Three business partners, Q,R, and S agree to divide their total profit for a certain year in the ratios 2:5:8, respectively. If
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Answer:
32°
Step-by-step explanation:
Given:
∠DMQ = 58º
In this circle, the radius is DM. Since AD is tangent to the circle M, at point D, and the angle between a tangent and a radius is 90°
Therefore, ∠MDQ = 90°
The total angle in a triangle is 180°. Since we have the values of ∠MDQ and ∠DMQ, ∠DQM will be calculated as:
180 = ∠DMQ + ∠MDQ + ∠DQM
Solving for ∠DQM, we have:
∠DQM = 180 - ∠DMQ - ∠MDQ
∠DQM = 180 - 90 - 58
∠DQM = 32°
The measure of ∠DQM is 32°
Given:
s is inversely proportional to t.
When s = 0.5, t = 7.
To find:
The value of s when t=0.8.
Solution:
s is inversely proportional to t.
...(i)
Where, k is the constant of proportionality.
Putting s=0.5 and t=7, we get
Putting k=3.5 in (i), we get
This is the equation of proportionality.
Putting t=0.8, we get
Therefore, the value of s is 4.375 when t=0.8.