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gayaneshka [121]
3 years ago
12

I'm thinking of a three digit number it is an odd multiple of threes and the product of its digits 24. It is larger than 15^2. W

hat are all the numbers I could be thinking of
Mathematics
1 answer:
ipn [44]3 years ago
3 0

Answer:

243, 381, 423, 813, 831

Step-by-step explanation:

The product of its digits is 24, so we have opptions:

1,3,8 because 1*3*8=24

1,4,6 becaus 1*4*6=24

2,3,4 because 2*3*4=24

2,2,6 becaus 2*2*6=24

They can be divide by 3, so the sum of its digits can be divide by 3:

1+3+8=12 (It is OK)

1+4+6=11 (It is not ok)

2+3+4=9 (it is OK)

2+2+6=10 (it is not OK).

Now we have less opportunities, it is number of digits:

1,3,8 and 2,3,4.  In wich order we will se!:)

From the informations we know that three numbers are odd number and greater then 15*15=225

Therefore, for 1,3,8 it must be that  1 ro 3 is least digit (its odd number) that numbers are:

183, 813, 831, 381

greater then 225 are 381,831,813.

For digits 2,3,4 it must be that 3 is the least digit (number is odd) so we have:

243 and 423. Both are greater than 225.

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A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 5 ftys along
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25/3 ft/s is speed of the tip of his shadow moving when a man is 40 ft from the pole given that a street light is mounted at the top of a 15-ft-tall pole and the man is 6 ft tall who is walking away from the pole with a speed of 5 ft/s along a straight path. This can be obtained by considering this as a right angled triangle.

<h3>How fast is the tip of his shadow moving?</h3>

Let x be the length between man and the pole, y be the distance between the tip of the shadow and the pole.

Then y - x will be the length between the man and the tip of the shadow.

Since two triangles are similar, we can write

\frac{y-x}{y} =\frac{6}{15}

⇒15(y-x) = 6y

15 y - 15 x = 6y

9y = 15x

y = 15/9 x

y = 5/3 x

Differentiate both sides

dy/dt = 5/3 dx/dt

dy/dt is the speed of the tip of the shadow, dx/dt is the speed of the man.

Given that dx/dt = 5 ft/s

Thus dy/dt = (5/3)×5 ft/s

dy/dt = 25/3 ft/s

Hence 25/3 ft/s is speed of the tip of his shadow moving when a man is 40 ft from the pole given that a street light is mounted at the top of a 15-ft-tall pole and the man is 6 ft tall who is walking away from the pole with a speed of 5 ft/s along a straight path.

Learn more about similar triangles here:

brainly.com/question/8691470

#SPJ4

3 0
2 years ago
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