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ss7ja [257]
3 years ago
12

A man drove 14 mi directly east from his home, made a left turn at an intersection, and then traveled 5 mi north to his place of

work. If a road was made directly from his home to his place of work, what would its distance be to the nearest tenth of a mile?
Mathematics
1 answer:
Stels [109]3 years ago
4 0

Answer:

14.9 miles

Step-by-step explanation:

If the road was created, the 3 different roads would form a right triangle where the new road would be the hypotenuse and the other 2 roads would be the legs.

We can use the pythagorean theorem to find the length of the hypotenuse, or the new road:

a² + b² = c²

14² + 5² = c²

221 = c²

14.9 = c

= 14.9 miles

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This isn’t hard, but I’ll help you. I won’t give the answer though. Simply do 61,061.83 divided by 12. That answer of that, divide that by two and you should have your answer
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PQR is a right-angled triangle. PQ = 16 cm. PR = 8 cm. Calculate the length of
vlada-n [284]
SOLUTION:

PQR is a right-angle triangle.

Therefore, to solve this problem, we will use Pythagoras theorem which is only applicable to right-angle triangles.

Pythagoras theorem is as displayed below:

a^2 + b^2 = c^2

Where c = hypotenuse of right-angle triangle

Where a and b = other two sides of right-angle triangle

Now we will simply substitute the values from the problem into Pythagoras theorem in order to obtain the length of QR.

c = PQ = 16cm

a = PR = 8cm

b = QR = ?

a^2 + b^2 = c^2

( 8 )^2 + b^2 = ( 16 )^2

64 + b^2 = 256

b^2 = 256 - 64

b^2 = 192

b = square root of ( 192 )

b = 13.8564...

b = 13.86 ( to 2 decimal places )

FINAL ANSWER:

Therefore, the length of QR is 13.86 centimetres to 2 decimal places.

Hope this helps! :)
Have a lovely day! <3
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