Answer:
f x y z 4y cos (< x >) y x sin z z xy k s is the hemisphere x2 y2 z2 25 z ≥ 0 oriented upward
use stokes theorem to evaluate f dr
s is the hemisphere x 2 y 2 z 2 16
consists of the top and the four sides but not the bottom of the cube with vertices oriented outward
stokes theorem triangle with vertices
f xyz x y 2 i y z 2 j z x 2 k where k is the triangle with vertices
∫ f ∙ dr c when f x y z 2xi 3zj xk and c is the triangle with vertices 0 0 0 1 1 1 and 0 0 2
s is the part of the paraboloid z 1 − x2 − y2 that lies above the xy plane oriented upward
Answer:
2:3 unless it wants it in total, then 220:330
Step-by-step explanation:
it gives you the answer with the fraction. A ratio is basically saying with x:y for every x number of one thing there are y number of another. In this case we know 2/5 will be green, so how many will be red? 3/5. So for every 2 greens there are 3 reds.
Another way of looking at it is for the totals. there are 550 total, so 2/5 of that is green. 2/5 of 550 is 220, while 3/5 is 330 so that means of the 550, the ratio is 220:330. Kinda like simplifying fractions where 220/550 is the same thing as 2/5
Answer:
21 cm
Step-by-step explanation:
Call the triangle ABC, with the right angle at B, the hypotenuse AC=25, and the given leg AB=10. The altitude to the hypotenuse can be BD. Since the "other leg" is BC, we believe the question is asking for the length of DC.
The right triangles formed by the altitude are all similar to the original. That means ...
AD/AB = AB/AC . . . . . . ratio of short side to hypotenuse is a constant
Multiplying by AB and substituting the given numbers, we get ...
AD = AB²/AC = 10²/25
AD = 4
Then the segment DC is ...
DC = AC -AD = 25 -4
DC = 21 . . . . . centimeters
Answer:
cos z = 35 / 37
Step-by-step explanation:
cos z is the ratio of the adjacent side of a triangle (the side adjacent to angle z to the hypotenuse:
cos z = (adj. side) / (hypotenuse)
Here we have cos z = 35 / 37
Answer:
The answer is 51.36 so just add 48 plus 7%
Step-by-step explanation:
