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3 years ago

Figure 1 is dilated to get Figure 2.

Mathematics

2 answers:

VMariaS [17]3 years ago

8 0

Answer:

2.25

Step-by-step explanation:

Anastasy [175]3 years ago

3 0

Answer: 2.25

Divide the corresponding values. You'll divide figure 2's length over figure 1's corresponding length. So 18/8 = 2.25

This means each side of figure 2 is 2.25 times larger than the corresponding side for figure 1

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kotegsom [21]

5, 7, 9, 11, 13 add 2

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4 years ago

What is the percent change of 36;63

STatiana [176]

First, find the difference.
63-36=27
Then, divide by the original number.
27/36=0.75
Then, put it in percentage form.
75%

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3 years ago

Find the slope from the graph and from the table to compare the speeds of two marathon runners.

seraphim [82]

B

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3 years ago

A group of students calculated their average score at a spelling bee. They realized that if one of them scored 9 more points, th

alukav5142 [94]

Answer: There are 4 students in the group.

Step-by-step explanation:

Let the number of students in the group be n

If one of them scored 9 more points , their average score would be 81 points.

So, our equation (1) will be

$\frac{\sum x+9}{n}=81\\\\\sum x+9=81n$

Similarly,

If one of them scored 3 points less, their average score would be 78 points.

So, our equation (2) will be

$\frac{\sum x-3}{n}=78\\\\\sum x-3=78n$

So, from equation (1) and (2) we get:

$81n-9=\sum x=78n+3\\\\81n-9=78n+3\\\\81n-78n=3+9\\\\3n=12\\\\n=\frac{12}{3}\\\\n=4$

Hence, there are 4 students in the group.

8 0

4 years ago

A rectangle has an area of 2020cm².

Nadya [2.5K]

Answer:

Length = 2020 units

Width = 1 unit

Step-by-step explanation:

We know that area of a rectangle = length x width

We also know that perimeter = (2 x Length) + (2 x Width)

the goal is to to find Length and Width such that:

Condition 1: Length x width = 2020

Condition 2: (2 x Length) + (2 x Width)= maximum possible

We are also given that both Length and Width are whole numbers, hence we can start by finding the factors of 2020 into prime factors

Factor 2020: 2 x 2 x 5 x 101

By observation, we can see that the following combinations of the factors make up the required area of 2020:

Case 1: (1) x (2)(2)(5)(101) = 1 x 2020 = 2020

Perimeter = 2(1 + 2020) = 4042

Case 2: (2) x (2)(5)(101) = 2 x 1010 = 2020

Perimeter = 2(2+ 1010) = 2024

Case 3: (2)(2) x (5)(101) = 4 x 505 = 2020

Perimeter = 2(4 + 505) = 1018

Case 4: (2)(2)(5) x (101) = 20 x 101 = 2020

Perimeter = 2(20 + 101) = 242

Case 5: (5) x (2)(2)(101) = 5 x 404 = 2020

Perimeter = 2(5 + 404) = 818

Case 6: (2)(5) x (2)(101) = 10 x 202 = 2020

Perimeter = 2(10 + 202) = 424

From the above, it is clear that case 1 yields the largest perimeter

4 0

4 years ago