3 years ago

Help!

Mathematics

1 answer:

emmasim [6.3K]3 years ago

4 0

Answer:

The greatest common factor of 42, 60 and 78 is 6.

Step-by-step explanation:

The given numbers are : 42, 60 and 78

On Prime Factorization of the given terms, we get:

42 = 2 x 3 x 7

60 = 2 x 2 x 3 x 5

78 = 2 x 3 x 13

The common factors to all these three terms is 2 x 3 = 6

Hence, the greatest common factor of 42, 60 and 78 is 6.

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Answer:

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4 years ago

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3 years ago

Read 2 more answers

A 26 ft long ramp is used to reach 10 ft up a wall. The ramp covers a horizontal distance of 24 ft. To make the ramp less steep,

Anika [276]

Answer:

The length of new ramp is 49.03 ft.

Step-by-step explanation:

It is given that 26 ft long ramp is used to reach 10 ft up a wall. The ramp covers a horizontal distance of 24 ft.

If the horizontal distance is doubled, then the horizontal distance is 48 ft. The height remains same. Therefore the height of ram is 10 ft.

Use pythagoras in new right angle triangle.

$hypotenuse^2=base^2+perpendicular^2$

$(AE)^2=(AD)^2+(ED)^2$

$(AE)^2=(48)^2+(10)^2$

$(AE)^2=2304+100$

$AE=\sqrt{2404}$

$AE=49.0306027\approx 49.03$

Therefore the length of new ramp is 49.03 ft.

7 0

3 years ago