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cluponka [151]
3 years ago
14

On a map. 3 inches represents 50 miles. Which proportion can be used to find the actual distance represented by 5

Mathematics
2 answers:
Ludmilka [50]3 years ago
7 0

Answer:

B

Step-by-step explanation:

3/50 = 5/X

suter [353]3 years ago
3 0

Answer: x=\frac{50 mi}{3 in} 5 in

Step-by-step explanation:

We are told 3 inches represents 50 miles in a map:

3 in=50 mi

And we need to find how many miles are represented by 5 inches. So, we can write the following relation and find the unknown value x:

\frac{50 mi}{3 in}=\frac{x mi}{5 in}

x=\frac{50 mi}{3 in} 5 in

Finally:

x=83.33 mi

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The given two planes 2x + 4y + 3z = 5 and x + 8y + 10z = 3 are perpendicular to each other.

According to the given question.

We have two planes

2x - 4y + 3z = 5

and,

x + 8y + 10z = 3

Since, two planes are perpenicular if

a_{1} a_{2} + b_{1} b_{2} + c_{1} c_{2} = 0

Where a_{1}, b_{1} and c_{1} and a_{2}, b_{2} and c_{2} are the direction ratios of planes.

And the two planes are parallel to each other if

\frac{a_{1} }{a_{2} } =\frac{b_{1} }{b_{2} } = \frac{c_{1} }{c_{2} }

Here, the direction ratios of plane 2x + 4y + 3z = 5 are 2, -4, and 3  and the direction ratios of plane x + 8y + 10z = 3 are 1, 8, and 10

Now,

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= 2 - 32 + 30

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Since, the sum of the product of the direction ratios of  the two palnes is 0. Therefore, the given two planes 2x + 4y + 3z = 5 and x + 8y + 10z = 3 are perpendicular to each other.

Find out more information about perpendicular and parallel planes here:

brainly.com/question/19580509

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