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3 years ago

Which case allows for more than one triangle with the given measures to be constructed?

1 answer:

7 0

<span>A.three sides measuring 9 meters, 5 meters, and 5 meters

--> only one isosceles triangle

B.three sides measuring 6 inches, 3 inches and 9 inches

--> none triangle may be formed because 9 = 3 + 6 and there is a rule (the triangle inequality theorem) that states the length of any side must be less than the sum of the lengths of other two sides.

C.three angles measuring 25°, 25°, and 130°

--> 25 + 25 + 130 = 180 => you can construct many triangles with these angles

D.three angles measuring 55°, 25°, and 125°

--> 55 + 25 + 125 = 205 > 180 => you cannot construct any triangle with theses measures.
</span>

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21. Mickey earned $475 from mowing lawns last summer. He deposited this money in an

Dennis_Churaev [7]

Answer:

first, u need to know the formula for compound interest, which is:

$A = P(1 + \frac{r}{100})^{n}$

where A is the final amount

P- initial amount

r- percent compounded(interest)

and

n- number of years

we have

$A = 475(1 + \frac{3.8}{100})^{4}$

3.8/100 = 0.038

1+0.038 =1.038

1.038^4 = 1.160885573136

475 * 1.160885573136 = 551.4206472396‬

approximately $551.42

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3 years ago

What is the dimension of a circle with the area being 64 pie inches

Vaselesa [24]

Answer:

There are no dimensions of a circle. I don't think that is possible.

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2 years ago

Julia drove 135 miles in 4.5 hours. Find her average rate in miles per hour

BlackZzzverrR [31]

30, you can devide 135 by 4.5

6 0

3 years ago

Weight of a rock: In a geology course, students are learning to use a balance scale to accurately weigh rocks. One student plans

statuscvo [17]

Answer:

The student who weighted the rock 5 times has a 95% confidence interval of (25.2, 29.1) which is guaranteed to be more wider (less precise) than the other student who weighted the rock 20 times.

Step-by-step explanation:

What is Confidence Interval?

The confidence interval represents an interval that we can guarantee that the target variable will be within this interval for a given confidence level.

The confidence interval is given by

$CI = \bar{x} + t_{\alpha/2}(\frac{\sigma}{\sqrt{n} } ) \\$

Where $\bar{x}$ is the mean weight $\sigma$ is the standard deviation $t_{\alpha/2}$ is the critical value from t-table and n is the sample size.

The term $t_{\alpha/2}(\frac{\sigma}{\sqrt{n} } )$ is known as margin of error.

As the sample size is decreased the corresponding margin of error increases which results in wider confidence interval which means smaller precision.

The student who weighted the rock 5 times has a 95% confidence interval of (25.2, 29.1) which is guaranteed to be more wider (less precise) than the other student who weighted the rock 20 times.

We can say with 95% confidence that the true mean weight of the rock is within the interval of (25.2, 29.1).

7 0

2 years ago

Using the Avalanche Method and the following debt, how much of the monthly $700 should be paid to Creditor #3?

Zanzabum

Creditor 3 should receive only the minimum payment of $25. In the avalanche method, the debtor pays only the minimum payments, then pays the rest of their money to the creditor with the highest interest rate. Creditor 2 has the highest interest rate.

3 0

3 years ago