Answer:
The value found is.
sin θ = 0.6
Step-by-step explanation:
We know that the value of cosθ is given -4/5
cosθ = -4/5
First, lets finds the angle θ by taking inverse of cosine of -4/5
θ = cos⁻¹ (-4/5)
θ = 143.13°
Substitute the found θ = 143.13° it in tanθ to see if satisfies the equation tanθ < 0:
tanθ < 0
tan(143.13°) < 0
-0.75 < 0
Hence the equation is satisfied.
Which means that θ is equals to 143.13° and can be used to find sinθ
sinθ = sin 143.13°
sin 143.13° = 0.6
If 3 cups is 20% of the whole mixture, then you multiply both numbers by 5 to find the total amount of juice. 3•5=15 cups of juice
Given
MINING A mine produces 42.5 tons of coal per hour.
Find out the how much coal will the mine produce in 9.5 hours.
To proof
As given in the question
A mine produces 42.5 tons of coal per hour i.e in the 1 hour mine produces the 42.5 tons .
Let us assume that the coal produce in the 9.5 hours be x.
than the equation becomes
x = 9.5 × 42.5
x = 403 . 75 tons
403 . 75 tons coal will the mine produces in the 9.5 hours.
Hence proved
