Answer:
17
Step-by-step explanation:
I'm not really sure what ur saying, 8+9 is 17
Answer:
11. x=18, y=5
12. x=17, y=9
Step-by-step explanation:
Use the angle property https://www.proprofs.com/quiz-school/story.php?title=angle-properties-parallel-lines (REFER TO THIS LINK)
Answer:
The answer is below
Step-by-step explanation:
Find the dimensions of the rectangle of maximum area with sides parallel to the coordinate axes that can be inscribed in the ellipse 4x² + 16y² = 16
Solution:
Given that the ellipse has the equation: 4x² + 16y² = 16
let us make x the subject of the formula, hence:
4x² + 16y² = 16
4x² = 16 - 16y²
Dividing through by 4:
x² = (16 - 16y²)/4
x² = 4 - 4y²
Taking square root of both sides:
The points of the rectangle vertices is at (x,y), (-x,y), (x,-y), (-x,-y). Hence the rectangle has length and width of 2x and 2y.
The area of a rectangle inscribed inside an ellipse is given by:
Area (A) = 4xy
A = 4xy
Therefore the length = 2x = 2√2, the width = 2y = 2/√2
Sum of three times x and 10:
3x + 10 = y
The two domes or hemispheres simply have the area of a complete sphere with the same diameter. So the total area is the area of a sphere and a cylinder...
as=(4p3^3)/3, ac=10p3^2
A= 36p+90p=126p in^3