A designer plans to create a new pattern of stitching a triangular piece of fabric shown in the figure above. She will stitch fa
bric in a straight line from the vertices of the triangle to the circumcenter of the triangle, located at point C, and then stitch an additional line of fabric back from the circumcenter to each vertex. How much fabric, in inches, will she need in total to create the design? (Note: Answer should be a whole number.)
The circumcenter is the middle to each vertex. So since they gave you 9 in. and you have to go back and forth on each line, that is 18 in. per line. Considering there are three lines, add all of them together (Or multiple 18 by 3) to get 54 in.
The swing of the tip of pendulum is creating an arc. The question is actually asking for the length of this arc. The length of an arc is given by , where is the radius of the circle and is the angle of the arc.
The whale is at a depth 120 feet below the sea level.
Step-by-step explanation:
A grey whale is cruising at a depth of 233 feet below sea level. The depth below the sea level has the negative position, thus the initial position of the whale is -233.
It rises 73 feet, the position of the whale becomes 73 feet higher. This means we should add 73.
Then it comes up another 40 feet, so we need to add 40.
Mathematically,
The whale is at a depth 120 feet below the sea level.