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3 years ago

Two rectangles are similar. The length and width of the first rectangle are 12

Mathematics

1 answer:

Masja [62]3 years ago

4 0

Answer:

scale factor = 1.2

Step-by-step explanation:

To determine the scale factor, calculate the ratio of the length of the second rectangle to the length of the first rectangle. The corresponding ratio of widths should also equal the same ratio.

scale factor = $\frac{14.4}{12}$ = $\frac{6}{5}$ = 1.2

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Choose the equivalent system of linear equations that will produce the same solution as the one given below.

dmitriy555 [2]

C: 3x + 2y = 6
7x =12

Tell me if this helps, Have a great day!

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3 years ago

64 POINTS AWARDED, PLEASE ANSWER ASAP!!!!!

antoniya [11.8K]

Answer:

Area of rectangle = 40 square units

Step-by-step explanation:

Points to remember

Distance formula

Length of a line segment with end points (x₁, y₁) and (x₂, y₂) is given by,

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Area of rectangle = Length * Breadth

To find the length and breadth

Here a rectangle with vertices at (7, 3), (12, 3), (12, 11), and (7, 11)

Length1 = √[(x₂ - x₁)² + (y₂ - y₁)²]

√[(12 - 7)² + (3 - 3)²] = √5² = 5

Length2 = √[(x₂ - x₁)² + (y₂ - y₁)²]

√[(12 - 12)² + (11 - 3)²] = √8² = 8 units

Therefore Length of rectangle = 8 and

Breadth of rectangle = 5 units

To find the area of rectangle

Area = Length * Breadth

= 8 * 5 = 40 square units

8 0

3 years ago

Read 2 more answers

A slope of −3, passing through the point (15,−50).

Sauron [17]

Answer:

you would first put a point at (15, -50) then go down 3 places then go down 1 place,

Step-by-step explanation: when a slop is just a number, always put a 1 under it

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3 years ago

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4 less than the number product of a number and 8 is 44 .what it the number

Anettt [7]

Set up the problem like this: x - 4 + 8 = 44

x-4+8=44 (8-4)

x+4=44

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x=40

Answer: the number is 40.

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3 years ago

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A hotel offers a reward program based on the number of night stayed. The function f(x) represents the number of free nights earn

iris [78.8K]

Answer:

a. A customer earns 1 free night per 10 nights stayed.

Step-by-step explanation:

The missing function is:

f(x) = x/10

The missing options are:

a. A customer earns 1 free night per 10 nights stayed.

b. A customer starts with 1 free night and then earns another free night after every 10 nights stayed.

c.A customer earns x – 10 free nights for every 10 nights stayed.

d. A customer earns 10 free nights after x number of nights stayed.

The function means that after a customer stayed 10 nights, a free night is earned. That is, replacing x = 10 into the function, we get:

f(10) = 10/10 = 1

which means 10 nights are equivalent to 1 free night.

7 0

2 years ago