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faust18 [17]
3 years ago
8

Pythagorean theorem: Show work please free points!!!!

Mathematics
2 answers:
IgorC [24]3 years ago
6 0
So if you have a right triangle with legs legnth a and b and a hypotonuse legnth c, then a^2+b^2=c^2 given in the comments is that a=15 c=20 input and solve 15^2+b^2=20^2 225+b^2=400 subtract 225 from boths ides b^2=175 take square root of both sides b=5√7
tamaranim1 [39]3 years ago
5 0
The therorem is: 

a^{2} + b^{2} = c^{2}
or, solving for b:
b = \sqrt{c^{2}-a^{2}}

b = \sqrt{20^{2}-15^{2}}
b = \sqrt{400-225}
b = \sqrt{175}
b \approx 13.23
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Randomly selected students participated in an experiment to test their ability to determine when one minute​ (or sixty​ seconds)
zalisa [80]

Answer: (57.41,\ 62.19)

Step-by-step explanation:

Given : Sample size : n=40

Sample mean : \overline{x}=59.8\text{ seconds}

Standard deviation : \sigma =9.2\text{ seconds}

Significance level : \alpha=1-0.9=0.1

Critical value : z_{\alpha/2}=1.645

Formula to find the confidence interval for population mean :-

\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}\\\\=59.8\pm(1.645)\dfrac{9.2}{\sqrt{40}}\\\\\approx59.8\pm2.39\\\\=(59.8-2.39,\ 59.8+2.39)\\\\=(57.41,\ 62.19)

Hence, a 90​% confidence interval estimate of the population mean of all students = (57.41,\ 62.19)

6 0
3 years ago
What is the perimeter and area of the figure?
Rudiy27

Perimeter is the sum of all outside dimensions:

5 + 3 + 1 + 2 + 4 + 5 = 20cm

Area = (5 x 5) - (2*1) = 25 - 2 = 23 cm^2

7 0
3 years ago
-5/4-(-1/6) help please
tiny-mole [99]
A way to add fractions that always works is to multiply each numerator by the denominator of the other, then express the sum of products over the product of the denominators.
\dfrac{a}{b}+\dfrac{c}{d}=\dfrac{a}{b}\cdot\dfrac{d}{d}+\dfrac{c}{d}\cdot\dfrac{b}{b}\\\\=\dfrac{ad+bc}{bd}

Here, you have
\dfrac{-5}{4}-\dfrac{-1}{6}=\dfrac{-5\cdot6-(-1)\cdot4}{4\cdot6}=\dfrac{-26}{24}\\\\=\dfrac{-13}{12}=-1\frac{1}{12}

The sum is -1 1/12
3 0
3 years ago
Which decimal is equivalent to 13 over 9
DaniilM [7]

i believe 1.44444444444

5 0
3 years ago
Read 2 more answers
2^n=8^20. Solve for n
damaskus [11]

Hi the answer is 60 but the picture will show you the work!!

3 0
3 years ago
Read 2 more answers
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