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Natasha2012 [34]

2 years ago

5

A map has a scale of 1 cm : 20 km. Two cities are 2.5 cm apart on the map. To the nearest tenth of a kilometer, what is the actu

al distance correponding to the map distance? Label your solution.

1 answer:

Pachacha [2.7K]2 years ago

6 0

50 Km

1 cm → 20 Km

2.5 cm → 20 × 2.5 = 50 Km

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Answer:

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Step-by-step explanation:

<u><em>The correct question is</em></u>

A rectangle is drawn so the width is 7 inches longer than the height. If the rectangle’s diagonal measurement is 13 inches, Find the height

Let

x -----> the width of the rectangle in inches

y ----> the height of the rectangle in inches

d ---> diagonal measurement of the rectangle in inches

we know that

Applying the Pythagorean Theorem

$d^2=x^{2}+y^{2}$

we have

$d=13\ in$

so

$13^2=x^{2}+y^{2}$

$169=x^{2}+y^{2}$ ----> equation A

$x=y+7$ ---> equation B

substitute equation B in equation A

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solve for y

$169=y^2+14y+49+y^{2}$

$2y^2+14y+49-169=0$

$2y^2+14y-120=0$

solve the quadratic equation by graphing

using a graphing tool

The solution is y=5

see the attached figure

therefore

The height of rectangle is 5 inches

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