2,14 4,16 6,18 8,20 f=s+12
(1)Identify the surface whose equation is r = 2cosθ by converting first to rectangular coordinates...(2)Identify the surface whose equation is r = 3sinθ by converting first to rectangular coordinates...(3)Find an equation of the plane that passes through the point (6, 0, −2) and contains the line x−4/−2 = y−3/5 = z−7/4...(4)Find an equation of the plane that passes through the point (−1,2,3) and contains the line x+1/2 = y+2/3 = z-3/-1...(5)Find a) the scalar projection of a onto b b) the vector projection of a onto b given = 〈2, −1,3〉 and = 〈1,2,2〉...(6)Find a) the scalar projection of a onto b b) the vector projection of a onto b given = 〈2,1,4〉 and = 〈3,0,1〉...(7)Find symmetric equations for the line of intersection of the planes x + 2 y + 3z = 1 and x − y + z = 1...(8)Find symmetric equations for the line of intersection of the planes x + y + z = 1 and x + 2y + 2z = 1...(9)Write inequalities to describe the region consisting of all points between, but not on, the spheres of radius 3 and 5 centered at the origin....(10)Write inequalities to describe the solid upper hemisphere of the sphere of radius 2 centered at the origin....(11)Find the distance between the point (4,1, −2) and the line x = 1 +t , y = 3 2−t , z = 4 3−t...(12)Find the distance between the point (0,1,3) and the line x = 2t , y = 6 2−t , z = 3 + t...(13)Find a vector equation for the line through the point (0,14, −10) and parallel to the line x=−1+2t, y=6-3t, z=3+9t<span>...</span>
Answer:
132ft
Step-by-step explanation:
Mathius Distance = 3/8 mile
Eva Distance = 2/5 mile
1 mile = 5,280ft
1. Start by multiplying the mile distance of Mathius to the distance of 1 mile in feet.
5,280ft x 3/8 = 15840ft/8 = 1980ft
2. Do the same thing as number 1 but for Eva's distance now.
5,280ft x 2/5 = 10560ft/5 = 2112ft
3. Subtract Eva's Distance from Mathius' Distance for the answer.
2112ft (Eva) - 1980ft (Mathius) = <em>132ft</em>
Answer:
HEY
Step-by-step explanation:
The ratio of the circumference of the circle to the perimeter of the square is 
<em><u>Explanation</u></em>
Area of the square = 9 inch²
If the side length of the square is
, then

So the side length of the square is 3 inch.
Now as the square is inscribed in a circle, so the diagonal of the square will be diameter of the circle.
Length of the diagonal of square =
inch
So, the diameter of the circle
inch
If the radius of the circle is
, then

Circumference of the circle,
inch
and Perimeter of the square,
inch
So, the ratio will be: 