The system of equations will be:
<h3>How to explain the euation?</h3>
The slope = (-2 - 3) / (1 - 2) = -5/-1 = 5
Uin y = mx + b
slope(m) = 5
(2,3)...x = 2 and y = 3
Now sub into the formula
3 = 5(2) + b
3 = 10 + b
3 - 10 = b
-7 = b
The equation is : y = 5x - 7 or 5x - y = 7
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Expand the target expression:
A sin(x + ϕ) = A (sin(x) cos(ϕ) + cos(x) sin(ϕ)) = -2 sin(x) + 4 cos(x)
Then we have
A cos(ϕ) = -2
A sin(ϕ) = 4
Recall that sin²(x) + cos²(x) = 1 for all x. Then
(A cos(ϕ))² + (A sin(ϕ))² = (-2)² + 4²
A² (cos²(ϕ) + sin²(ϕ)) = 4 + 16
A² = 20
A = √20 = 2√5
Also recall that tan(x) = sin(x)/cos(x) by definition. Then
(A sin(ϕ)) / (A cos(ϕ)) = 4 / (-2)
tan(ϕ) = -2
ϕ = arctan(-2) = -arctan(2)
No 7.1 is a positive number
For example, sinD = 7/25; cosD = 24/25; tgD = 7/24;
Answer:
The amount of salt required is 0.3685 grams.
Step-by-step explanation:
20.9% of 1 gram of salt is chlorine, which means the grams of chlorine in 1 gram of salt are
Now, to make 220 ppm solution, it must be that
where is the grams of chlorine required.
We rearrange the equation and solve for
since 1 gram of salt has 0.209 grams of chlorine, 0.07702g of chlorine corresponds to
Thus the amount of salt required is 0.3685 grams.