Answer:
miles hybrid car went = 9.80 gal × 54.1 miles/gal
= 530.18 miles
132km × 0.621 = 81.972 miles
530.18 miles = 9.80 gal
1 mile = 9.80/530.18
= 0.018 gal
81.972 miles = 0.018 × 81.972
= 1.515 gal
1.515 gal × 3.785 = 5.734 litres
Answer:
Just the hypotenuse and the 2 legs
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.
8 cups lemon juice
8 cups vinegar
16 cups hot water
The denominator is the one on the bottom so 9 is the denominator the top is the numerator