Answer:
15.43 ft
Step-by-step explanation:
To solve this question, one should use the concept of similar triangles.
The pole's shadow and the distance to the ground (x) form a similar triangle to the distance of the plumb bob from the base and the length of the plumb bob, respectively. Note that we do not need to know the measurements of the third side of the triangles to solve the problem. Therefore, the distance of the top of the pole to the ground is:
The distance of the top of the pole to the ground is 15.43 ft.
a. Parameterize 
by
with 
.
b/c. The line integral of 
over is
d. Notice that we can write the line integral as
By Green's theorem, the line integral is equivalent to
where 
is the triangle bounded by , and this integral is simply twice the area of . is a right triangle with legs 2 and 5, so its area is 5 and the integral's value is 10.
This is the concept of Area and volume of solid materials; Tommy soup can is likely to have a cylindrical shape. This means that the base of the cylinder will have a circular shape. If this is the case the volume of the can will be given by:
volume=[base area]*height
volume=πr^2h
where;
base area=πr^2
height=h
Answer:
Bruce's tile covers up more space.
Step-by-step explanation:
So as we know, Bruce covers up around 1/4 of square feet and to find felicia's function we have to used the data we already have. For example, x=6 tiles, y=1 sq ft and x=12 tiles, y=2 sq ft, then we set y=kx which then we can find the value of k, 1=6k, k=1/6 then y=1/6. We then test the function with x=12 and x=18, y=1/6 12=2 and y=1/6 18=3. When the function is complete, we see that Bruce's tiles cover up more space because 1/4>1/6.
