9514 1404 393
Answer:
trisect the median. The centroid is 1/3 its length from the side.
Step-by-step explanation:
The centroid divides each median into parts with a ratio of 2:1. If you trisect the median, the centroid will be 1 unit from the side and 2 units from the vertex.
We know that
[perimeter of rectangle]=2*[(x+6)+(x-4)]----> 2*[2x+2]----> 4x+4
[area of rectangle]=(x+6)*(x-4)--------> x²-4x+6x-24--------> x²+2x-24
the answer is the option <span>A
Perimeter = 4x + 4 and Area = (x + 6)(x - 4)</span>
22 feet. Using the sine rule theory: 20/sin(65)=x/sin(90). You know that it's 90 degrees because you assume the ground and the building make a 90 degree angle. So, you cross multiply and get 20sin(90)/xsin(65) and solve for x.
Answer:
Step-by-step explanation:
f(x) = x²-2
g(x) = 4x-2
f.g(x)= x²-2(4x-2) = x²(4x-2)-2(4x-2) = 4x³-2x²-8x+4
f.g(x) = 4x³-2x²-8x+4
Answer: The actual distance between Cincinnati and Columbus is 106 miles
Step-by-step explanation: The diagram in the question shows three cities at each point of the triangle and the distances are expressed in inches. In actual fact the real distance between one city and another is measured in miles. This means what we have in the diagram is simply a distance scaled down to a smaller unit. Simply put, we have to find the scale factor to determine the “Actual” distance.
However, we already have a clue. The distance between Dayton and Cincinnati is 48 miles, but has been scaled down by a factor which can be determined by
Scale factor = Actual Distance/scale measurement
Scale factor = 48/2.4
Scale factor = 20
What this means is that the scale measurement multiplied by 20 gives us the actual distance (and the actual distance divided by the scale measurement gives us the scale factor).
Therefore to calculate the distance between Cincinnati and Columbus,
Scale measurement x 20 = actual distance
5.3 x 20 = actual distance
106 = actual distance
The distance between Cincinnati and Columbus is 106 miles.
