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Answer:
(a) x^2/16 +y^2/9 = 1
Step-by-step explanation:
The form for the equation of an ellipse centered at the origin is ...
(x/(semi-x-axis))^2 +(y/(semi-y-axis))^2 = 1
The vertex values tell you the semi-x-axis is 4 units, and the semi-y-axis is 3 units. Then you have ...
(x/4)^2 +(y/3)^2 = 1
x^2/16 +y^2/9 = 1
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In case you don't remember that form, you can try any of the points in the equations. The equation that works will quickly become apparent.
<span>x/900(pi) = 135/360
x = [900pi][135/360] = 337.5(pi) sq ft (area that receives water)
Hope this helps!
~{Oh Mrs.Believer}</span>
Area of square base:
13 x 13 = 169
Area of triangular sides:
B x H/2
13 x 16/2 = 104
104 x 4 = because there are 4 triangular sides of the figure = 416
416 + 169 = 585in^2
590in^2
Answer: B = 56 degrees
Step-by-step explanation: Complementary angles add up 90 degrees. So we will set both of the equations equal to 90 degrees and then solve from there.
6x+8+5x+21=90
1. Simplify 5x + 6x and 21 - 8
11x+13=90
2. Subtract 13 from both sides.
11x=90-13
3. Simplify 90-13 to 77.
11x=77
4. Divide both sides by 11.
x = 77/11
5. Simplify 77/11 to 7
x=7
Now we have to take the value of x and substitute it back into B = (5x+21)
1. Substitute
B = (5(7)+21)
B = 35 +21
B = 56
<u><em>HOPE THIS HELPS :)</em></u>
