Cos(A-B) = cosAcosB + sinAsinB
<span>
cos(</span>π/2 - θ) = cos(π/2)cosθ + sin(π/2)sinθ
π/2 = 90°
cos(π/2) = cos90° = 0. sin(π/2) = sin90° = 1
cos(π/2 - θ) = cos(π/2)cosθ + sin(π/2)sin<span>θ
</span>
= 0*cosθ + 1*sin<span>θ = </span>sin<span>θ
Therefore </span>cos(π/2 - θ) = sin<span>θ
QED </span>
30,000 - 19,500 = 10,500 gallons left to fill the pool. So I am assuming the answer would be w = 10,500 gallons... unless there was an equation missing in the question
Polynomial equation solverStandard form:s2 + 5s + 4 = 0Factorization:(s + 4)(s + 1) = 0Solutions based on factorization:<span><span>s + 4 = 0 ⇒ <span>s1</span> = −4</span><span>s + 1 = 0 ⇒ <span>s2</span> = −1</span></span>Extrema:Min = (−2.5, −2.25)<span><span>-4-2-4-22</span><span>x:-4y:0</span></span>
Domain of a set of ordered pairs
We know the domain is the set of all x when is represented by ordered pairs: (x, y)
In this case {(-8,-12),(4,-8), (2, -10),(-10.-16) } we can observe that there are four x (the first number of each pair):
Domain = { -8, 4, 2, -10}
<h2>Domain = {-10, -8, 2, 4}</h2>
Answer:
-20w+15s-5
Step-by-step explanation:
-5*4w= -20w
-5*-3s= 15s
-5*1= -5
