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worty [1.4K]
3 years ago
9

The distance from Clarion to DuBois is 2 1/2 inches on the map. the actual distance is 40 miles. The distance from DuBois to Rid

geway is 1 1/2 inches on the map. What is the actual distance, in miles, from DuBois to Ridgeway?
Mathematics
1 answer:
lisov135 [29]3 years ago
4 0
Hello!

You have to find how many miles is 1 inch on the map

We can do this by doing 40 / 2 1/2 = 16

16 miles is equal to one inch

So we multiply this by 1 1/2

16 * 1 1/2 = 24

The answer is 24 miles

Hope this helps!
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5/6=x-10/3x+6 solution?
Ivan

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{x =  - 10}}}}}

Step-by-step explanation:

\sf{ \frac{5}{6}  =  \frac{x - 10}{3x + 6} }

Apply cross product property

⇒\sf{5(3x + 6) = 6( x - 10)}

Distribute 5 through the parentheses

⇒\sf{15x + 30 = 6( x - 10)}

Distribute 6 through the parentheses

⇒\sf{15x + 30 = 6x - 60}

Move 6x to left hand side and change it's sign

⇒\sf{15x - 6x  + 30 =  - 60}

Collect like terms

⇒\sf{9x + 30 =  - 60}

Move 30 to right hand side and change it's sign

⇒\sf{9x =  - 60 - 30}

Calculate

⇒\sf{9x =  - 90}

Divide both sides of the equation by 9

⇒\sf{ \frac{9x}{9}  =   \frac{ - 90}{9} }

Calculate

⇒\sf{x =  - 10}

Hope I helped!

Best regards!!

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3 years ago
How high is the end of the ladder against the building? Round to the nearest tenth if necessary.
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H(ft) = √ (13² - 4²) = 12.4

It is a right-angled triangle and the Pythagorean theorem applies.

THEOREMA (by Pythagoras):
Given a right-angled triangle ABCABC as in the figure, then the relation is valida2 + b2 = c2a2 + b2 = c2where cc is the hypotenuse of the triangle and b, ab, a are the cathets.

h(ft) = √ (13² - 4²) = 12.4



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