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lubasha [3.4K]
3 years ago
10

What is the scale factor of the dilation?

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
7 0

Answer:

divide by 2

Step-by-step explanation:

to go to 12 to 6 , you will have to divide by 2

12/2 = 6

12 and 6 are on the same side in both triangles , that is why I used those two numbers to figure out the scale factor

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Carla is collecting rainwater in a barrel. Currently she has 18 inches of water in the barrel. The rain is falling at the rate o
olga_2 [115]

Answer: it will take 9 hours.

Step-by-step explanation:

The rain is falling at the rate of 1.5 inches per hour. This means that the height of water in the barrel is increasing in arithmetic progression.

The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + d(n - 1)

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = 18 inches

d = 1.5 inches

The expression becomes

Tn = 18 + 1.5(n - 1)

For the number of hours it would take to collect 30 inches of rain in the barrel, Tn = 30

Therefore,

30 = 18 + 1.5(n - 1)

1.5(n - 1) = 30 - 18

1.5(n - 1) = 12

n - 1 = 12/1.5 = 8

n = 8 + 1

n = 9

6 0
3 years ago
A grid shows the positions of a subway stop and your house. The subway stop is located at (-1, 6) and your house is located at (
blondinia [14]
The square roost of 34 units
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3 years ago
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Alice is building a caterpillar habitat for some caterpillars she found in her back yard. She plans to cover all sides of the ha
Lana71 [14]

Answer:

SA = 3.04m²

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Problem of the Week
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2 years ago
A truck that is 12 ft. by 10 ft. by 15 ft. carries cube
kvasek [131]

Answer: 284 boxes in the shape of the cubes can be fitted in the truck.

Step-by-step explanation:

If a truck is fitted fully with the cubes, volume of the truck will be equal to the volume of cubes to be fitted.

Dimensions of the truck given in the question,

Length = 10 feet, width = 12 feet and height = 8 feet

Since, volume of a cuboid (shape of a truck) is given by the expression,

Volume = Length × Width × Height

Therefore, volume of the truck = 10 × 12 × 8

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Volume of a cube is given by the expression,

Volume = (side)³

Therefore, volume of the cube with side length 1.5 feet will be,

Volume of a cube = (1.5)³

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Therefore, volume of 'x' cubes = (3.375x) feet³

Since, volume of the truck = Volume of the cubes fitted

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x =  960/3.375

x = 284.44

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    Therefore, 284 boxes in the shape of the cubes can be fitted in the truck.

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1 year ago
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