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3 years ago

Napa and Newton are 24 miles apart. On a map, the two cities are 3 inches apart. What is the map scale?

Mathematics

1 answer:

Andreas93 [3]3 years ago

5 0

Answer:

one inch on the map is 8 miles

Step-by-step explanation:

divide 24 by 3

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Pls answer

cluponka [151]

Answer:

$8.49\ units$

Step-by-step explanation:

we know that

The Pythagorean Theorem states that in a right triangle

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

where

c is the greater side (the hypotenuse)

a and b are the legs

In this problem

Let

c=AB ---> distance from point A to point B

a ---> the difference of the x-coordinates both points

b ---> the difference of the y-coordinates both points

$a=1-(-5)=6\ units\\b=6-0=6\ units$

substitute

$AB^2=6^2+6^2$

$AB^2=72$

$AB=\sqrt{72}\ units$

$AB=8.49\ units$

6 0

3 years ago

Help me with this math work please

Aloiza [94]

Your photo is super blurry! I can’t read parts of the problems, so I can’t exactly help you. Sorry! Good luck.

7 0

2 years ago

Read 2 more answers

Solve x2 = 12x – 15 by completing the square. Which is the solution set of the equation? Solve x2 = 12x – 15 by completing the s

Svetlanka [38]

Answer: $6+\sqrt{21}\ \text{and}\ 6-\sqrt{21}$

Step-by-step explanation:

Given

Quadratic equation is

$x^2-12x+15=0$

Solving by completing the square method

$\Rightarrow x^2-2\cdot 6\cdot x+15=0\\\text{add and subtract 36}\\\Rightarrow x^2-2\cdot 6\cdot x+15+36-36=0\\\Rightarrow x^2-2\cdot 6\cdot x+36+(-36+15)=0\\\text{using}\ (a-b)^2=a^2+b^2-2ab\\\Rightarrow (x-6)^2-21=0\\\Rightarrow (x-6)^2=21\\\Rightarrow x-6=\pm \sqrt{21}\\\Rightarrow x=6\pm \sqrt{21}$