Answer:
yes
Step-by-step explanation:
The side lengths satisfy the Pythagorean theorem, so the triangle is a right triangle.
7.5² +10² = 12.5²
56.25 +100 = 156.25
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You may recognize that the ratios of side lengths are ...
7.5 : 10 : 12.5 = 3 : 4 : 5
A 3-4-5 triangle is a well-known right triangle, as this is the smallest set of integers that satisfy the Pythagorean theorem. They also happen to be consecutive integers, so form an arithmetic sequence. Any arithmetic sequence that satisfies the Pythagorean theorem will have these ratios.
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If you're familiar with trigonometry, you know the law of cosines tells you ...
c² = a² + b² - 2ab·cos(θ) . . . . where θ is the angle between sides a and b. This reduces to the Pythagorean theorem when θ=90°, which makes cos(θ)=0. If the sides do not satisfy the Pythagorean theorem, cos(θ)≠0 and the triangle is not a right triangle.
Answer:
a) 5355
b) 6372.45
Step-by-step explanation:
4500 * 1.19 = 5355
5355 * 1.19 = 6372.45
Answer:
7.35
Step-by-step explanation:
5 pounds -> 5.25
1 pound -> 1.05
7 pounds-> 7.35
Answer:
September 18 is the due date
Step-by-step explanation:
the rest of March = 19 days
April has 30
may has 31
june has 30
july has 31
and August has 31 also
...if we add all of those days it equals to 172 days....u need approximately 18 more days to make the 190 days (due date) ;take 18 days out of September ....making the due date the 18th of September
