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.
You do pemdas and the answer should be 27
Answer:
36.67 [mile/hour].
Step-by-step explanation:
1) use the formula: V=S/t, where S - entire jorney, v - average speed (required to calculate), t - elapsed entire time.
2) according to the formula above S=50+60=110 miles; t= 50/40 + 1.75=1.25+1.75=3 hours.
3) after the substitutuion 110 and 3 into the formula above:
v=110/3≈36.67 miles/h.
Answer:
H. $26
Step-by-step explanation:
$6.50 x 4 = 26. The cost is exact.
