3 years ago

Which rate gives the lower price, $4.89 per kilogram or 4.89 per pound? Justify your answer.

Mathematics

1 answer:

jeka57 [31]3 years ago

8 0

Answer:4.89 kilogram

Step-by-step explanation:

Kilograms weigh less than ponds

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A school, hospital, and a supermarket are located at the vertices of a right triangle formed by three highways. The school and h

Elan Coil [88]

Answer:

7.1 miles

Step-by-step explanation:

Consider right triangle HospitalSchoolSupermarket. In this triangle:

HospitalSchool = 14.7 mi;
HospitalSupermaket = 11.76 mi;
School Supermarket = 8.82 mi.

The shortest road from the main entrance of the supermarket to the highway that connects the school and hospital will be the height drawn from the point Supermarket to the hypotenuse HospitalSchool.

Let the length of this road be x mi and the distance from School to point A be y mi. Use twice the Pythagorean theorem for right triangles Supermarket SchoolA and SupermarketHospitalA:

$\left\{\begin{array}{l}x^2+y^2=8.82^2\\ \\x^2+(14.7-y)^2=11.76^2\end{array}\right.$

Subtract from the second equation the first one:

$x^2+(14.7-y)^2-x^2-y^2=11.76^2-8.82^2\\ \\14.7^2-2\cdot 14.7y+y^2-y^2=11.76^2-8.82^2\\ \\-29.4y=11.76^2-8.82^2-14.7^2\\ \\29.4y=155.5848\\ \\y\approx5.24\ mi$