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Olegator [25]
3 years ago
5

How do I find the scale factor of a dilation?

Mathematics
1 answer:
kobusy [5.1K]3 years ago
7 0
You simply need to compute the ratio between the length of the segment
and the length of the corresponding segment
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Mike wants to fence in part of his backyard. He wants the length of the fenced-in area to be at least 20 feet long, l ≥ 20. He h
zhuklara [117]

I added a screenshot of the complete question along with the given choices.

<em><u>Answers:</u></em>

w = 10 ft and l = 50 ft ................> second option

w = 20 ft and l = 60 ft ...............> third option

w = 50 ft and l = 40 ft ...............> fifth option

<em><u>Explanation:</u></em>

<u>We are given that:</u>

length should be at least 20 ...........> length ≥ 20

equation for perimeter is : 2l + 2w ≤ 200

<u>We will check each option as follows:</u>

<u>Option 1:</u>

w = 50 ft and l = 10 ft

This option is incorrect as the proposed length is less than 20.

<u>Option 2:</u>

w = 10 ft and l = 50 ft

Since the length is greater than 20, the first condition is satisfied.

Now, we check the second condition:

2l + 2w = 2(50) + 2(10) = 100 + 20 = 120 ≤ 200

The second condition is also satisfied.

This option is correct

<u>Option 3:</u>

w = 20 ft and l = 60 ft

Since the length is greater than 20, the first condition is satisfied.

Now, we check the second condition:

2l + 2w = 2(60) + 2(20) = 120 + 40 = 160 ≤ 200

The second condition is also satisfied.

This option is correct

<u>Option 4:</u>

w = 90 ft and l = 30 ft

Since the length is greater than 20, the first condition is satisfied.

Now, we check the second condition:

2l + 2w = 2(30) + 2(90) = 60 + 180 = 240 > 200

The second condition is not satisfied.

This option is incorrect

<u>Option 5:</u>

w = 50 ft and l = 40 ft

Since the length is greater than 20, the first condition is satisfied.

Now, we check the second condition:

2l + 2w = 2(50) + 2(40) = 100 + 80 = 180 ≤ 200

The second condition is also satisfied.

This option is correct

Hope this helps :)

8 0
3 years ago
Read 2 more answers
What is 80%times360%
zvonat [6]

Answer:2.88

Step-by-step explanation:Because 80% is 0.8 and 360% is 3.6 and when u multiply them u get 2.88

8 0
3 years ago
Algebra Functions and Data Analysis
svetoff [14.1K]
Range should be (-∞ , 10]

answer is C. 


7 0
3 years ago
Can someone help me with this?
jekas [21]

Answer:

\huge\purple{ x^2 +(y+2)^2 = 4}

Step-by-step explanation:

Circle is centred at (0, -2)

-> h = 0 & k = - 2

radius of the circle (r) = y-coordinate of the center = - 2

Equation of circle in standard form is given as:

(x-h)^2 +(y-k)^2 = r^2

Plugging the values of h, k and r in the above equation, we find:

(x-0)^2 +[y-(-2)]^2 = (-2)^2

\implies\huge\orange{ x^2 +(y+2)^2 = 4}

This is the required equation of circle.

6 0
2 years ago
5n+4=39 find the value of n that makes this equation true
Bond [772]
5n + 4 = 39
5n = 39 -4
5n = 35
n = 35:5
n = 7
4 0
3 years ago
Read 2 more answers
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