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Dvinal [7]
3 years ago
11

Figure a is dilated by a scale factor of 1/2 to form figure b. What is the length of x?

Mathematics
2 answers:
Evgesh-ka [11]3 years ago
5 0

Answer:

Step-by-step explanation:

The correct option is 3. The value of x is 8 inches.

PIT_PIT [208]3 years ago
3 0

Answer:

The correct option is 3. The value of x is 8 inches.

Step-by-step explanation:

It is given that Figure A is dilated by a scale factor of 1/2 to form Figure B. It means both figure are similar and corresponding sides of similar figures are proportional.

\text{scale factor}=\frac{\text{Side of image}}{\text{Side of preimage}}

\frac{1}{2}=\frac{x}{16}

Multiply both sides by 16.

\frac{16}{2}=x

8=x

Since scale factor is 1/2, so we can directly say that the side length of image is half of the corresponding side of preimage.

The length of x is 8 inches. Therefore the correct option is 3.

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scale = 1 inches = 3 feet

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<h2>x=36</h2>

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8 0
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Find BC. Round your answer to the nearest tenth. Show your work.
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Step-by-step explanation:

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4 0
2 years ago
HELPPPPPPPPPPP! PLEASE ILL GIVE 20 POINTS AND BRAINLIEST!
meriva

Explanation:

The perimeter of the track is the two circumferences of the semicircles (when combined, they form one circle, so we can just find the circumference of the circle) added to the lengths of the rectangle (

160

meters).

To find the circumference of the circle, we need to know the diameter.

Circumference of a circle:

d

π

or

2

r

π

, where

d

represents diameter and

r

represents radius

The diameter of the circle happens to be the same as the width of the rectangle. We know that the area of a rectangle is found by multiplying its length by its width. We know that the area is

14400

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160

.

Width: area divided by length

14400

160

=

90

The diameter of the circle and the width of the rectangle is

90

meters.

Circumference:

90

⋅

π

=

90

π

→

If you are using an approximation such as 3.14 for

π

, multiply that by 90

Add

160

⋅

2

to the circumference since the lengths of the rectangle are also part of the perimeter.

160

⋅

2

=

320

90

π

+

320

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