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larisa86 [58]
2 years ago
14

Micah is thinking of a 2-digit number. It is a multiple of 6 and 12. It is a factor of 108. The sum of its digits is 9. What num

ber is Micah thinking of?
Mathematics
1 answer:
Anna007 [38]2 years ago
3 0
So we need to find the common multiples of 6 and 12. Which are basically the multiples of 12, since 6 is always divisible to 12. So (12, 24, 36, 48, 60, 72, 84, 96, 108) Since it is a factor of 108, we stop at 108 (since a number greater than 108 can't be a factor of 108)

Now we find the factors of 108
108=<span>1,2,3,4,6,9,12,18,27,36,54,108

The numbers in both lists are 36 and 108 but since Micah is thinking of a 2-digit number, the number she is thinking of is 36.</span>
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krok68 [10]

Answer:

A. Total number of liters = 1.25 liters

B. Milk = 0.25 liters

Step-by-step explanation:

Let

x = total number of liters ( milk + water )

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= 0.2x

Water = 1 liter

Total number of liters = milk + water

x = 0.2x + 1

x - 0.2x = 1

0.8x = 1

Divide both sides by 0.8

x = 1 / 0.8

= 1.25

x = 1.25 liters

Total number of liters = 1.25 liters

B.

Liters of milk in the bottle = Total number of liters - liters of water

= 1.25 liters - 1 liter

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8 0
3 years ago
Is vertex and minimum value of parabola the same thing
gayaneshka [121]

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7 0
3 years ago
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3 years ago
a 15-foot telephone pole has a wire that extends from the top of the pole to the ground. The wire and the ground form a 42 degre
scoundrel [369]

Answer:

The length of the wire is 22.42 feet

The distance from the base of the pole to the spot where the wire touches the ground is 16.66 feet

Step-by-step explanation:

* Lets explain the situation in the problem

- The telephone pole , the wire and the ground formed a right triangle

- The wire is the hypotenuse of the triangle

- The height of the telephone pole and the distance from the base of

 the pole to the spot where the wire touches the ground are the legs

 of the triangle

- The angle between the wire and the ground is 42°

- The angle 42° is opposite to the height of the telephone pole

- The height of the telephone pole is 15 feet

* Lets use the trigonometry functions to find the length of the wire

 (hypotenuse) and the distance from the base of the pole to the spot

 where the wire touches the ground

∵ sin Ф = opposite/hypotenuse

∵ Ф = 42° and its opposite side = 15 feet

∴ sin 42 = 15/hypotenuse ⇒ by using cross multiplication

∴ sin 42° (hypotenuse) = 15 ⇒ divide both sides by sin 42

∴ hypotenuse = 15/sin 42° = 22.42 feet

∵ The length of the wire is the hypotenuse

∴ The length of the wire is 22.42 feet

∵ The distance from the base of the pole to the spot where the wire

   touches the ground is the adjacent side to the angle 42°

∵ tan Ф = opposite/adjacent

∴ tan 42° = 15/adjacent ⇒ by using cross multiplication

∴ tan 42° (adjacent) = 15 ⇒ divide both sides by sin 42

∴ adjacent = 15/tan 42° = 16.66 feet

∵ The adjacent side is the distance from the base of the pole to the

  spot where the wire touches the ground

∴ The distance from the base of the pole to the spot where the wire

   touches the ground is 16.66 feet

7 0
3 years ago
each year a tree grows 26 cm. after 4.5 years the tree is 292 cm. how tall was the tree when he moved into the house
jeka57 [31]
26×4=104
292-104=188
26÷2=13
188-13=175cm

the tree was 175cm when he moved in
7 0
3 years ago
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