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3 years ago

How do you determine a scale factor for two similar figures? 15 points

Mathematics

2 answers:

maw [93]3 years ago

6 0

Answer:

The ratio of the scale factor

mr_godi [17]3 years ago

4 0

the scale factor or ratio of two similar figures, will be the same as the ratio of their perimeter, or even the ratio of two corresponding sides.

for example, we have say, an irregular octagon with a perimeter of say 13, and a similar octagon with a perimeter of 39, then

$\bf \cfrac{\textit{small octagon}}{\textit{large octagon}}~\hspace{5em}\cfrac{perimeter}{perimeter}\implies \cfrac{13}{39}\implies \stackrel{simplified}{\cfrac{1}{3}}~\hfill \stackrel{\textit{scale factor}}{1:3}$

which is another way to say, the smaller is 1/3 of the larger one, or the larger one is 3 times as the smaller one.

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In science class, Logan estimates the volume of a sample to be 42 mL. The actual volume of the sample is 48 mL. Find the percent

galina1969 [7]

Answer:

Percent of error of Logan's Estimate is 12.5%

Step-by-step explanation:

Given:

Actual Volume of sample =48 mL

Estimated Volume of sample = 42 mL

We need to find the percent errors of Logan estimate.

To calculate percent of error below are the steps.

Step 1: Subtract the Actual value from the estimated value.

Step 2: Take the absolute value of step 1

Step 3: Divide that answer by the Actual value.

Step 4: Multiply that answer by 100 and add the % symbol to express the answer as a percentage.

Now Substituting the values we get;

Step 1: To Subtract Actual Volume with Estimated Volume

Estimated Volume of sample - Actual Volume of sample = 42 - 48 = -6 mL

Step 2: Find Absolute value we get;

$|-6| = 6$

Step 3 : Divide that answer by the Actual volume.

$\frac{6}{48}=0.125$

Step 4: Multiply that answer by 100 and add the % symbol to express the answer as a percentage.

$0.125\times 100 = 12.5\%$

Hence Percent of error of Logan's Estimate is 12.5%

5 0

3 years ago

Jesus deposited $2000 into a new savings account that paid interest at an annual rate of 3% compounded continuously. If there we

Mila [183]

Answer: $2394.43

explanation: use equation A=Pe^rt. A=2000e^(0.03x6). A=2394.43

3 0

3 years ago

Rosie just moved to new york city and makes $2,700 per month at her new job. each month, she pays $2,000 for rent, $100 for the

oksian1 [2.3K]

Answer:

2700 - 2000 = 700 - 100 = 600 - 200 = 400 - 100 = 300

300 dollars

7 0

1 year ago

Read 2 more answers

In the university library elevator there is a sign indicating a 16-person limit as well as a weight limit of 2750 pounds. Suppos

Alona [7]

Answer:

0.039 = 3.9% probability that the random sample of 16 people in the elevator will exceed the weight limit

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .