Nora does her daily yoga routine outside, if the weather is warm enough. From her usual spot, she knows that when she looks up to the door of her tree house the angle of elevation is 76 degrees. The tree house door lies
10.5 feet above the ground.
Her brother Kenny is up in the attic. The attic is about 29.7 feet above the ground. How far away is Nora from
the door of her house? HINT: Use the angle you found in #10.
angle for #10= 56.3

To find the extreme values of a function f(x. y) on a curve x-x(t), y y(t), treat f as a function of the single variable t and use the chain rule to find where df/dt is zero. in any other single-variable case, the extreme values of f are then found among the values at the critical points (points where df/dt is zero or fails to exist), and endpoints of the parameter domain. find the absolute maximum and minimum values of the following function on the given curves. use the parametric equations x=2cos t, y 2 sin t functions: curves: i) the semicircle x4,y20 i) the quarter circle x2+y-4, x20, y20 b, g(x, y)=xy

Abby is preparing fruit punch for her party. she starts with a bowl filled with liquid that has 1/2 fruit juice and 1/2 sprite, but she decides it's too fruity. so she pours out 1/4 of the liquid, and then fills the bowl up again with sprite. what fraction of the punch is now sprite?

Which statement describes surface features called maria on the moon