Original Ratio of 1 in = 7 ft so 3 in = 21 ft
Now, New ratio 1 in = x ft so 3 in = 27ft
1/x = 3/27
cross multiply a/b = c/d ad = bc
1/x = 3/27
3x = 27
x = 9
1 in represents 9 ft
Answer:
The Answer is B) Hope it helps!
Step-by-step explanation:
Please consider the attached graph.
We have been given that a helicopter flies 8 km due north from A to B. It then flies 5 km from B to C and returns to A as shown in the figure. The measure of angle ABC is 150°. We are asked to find the area of triangle ABC.
We will use trigonometric area formula to solve our given problem.
, where angle b is angle between sides a and c.
For our given triangle
and measure of angle b is 150 degrees.



Therefore, the area of the triangle ABC is 10 square kilo-meters and option 'c' is the correct choice.
ANSWER:
C. Place the compass on point A. Open the compass to a point between point P and point B.
EXPLANATION:
A perpendicular is a line that would be at a right angle to line BA.
The next step is to chose a radius that is greater than PB or PA so as to construct the bisector. And this can be done by placing the compass on point A, and open the compass to a point between point P and point B.
Use this radius to draw an arc above and below the line, and repeat the same using B as the center with the same radius. This would form two intersecting arcs above and below line BA. Join the point of intersection of the arcs by a straight line through P. This is the bisector of line BA through point P.

The surface of interest can be parameterized by

with

and

.
The area of the surface

is given by the surface integral

We have

so the area is given by the double integral