D(7, 3), E(8, 1), and F(4, -1)
We calculate the squared distances between the points:
Since we have a right triangle with hypotenuse DF.
Answer:
1
Step-by-step explanation:
One. For example, if we chose 5 as the number, then the multiplicative inverse would be 1/5. Multiplying 5 by 1/5 results in one (1).
Answer:
By the way that it is worded, I believe that you are only allowed to put 1 charm on the bracelet, so there are 9 ways to pick a charm.
Hope this helps(and also if you have a more refined wording please put it in the comments)!
Answer:
C. Paid $2.60 too much
Step-by-step explanation:
Gas 12 x 2.89 = 34.68
granola 2 x 1.59 = 3.18 x 1.075 = 3.4185
apple .89 x 1.075 = 0.95675
vitamin water 2 x 1.39 = 2.78 x 1.075 = 2.9885
34.68
3.4185
0.95675
+ 2.9885
---------------------
$42.04
$44.64
- $42.04
---------------------
$2.60
Answer:
10657.5
Step-by-step explanation:
<h2>
Long way that is unnecessarily long</h2>
We can start by finding the area of the larger triangle. Using the Pythagorean theorem, we can say that 251²-105²=the bottom side², and 251²-105²=51976, so the bottom side of the larger triangle is √51976 , or approximately 228. Then, the area of the larger triangle is √51976 * 105/2 = 11969 (approximately). Then, the area of the smallest triangle (the largest triangle - the one that we're trying to find the area of) is 105*(√51976-203)/2 = approximately 1312. Then, subtracting that from the total area, we get (√51976 * 105 - 105*(√51976-203))/2 = 105*203/2 = 10657.5
<h2>Short way</h2>
ALTERNATIVELY, upon further review, we can just see that the height is 105 and the base is 203, so we multiply those two and divide by 2, as is the formula for the area of a triangle, to get 10657.5