Convert 10/23 into a mixed number
2 answers:
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<u>Answer:</u>
<u>Step-by-step explanation:</u>
We are given that the measure of angle θ is 600° and we are to fin the point (x, y) corresponding to angle θ on the unit circle,
We know that the x,y coordinates in the unit circle are the cosine and sine ratios, respectively.
θ = 600
1 unit circle= 360°
It means that 600° corresponds to 600° - 360° = 240°.
So, θ = 360° + 240°
180° < 240° < 270° (this tells that the point is in the third quadrant and its coordinates are negative)
240° - 180° = 60° (using the supplementary angles to find the sin and cos)
Therefore, the x-coordinate is the cos of the given angle while y-coordinate is the sine of the given angle and the coordinates are:
Answer:
y = 10
Step-by-step explanation:
Given y varies jointly as x and z then the equation relating them is
y = kxz ← k is the constant of variation
To find k use the condition y = 20 when x = 4 and z = 3 , then
20 = k × 4 × 3 = 12k ( divide both sides by 12 )
= k , that is
k =
y = xz ← equation of variation
When x = 2 and z = 3 , then
y = × 2 × 3 = 5 × 2 = 10