1) Determine the unit rate of travel for each animal by dividing the distance traveled (y) by the

Mathematics

2 answers:

vesna_86 [32]3 years ago

8 0

Answer:

Answer: It will take the Dolphin 2 hours to swim 40 miles. The penguin will take 8 hours. The swordfish will take 2/3 of an hour, that is 40 minutes, to travel 40 miles.

Step-by-step explanation:

Natali5045456 [20]3 years ago

4 0

Answer: It will take the Dolphin 2 hours to swim 40 miles. The penguin will take 8 hours. The swordfish will take 2/3 of an hour, that is 40 minutes, to travel 40 miles.

Step-by-step explanation: Divide the given distance by the unit rate given:

40/20=2 hours

40/5=8 hours

40÷60= 2/3 hour

This is the reverse of the process described in the question.

If the dolphin takes 2 hours to swim 40 miles, what is its unit rate? x ÷ y = R 40 miles÷2 hours= 20 mph.

40 miles ÷ 2/3 hour

3/2 × 40 = 60 mph

I hope this helps.

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$\bigstar\:{\underline{\sf{In\:right\:angled\:triangle\:ABC\::}}}\\\\$

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$\bf{\dag}\:{\underline{\frak{By\:using\:Pythagoras\: Theorem,}}}\\\\$

$\star\:{\underline{\boxed{\frak{\purple{(Hypotenus)^2 = (Perpendicular)^2 + (Base)^2}}}}}\\\\\\ :\implies\sf (AB)^2 = (AC)^2 + (BC)^2\\\\\\ :\implies\sf (AB)^2 = (AB)^2 = (7)^2 = (4)^2\\\\\\ :\implies\sf (AB)^2 = 49 + 16\\\\\\ :\implies\sf (AB)^2 = 65\\\\\\ :\implies{\underline{\boxed{\pmb{\frak{AB = \sqrt{65}}}}}}\:\bigstar\\\\$