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3 years ago

Tricia made a circular mat from a square piece of cloth as shown in the diagram below.

Mathematics

1 answer:

kap26 [50]3 years ago

8 0

The option C) 49 inches is the circumference of the circular mat.

Step-by-step explanation:

Tricia made a circular mat from a square piece of cloth.
The measure of the side length of the square = 14 inches.
The length of the side is same as the diameter of the circle.
Therefore, the diameter of the circular mat = 14 inches.

To find radius :

Radius = diameter / 2

⇒ 14/2

⇒ 7 inches.

To find the circumference of the circular mat :

Circumference = 2πr

where,

π has the default value of 3.14

r is the radius of the circular mat.

⇒ 2 × 3.14 × 7

⇒ 44 inches.

∴ The circumference of the circular mat is 44 inches.

Since, it is not given in the option. The option C) 49 inches which is close to 44 inches is the right option.

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Question:

aivan3 [116]

Answer:

part A) The scale factor of the sides (small to large) is 1/2

part B) Te ratio of the areas (small to large) is 1/4

part C) see the explanation

Step-by-step explanation:

Part A) Determine the scale factor of the sides (small to large).

we know that

The dilation is a non rigid transformation that produce similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional

Let

z ----> the scale factor

$\frac{CB}{C'B'}=\frac{CD}{C'D'}=\frac{BD}{B'D'}$

The scale factor is equal to

$z=\frac{CB}{C'B'}$

substitute

$z=\frac{4}{8}$

simplify

$z=\frac{1}{2}$

Part B) What is the ratio of the areas (small to large)?

Area of the small triangle

$A=\frac{1}{2}(2)(4)=4\ units^2$

Area of the large triangle

$A=\frac{1}{2}(4)(8)=16\ units^2$

ratio of the areas (small to large)

$ratio=\frac{4}{16}=\frac{1}{4}$

Part C) Write a generalization about the ratio of the sides and the ratio of the areas of similar figures

In similar figures the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In similar figures the ratio of its areas is equal to the scale factor squared

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3 years ago

Simplify the expression (-3x^-4)^2

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3 years ago

Answer the question above.

Shtirlitz [24]

Please upload the question and i will work it out, have a lovely day!

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3 years ago

I will give brainliest away if you solve this for me please.

Elis [28]

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y = -1/3x + 1

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Graph of the equations will be shown below. Note that the solution of graphing two equations will be where both equations intersect. Both lines intersect at (-3, 2), hence making that the solution.

Best of Luck!

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2 years ago

Read 2 more answers

What is answer to this question

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Angle ADC is an inscribed angle of arc AC. So the measure of arc AC would be 46. Angle CBA is a central angle, which means it is equal to the measure of arc AC. So the answer is 46. Hope this helps!

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