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
Answer:
The output of the function y = -6x + 8 when the input is x = 20 is -112.
Step-by-step explanation:
y = -6x + 8
Input the value x = 20.
y = -6(20) + 8
Multiply -6 and 20.
y = -120 + 8
Add -120 and 8.
y = -112.
Answer:
B
Step-by-step explanation:
The SA of a cone is A=pi*r^2+pi*r*s
So instead of pi*5^2, it should be pi*3*5 (5 is the length of the slant).
Answer:
72°
Step-by-step explanation:
Given that the radius(r) of the circle is 10 units and the length of arc ABC is 16π
The length of arc ABC = 
Where θ is the central angle in degrees.
Since the length of arc ABC is 16π,
The angle in a circle = 360°, therefore:
Central angle for arc AB (θ) = 360 - Central angle for arc ABC = 360 - 288 = 72°
Therefore the arc measure of arc AB is 72°
Answer: 39
Step-by-step explanation:
2x+17-17=95-17 so 2x=78 if you divide both sides by two you will find x=39
