Answer:
7.81*10^11
Step-by-step explanation:
1.86*10^5=186,000
186,000*4,200,000=7.81*10^11
Answer:
After 6 days Martha biked 330 miles, while Enrico biked 290 miles.
Step-by-step explanation:
i. Martha bikes 55 miles per day.
So that after 6 days, Martha would have covered;
55 miles x 6 = 330 miles
After 6 days, Martha would have biked 330 miles.
ii. Enrico bikes 145 miles every 3 days.
Then after 6 days, Enrico would have covered;
x 145 miles
= 2 x 145 miles
= 290 miles
After 6 days, Enrico would have biked 290 miles.
After 6 days Martha biked 330 miles, while Enrico biked 290 miles.
Since the areas are the same (5 x 6 = 30 units), and the height of the triangle (DC) is 5 so the length of the triangle must be 12. (1/2 of 5 x 12 is also 30)
So now we use the Pythagorean theorem
a² + b² = c² we have 5² + 12² = c² or 25 + 144 = c² or 169 = c²
The square root of 169 is 13 so side DE is 13 units.
216 yards.
Hope this helped!
Answer:
I can use variables to represent the coordinates of the vertices for a general triangle, ∆ABC. Then I can calculate the midpoints of the sides in terms of those variables. Using the point-slope formula for the equation of a straight line, I can build the symbolic equations for the three medians, AE, BF, and CD. I can solve for the point of intersection for two of the medians, AE and BF, for example. Finally, I can prove the lines (i.e., medians) concurrent if the point I found also satisfies the equation of the line for CD.
