Answer:
47×3+c
Step-by-step explanation:
141+c
Parameterize the surface (call it
) by
with
and
, which yields
Then the area of
is given by the surface integral
Answer:
28.9
Step-by-step explanation:
Using cosine, we get the equation cos(21)=x/31. Solving cos(21), we get about 0.933. Then we multiply by 31 to get about 28.9.
Answer:
The small gear would be spinning at 7.5MPH
Answer:
Height is 135 ft
Step-by-step explanation:
Notice that wire, pole, and ground form a right angle triangle, for which we name h = height of the pole one of the legs (the horizontal leg) is h - 51. The wire (which is the hypotenuse of the right angle triangle is: h + 24.
Then we can use the Pythagorean theorem to solve for the height (h):
h^2 + (h - 51)^2 = (h + 24)^2
h^2 + h^2 -102 h + 2601 = h^2 + 48 h + 576
grouping all terms on the left of the equal sign, we get:
h^2 -150 h + 2025 = 0
This gives two possible answers:
h = 135
and
h = 15
We opt for h = 135, because the other solution will render a negative leg for the triangle.
