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3 years ago

The first pentagon is dilated to form the second pentagon. Drag and drop the answer to correctly complete the statement.

2 answers:

4 0

If the bigger pentagon has side length of 5 units and the smaller pentagon has side length of 1 unit, you can know that the dilation was 1/5 = 0.2

This means that the sides of the big pentagon were multiplied by 0.2 to obtain the smaller pentagon.

Stella [2.4K]3 years ago

3 0

Answer:

0.2

Gotta Beileve In Yourself!

You might be interested in

90 km is 8% of what distance

sergejj [24]

1,125 km is the distance

4 0

3 years ago

A boat travels 12 Mph in still water. It can travel 18 miles upstream in the same time that it can travel 24 miles downstream. W

quester [9]

Answer:

The current of the water is 1.714 mph.

Step-by-step explanation:

Let the boat in t hours can travel 18 miles upstream, and 24 miles downstream.

Therefore, if the speed of the boat in still water is 12 mph and that of water is x mph , then we can write

$\frac{18}{t} = 12 - x$ ........ (1) and

$\frac{24}{t} = 12 + x$ ............ (2)

Now, adding those two equations (1) and (2) we get,

$\frac{18}{t} + \frac{24}{t} = 24$

⇒ t = 1.75 hours.

Now, from equation (1) we get

$\frac{18}{1.75} = 12 - x$

⇒ x = 1.714 mph

Therefore, the current of the water is 1.714 mph. (Answer)

4 0

3 years ago

Laura and Brent paddled a canoe 6 miles upstream in four hours. The return trip took 3 hours. What is the rate at which they pad

Harrizon [31]

P = paddling speed

C = speed of the current

Upstream: 6 = 4 (P - C. Downstream: 6 = 3 (P + C)

4P - 4C = 6

3P + 3C = 6

12P - 12C = 18

12P + 12C = 24

Add the equations:

24P = 42. P = 42/24 = 1.75 mph

Subtract the equations:

-24C = -6

C = 0.25 mph

5 0

3 years ago

Below are the jersey numbers of 11 players randomly selected from a football team. Find the range, variance, and standard deviat

german

Answer:

Range =94

σ² = 1,141.564

Standard Deviation = 33.78703

Step-by-step explanation:

First off to find the range, we find the highest value and subtract it to the lowest value. In this situation the values are:

Highest = 99

Lowest = 5

Range = 99 - 5

Range = 94

Now to find the variance of the sample data set, we first need to find for the mean of the data.

The mean of the data with be the sum of all the numbers in the data set divided by the number of samples.

5 + 14 + 26 + 50 + 60 +72 + 79 + 88 + 93 +94 + 99

That would equal 680

Then you divide the number of samples and that is 11 so the next equation is 680 divided by 11

So the then-

Mean = 61.81818

Now to find the variance we simply use the formula:

σ²= $\frac{(xi - Mean)^{2} }{n-1}$

σ²= $\frac{(5 - 61.818)^{2} + (14 - 61.818)^{2} + (26 - 61.818)^2 + (99 - 61.818)^2} {11-1}$

σ²= $\frac{11,415.64}{10}$

σ²= $1,141.564$

Now to find the standard deviation, we take the variance and get the square root of it.

Standard Deviation= $\sqrt{1,141.564}$

Standard Deviation= $33.78703$

HOPE THIS HELPS :)

6 0

2 years ago

Lin and Jada each walk at a steady rate from school to the library. Lin can walk 13 miles in 5 hours, and Jada can walk 25 miles

astra-53 [7]

Answer:

It will take Lin an hour and 25 minutes at her constant speed, and it will take Jada at her constant speed an hour and 30 minutes.

SO, Lin will arrive at 4:25

and Jada will arrive at 4:30

There is a 5 minute difference in time.

Step-by-step explanation:

From the facts given, Lin can walk 13 miles in 5 hours which when you divide means she can walk 2.6 mph (miles per hour), and Jada can walk 2.5 mph.

To get these answers you divide the current speeds into the total distance

For example, in Lin's case...

3.25 (The 3 and 1/4 mile converted to decimal form)

2.6 (Lin's Average speed per hour)

3.25/2.6=1.25

1.25 (1 hour and 25 minutes)

5 0

3 years ago