The answer to the problem is as follows:
x = sin(t/2)
<span>y = cos(t/2) </span>
<span>Square both equations and add to eliminate the parameter t: </span>
<span>x^2 + y^2 = sin^2(t/2) + cos^2(t/2) = 1 </span>
<span>The final step is translating the original parameter limits into limits on x and y. Over the -Pi to +Pi range of t, x varies from -1 to +1, whereas y varies from 0 to 1. Thus we have the semicircle in quadrants I and II: y >= 0.</span>
Answer:
4 cm
Step-by-step explanation:
The Area of a parallelogram is given by :
Area = base * height
Area = 120 cm² ; height = 30
Area = base * height
120 = base * 30
Base = 120 / 30
Base of parallelogram = 4 cm
Answer:
x =4
Step-by-step explanation:
x/y = 1/2
(x + 2) / (y + 1) = 2/3
Cross multiply the first equation
2x = y
Put that value for y into the second equation.
(x + 2) / (2x + 1) = 2/3 Cross multiply
3(x + 2) = 2(2x + 1) Remove the brackets.
3x + 6 = 4x + 2 Subtract 3x from both sides
6 = 4x - 3x + 2
6 = x + 2 Subtract 2 from both sides
6-2 = x
x = 4
The mass of the solution is 190 g - 120 g = 70 g. Thus, it's density is 70 g / 50 mL = 1.4 g/mL.
