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Veseljchak [2.6K]

3 years ago

5

On a map, Melbourne, Australia, is 22 centimeters from Sydney, Australia. The actual distance is 880 kilometers. If Canberra, Au

stralia, is 286 kilometers from Sydney, how far apart will they appear on the map, to the nearest centimeter? 3 centimeters 7 centimeters 13 centimeters 68 centimeters

2 answers:

marysya [2.9K]3 years ago

8 0

7 centimeters because you have to find how many kilometers are in each kilometer and that is 40 so then you divide 286 by 49 which is 7.15 then you round

IgorLugansk [536]3 years ago

7 0

Answer: 7 cm

Step-by-step explanation:

In the Map,

The distance of Australia from Sydney = 22 cm,

But, the actual distance of Australia from Sydney = 880 km,

Thus, In the map the scale is,

880 km = 22 cm

$\implies 1\text{ km}=\frac{22}{880}= \frac{1}{40}\text{ cm}$

$\implies 286\text{ km}= 286\times \frac{1}{40}=\frac{286}{40}=7.15\text{ cm}\approx 7 \text{ cm}$

Since, the actual Canberra from Sydney in the map = 286 km

Thus, the distance of Canberra from Sydney in the map = 7 cm (approx)

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If JKLM is a rhombus, MK = 30, NL = 13, and mZMKL = 41°, find each measure.

oksian1 [2.3K]

Answer:

$NK = 15$

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Step-by-step explanation:

Given

$MK = 30$

$NL = 13$

$\angle MKL = 41$

Solving (a): NK

MK is a diagonal and NK is half of the diagonal. So:

$NK = \frac{1}{2} * MK$

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Solving (b): JL

JL is a diagonal, and it is twice of NL.

$JL = 2 * NL$

$JL = 2 * 13$

$JL = 26$

Solving (c): KL

To solve for KL, we consider triangle KNL where:

$\angle KNL = 90$

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$KL^2 = NL^2 + NK^2$

$KL^2 = 13^2 + 15^2$

$KL^2 = 394$

$KL = \sqrt{394$

$KL = 19.85$

Solving (d - h):

To do this, we consider triangle JKN

$\angle KNL = \angle LNM = \angle MNJ = \angle JNK = 90$ -- diagonals bisect one another at right angle

Alternate interior angles are equal. So:

$\angle MKL = \angle KMJ = \angle KJL = \angle JLM = 41$

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$\angle MKJ = \angle KML = \angle MJL = \angle JLK = 90 - 41$

$\angle MKJ = \angle KML = \angle MJL = \angle JLK = 49$

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$\angle JKM =49$

$\angle JML =41$

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I added a screenshot with the complete question

<u><em>Answer:</em></u>
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<u>Substitute with the givens to get the distance she covered while running:</u>
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