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Dafna1 [17]
2 years ago
5

A map has the scale 1 : 200,000 and the distance between two villages on the map is 8 cm. What is the distance in metres between

the towns in real life?
Mathematics
1 answer:
Dmitrij [34]2 years ago
5 0

The distance in metres between the towns in real life is 1600000 meters

<h3>How to determine the distance in real life?</h3>

The scale ratio is given as:

Scale = 1 cm : 200000 m

The map distance of 8cm implies that:

8 cm : Real = 1 cm: 200000 m

Express as fraction

Real/8 = 200000 m/1

Multiply both sides by 8

Real = 1600000 m

Hence, the distance in metres between the towns in real life is 1600000 meters

Read more about scale ratios at:

brainly.com/question/12416132

#SPJ1

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➷ Opposite angles in a cyclic quadrilateral total to 180 degrees

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Step-by-step explanation:

8 0
3 years ago
Y = (x)^(1/9)*Find f(x) when x=(1/2)Round your answer to the nearest thousandth.
Verizon [17]

We are given a function f ( x ) defined as follows:

y=f(x)=x^{\frac{1}{9}}

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\times\text{ = }\frac{1}{2}

In such cases, we plug in/substitue the given value of x into the expressed function f ( x ) as follows:

y\text{ = f ( }\frac{1}{2}\text{ ) = (}\frac{1}{2})^{\frac{1}{9}}

We will apply the power on both numerator and denominator as follows:

f(\frac{1}{2})=\frac{1^{\frac{1}{9}}}{2^{\frac{1}{9}}}\text{ = }\frac{1}{2^{\frac{1}{9}}}

Now we evaluate ( 2 ) raised to the power of ( 1 / 9 ).

f\text{ ( }\frac{1}{2}\text{ ) = }\frac{1}{1.08005}

Next apply the division operation as follows:

f\text{ ( }\frac{1}{2})\text{ = }0.92587

Once, we have evaluated the answer in decimal form ( 5 decimal places ). We will round off the answer to nearest thousandths.

Rounding off to nearest thousandth means we consider the thousandth decimal place ( 3rd ). Then we have the choice of either truncating the decimal places ( 4th and onwards ). The truncation only occurs when (4th decimal place) is < 5.

However, since the (4th decimal place) = 8 > 5. Then we add ( 1 ) to the 3rd decimal place and truncate the rest of the decimal places i.e ( 4th and onwards ).

The answer to f ( 1 / 2 ) to the nearest thousandth would be:

\textcolor{#FF7968}{f}\text{\textcolor{#FF7968}{ ( }}\textcolor{#FF7968}{\frac{1}{2})}\text{\textcolor{#FF7968}{ = 0.926}}

6 0
1 year ago
Cousin Hector drove 1,851 miles to the reunion. He lives in Mexico and drove 747 miles through that country to the United States
Sonja [21]

Answer:

1104 miles

Step-by-step explanation:

Say he lives in a place in Mexico which is at a distance of <em>a </em>miles from the Mexico-America border point and the reunion is at <em>b </em>miles from the same border point, in America.

So the total distance travelled is ( a + b ) miles

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Given , a=747 and a+b=1851

that implies:

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So, b = 1104 miles.

Therefore he has travelled 1104 miles in America,

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svetoff [14.1K]

Answer: 40

Step-by-step explanation:

8 0
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