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meriva
3 years ago
10

In your own words, explain what it means to dilate a triangle.

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
7 0

Answer:

It means that you take a triangle and make another one but this time it is not the same size of the first one but the same shape. In other words make it bigger or smaller than the first one.

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You deposit $2000 in an account earning 6% interest compounded monthly. How much will you have in the account in 15 years?
Zepler [3.9K]

\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2000\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &15 \end{cases} \\\\\\ A=2000\left(1+\frac{0.06}{12}\right)^{12\cdot 15}\implies A=2000(1.005)^{180}\implies A\approx 4908.19

7 0
4 years ago
Write the mixed number as a fraction. 1 2\5
konstantin123 [22]

Answer:

1.40

Step-by-step explanation:

6 0
3 years ago
Victoria knit a total of 18 centimeters of scarf over 3 nights. How many nights will victoria have to spend knitting in order to
svet-max [94.6K]
Well the unite rate is 6 over 1 night, so I’m guessing it would take her 7 nights to knit 42 centimeters.
Hope this helps! I really did try :) :/
7 0
3 years ago
According to a 2014 research study of national student engagement in the U.S., the average college student spends 17 hours per w
Nadusha1986 [10]

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 17

For the alternative hypothesis,

µ < 17

This is a left tailed test.

Since the population standard deviation is not given, the distribution is a student's t.

Since n = 80,

Degrees of freedom, df = n - 1 = 80 - 1 = 79

t = (x - µ)/(s/√n)

Where

x = sample mean = 15.6

µ = population mean = 17

s = samples standard deviation = 4.5

t = (15.6 - 17)/(4.5/√80) = - 2.78

We would determine the p value using the t test calculator. It becomes

p = 0.0034

Since alpha, 0.05 > than the p value, 0.0043, then we would reject the null hypothesis.

The data supports the professor’s claim. The average number of hours per week spent studying for students at her college is less than 17 hours per week.

4 0
4 years ago
Suppose 42 gallons of water came out of a pipe in 6 minutes. What was the rate in gallons per minute?
lyudmila [28]

Answer:

7 gallons per minute.

Step-by-step explanation:

42 / 6 = 7

5 0
3 years ago
Read 2 more answers
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