Which of the following expressions is equal to sin(-150°)?
1 answer:
Check the picture below.
let's notice that the angle -150° has a reference angle of 30°, so any trigonometric function for either angle will be the same value, however, let's recall that the sine or y-coordinate is negative on the III Quadrant, so sin(-150°) is the same as sin(30°) BUT negative, -sin(30°).
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Answer:
Number of days taken by 1 man alone and 1 boy alone are 35 days and 70 days respectively.
Step-by-step explanation:
Let, the work completed by 1 man in 1 day = x and the work completed by 1 boy in 1 day = y.
So, 4 men and 6 boy's 1 day work is and
And, 3 men and 4 boy's 1 day work is and
Since, 4 men and 6 boys complete the work in 5 days and 3 men and 4 boys complete the work in 7 days.
So, we have,
Let, and
So, the equations are,
................(1)
................(2)
Multiply (1) by 3 and (2) by 4 and subtract the equations, we get,
i.e.
i.e.
i.e. y = 70.
Substitute value of 'v' in (1) gives,
i.e.
i.e.
i.e.
i.e.
i.e.
i.e. x = 35
So, the number of days taken by 1 men alone and 1 boy alone are 35 days and 70 days respectively.
Answer:
30
1.301
Step-by-step explanation
f(x) and g(x) are inverse functions. Note that the logrithmic notation for
So, when x = 1.477, f(x) = y = 30
and when x = 20, g(x) = y = 1.301