(100+3-4(4-5))/(6+5+5+5+300)
=(100+3-16+20)/(321)
=(107)/(321)
=1/3
Hope it helps : )
For each of these problems, remember SOH-CAH-TOA.
Sine = opposite/hypotenuse
Cosine = adjacent/hypotenuse
Tangent = opposite/adjacent
5) Here we are looking for the cosine of the 30 degree angle. Cosine uses the adjacent side to the angle over the hypotenuse. Therefore, cos(30) = 43/50.
6) We have an unknown side length, of which is adjacent to 22 degrees, and the length of the hypotenuse. Since we know the adjacent side and the hypotenuse, we should use Cosine. Therefore, our equation to find the missing side length is cos(22) = x / 15.
7) When finding an angle, we always use the inverse of the trigonometry function we originally used. Therefore, if sin(A) = 12/15, then the inverse of that would be sin^-1 (12/15) = A.
8) We are again using an inverse trigonometry function here. We know the hypotenuse, as well as the side adjacent to the angle. Therefore, we should use the inverse cosine function. Using the inverse cosine function gives us cos^-1 (9/13) = 46 degrees.
Hope this helps!
Answer:
$1632
Step-by-step explanation:
Hourly pay for Diego = $10.20
Weekly hours = 40 Hours
Basic earning = 10.20 × 40 = $408
Overtime pay = 15 × Hourly rate = 15 × 10.20 = $153
Total overtime = 8 hours
Overtime earning = 153 × 8 = 1224
Total earning for the week = 408 + 1224 = $1632
we have
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Combine like terms
Divide by 
both sides
therefore
<u>the answer is</u>
the value of p in the linear equation is 
