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mestny [16]
2 years ago
7

A person has to walk 100 m to go from position X in the north of east direction to the position B and then to the west of Y to r

each finally at position Z. The position Z is situated at the north of X and at a distance of 60 m from X. Find the distance between X and Y.

Mathematics
1 answer:
aleksandrvk [35]2 years ago
6 0

Answer:

The distance between X and Y is 68m

Step-by-step explanation:

Consider the diagram attached:

A person starts from X, goes to Y, and then finally goes to Z, covering a total of 100m, where Z is located 60m in north of X.

We have to find distance XY.

Let the distance XY be x

Total distance covered by the person = XY + YZ

We know that total distance covered is 100m, so

100m = x + YZ

YZ = (100 - x)m

See the diagram, XZY forms a right angled triangle such that:

Hypotenuse = XY = x

Base = XZ = 60m

Perpendicular = YZ = (100-x)m

Using Pythagoras theorem

Hypotenuse² = Base² + Perpendicular²

x² = (60)² + (100-x)²

Solve the equation for x, we get:

x = 68m

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1 year ago
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Neptune’s average distance from the sun is 4.503 x 10e9 km. Mercury’s average distance from the sun is 5.791 x10e9 km.about how
Igoryamba

Answer:

77.76 times

Step-by-step explanation:

The average distance of Neptune  from the sun

= 4.503  ×  10 ⁹  k m .

and Mercury  =  5.791  ×  10 ⁷ k m .

Hence neptune is (  4.503  ×  10 ⁹) ÷ (5.791 × 10 ⁷  ) times farther from the sun than mercury

i.e.(  \frac{4.503}{5.791} )  × 10⁹⁻⁷ times

=   0.7776  ×  10 ² times

=   77.76  times.

4 0
1 year ago
A town has a population of 14,000 and grows 5% every year. What will be the population after 14 years, to the nearest whole numb
hammer [34]

Answer:

23,800 people

Step-by-step explanation:

what is 5 % of 14,000- 700( 0.05 times 14,000)

700 times 14 is 9,800

9800 + 14000 is

0 0
2 years ago
Decrease £16870 by 3% , give your answer rounded 2 decimal places
lidiya [134]
To decrease it by 3% we need to fine 97% of it and 97% is the same as 0.97

16870 times 0.97=16363.9

16870 decreased by 3% is 16363.9

I hope I've helped!
5 0
1 year ago
The total square footage of wall space to be painted is 575 square ft. If a gallon of paint covers 250 square feet, how many qua
mars1129 [50]

5.75 quarts of paint required for the project

Explanation:

Usually one quart of paint cover 100 square feet

Since, a gallon covers 250 square feet, it means that

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Number of gallon required to paint 575 square feet,

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So, 2.3 gallons is equal to,

                                                =2.3*2.5\\=5.75 quarts

Learn more:

brainly.com/question/18882920

5 0
1 year ago
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