Answer:
1) x = 5√(1-sin^2t)
2) y = = -2+3t
Step-by-step explanation:
1)
Given rectangular equation:
x^2/25 + y^2 =1
Parametric equations y=-sint and x=?
Find parametric equation for x
Substituting value of y =-sint in given rectangular equation, we get
x^2/25 + (-sint )^2 =1
x^2/25 + sin^2t =1
x^2 + 25sin^2t = 25
x^2 =25 - 25sin^2t
taking square root on both sides
x= √(25 - 25sin^2t)
= √25(1-sin^2t)
= 5√(1-sin^2t)
2)
Given rectangular equation:
y=-3x+4
Parametric equations x=2-t and y=?
Find parametric equation for y
Substituting value of x=2-t in given rectangular equation, we get
y= -3(2-t) +4
= -6+3t+4
= -2+3t !
Answer:
1808.64
Step-by-step explanation:
Area of a circle: Pi(r²)
3.14(24²)
1808.64
Answer:
x = 129.8 degrees, y = 50.2 degrees, x + y = 180
Step-by-step explanation:
Let's say you have 2 supplementary angles, x and y
So x + y = 180
if x is 79.8 degrees less than the measure of a supplementary angle, then x = y - 79.8
Putting this into our x + y = 180 equation, we get
(y - 79.8) + y = 180
2y - 79.8 = 180
2y = 180 + 79.8
2y = 259.8
y = 259.8/2 = 129.9 degrees.
so x = 129.9 - 79.6 = 50.3 degrees.
See if it worked. x = 129.9 degrees, y = 50.3 degrees, x + y = 180 so we found the correct two angles! :-)
Answer:
Alan: 80%
Ben: 62.5%
Step-by-step explanation:
5/8 = 0.625 x 100 = 62.5 = 62.5%
