The slope of a line is (change in y)/(change in x), so we can plug it in to here to get (11/5-6)/(3/16-1/10). It doesn't matter which y value you subtract from, but just make sure that the number you subtract from in both the numerator and denominator is from the same point!
If we know your Pythagorean Triples we can immediately recognize that the last choice is a right triangle:
8² + 15² = 17²
If you don't know your Pythagorean Triples, it's worth learning the first few off the list because teachers use them in problems all the time. But for now let's just exhaustively check the Pythagorean Theorem for each triangle. We don't have to multiply everything out; we can analyze the common factors. If two have a common factor that the third one doesn't have, there's no way for the Pythagorean Theorem to add up.
Clearly 5²+15² is a multiple of 5 but 18² isn't so that one isn't a right triangle.
6²+12² is a multiple of 6, 16² isn't a multiple of 6, not an RT.
15²-5² is a multiple of 5, 13² isn't, no joy.
8²+15² = 64 + 225 = 289 = 17² -- that's a real right triangle, a valid Pythagorean Triple.
45 + 8 you need to multiply that 5 of the 6
Answer: $23.40
Step-by-step explanation:
We will find what percent of the normal cost the items are currently.
100% - 28% = 72%
Now, we will find 72% of $32.50
72% -> 0.72
$32. 0 * 0.72 = $23.40
The discounted cost is $23.40.
Answer:
2 feet by 1.25 feet
Step-by-step explanation:
The arcade floor has dimensions 120 ft by 75 ft.
The scale of the drawing on grid paper is 1 in : 5 feet. This is a reduced scale. This means that the size of the arcade floor was reduced in the drawing.
Let us simply the ratio 1 in : 5 feet.
1 foot = 12 inches
=> 5 feet = 5 * 12 = 60 inches
The ratio can be rewritten as 1 in : 60 in = 1 : 60.
Hence, multiply the individual dimensions of the arcade floor by .
120 feet will be:
120 * = 2 feet
75 feet will be:
75 * = 1.25 feet
Therefore, the dimensions of the scale drawing are 2 feet by 1.25 feet.