Take the square root of both side
Adjacent = √7
Finally, we shall determine the value Cos θ. This can be obtained as follow:
Adjacent = √7
Hypothenus = 3
Cos θ =?
Cos θ = Adjacent / Hypothenus
Cos θ = √7/3
20 + 5 + 2 + 3 + 1 minus 1 =30
Use the rule is/of, %/100
