Mathematics, 26.09.2019 15:20 mia3128

At 2: 45 p. m., a jet is located 56 mi due east of a city. a second jet is located 30 mi due north of the city. to the nearest tenth of a mile, what is the distance between the two jets?

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Answer from: marygomez11

Hello!

The answer is:

The distance between the two jets is 63.5 mi.

Why?

From the statement we know that the first jet is located 56 mi due to the east city while the second jet is located 30 mi due to the north, so, we can calculate the distance between the two jets using the Pythagorean Theorem.

The Pythagorean Theorem states that:

$c^{2}=a^{2} +b^{2}$

So,

$Distance=\sqrt{(Jet_{1}Location)^{2}+(Jet_{2}Location)^{2}}\\\\Distance=\sqrt{(56mi)^{2}+(30mi)^{2}}=\sqrt{3136mi^{2}+900mi^{2}} \\\\Distance=\sqrt{3136mi^{2}+900mi^{2}}=\sqrt{4036mi^{2}}=63.5mi$

Hence, the distance between the two jets is 63.5 mi.

Have a nice day!

Answer from: Quest

dude thats to long figure it

step-by-step explanation:

Answer from: Quest

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

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