Brian says that ABCD is a right triangle. Is he correct? (Round your answer to the nearest whole number) Explain. 17 m
21.7 m
С
D 13.5 m

21.7²=17²+13.5²

21.7²=289+182.25

21.7²=471.25

21.7=√471.25

21.7=21.7

22(to the nearest whole number)

 Yes, it is a right triangle

But only if you rounded everything to the nearest whole number.

Otherwise, it's a bit off (but fairly close).

Explanation:

If that was a right triangle, then a^2+b^2 = c^2 would be the case (pythagorean theorem). The a,b,c refers to the sides of the triangle. The 'c' is always the longest side, where 'a' and 'b' can be in any order you want.

We have

Which leads to

a^2+b^2 = c^2

(13.5)^2+(17)^2 = (21.7)^2

182.25 + 289 = 470.89

471.25 = 470.89

We don't get the same thing on both sides, so we don't have a right triangle.

However, your teacher mentions to round the results to the nearest whole number. The 471.25 on the left side becomes 471, while the 470.89 becomes 471.

So while the equation 471.25 = 470.89 is definitely false, both sides are close enough that they round to 471 = 471 which is true.

In other words, this isn't a right triangle but it's close enough to one. Based on this rounding criteria, Brian is correct.

$36.25

Step-by-step explanation:

We have been given that Winston works 40 hours a week as a pharmacist. He made $75,400 last year.

Let us find the the number of hours worked by Winston last year by multiplying 40 by 52 (Number of weeks in one year).

Now, we will divide $75,400 by 2080 to find amount at which he is paid per hour.

Therefore, Winston is paid $36.25 per hour.