Reynaldo rode his bike 2 miles north and 3 miles east. which equation should he ise to find the distance, d, that takes him directly back home

√13

Step-by-step explanation:

Given :Reynaldo rode his bike 2 miles north and 3 miles east.

To Find :Which equation should he use to find the distance, d, that takes him directly back home

Solution:

Refer the attached figure.

Reynaldo rode his bike 2 miles north i.e. AB = 2 miles

Then he rode 3 miles east i.e. BC=3 miles

now to find the distance, d, that takes him directly back home i.e.AC

To find AC we use Pythagorean theorem:

hence this is the required equation .

Thus the distance, d, that takes him directly back home i.e.AC=√13

2

step-by-step explanation:

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the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950