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3 years ago

The perimeter of a regular pentagon is 100 centimeters. How long is each side?

Mathematics

2 answers:

Illusion [34]3 years ago

7 0

A Pentagon has 5 sides, therefore just divide 100 into 5 sides .
100÷5 = 20 centimeters

stiks02 [169]3 years ago

5 0

Each side is twenty centimeters.

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I really need help on this!

ella [17]

The answer is it multiply's by 4. 70 time 4 is 280. that times 4 is 1,120. That times 4 is 4,480. That times 4 is 17,920.I hope this helps ^^

7 0

4 years ago

Suppose a researcher is estimating the proportion of trees showing signs of disease in a local forest. They randomly sample 150

Serhud [2]

Answer:

$0.167 - 1.96 \sqrt{\frac{0.167(1-0.167)}{150}}=0.107$

$0.167 + 1.96 \sqrt{\frac{0.167(1-0.167)}{150}}=0.227$

And the 95% confidence interval would be given (0.107;0.227).

Step-by-step explanation:

Information given

$X= 25$ number of trees with signs of disease

$n= 150$ the sample selected

$\hat p=\frac{25}{150}= 0.167$ the proportion of trees with signs of disease

The confidence interval for the true proportion would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 95% confidence interval the significance is $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ , and the critical value would be

$z_{\alpha/2}=1.96$

And replacing we got:

$0.167 - 1.96 \sqrt{\frac{0.167(1-0.167)}{150}}=0.107$

$0.167 + 1.96 \sqrt{\frac{0.167(1-0.167)}{150}}=0.227$

And the 95% confidence interval would be given (0.107;0.227).

6 0

3 years ago

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 5 36 −

azamat

Answer: V = 193.25π

Step-by-step explanation: The method to calculate volume of a solid of revolution is given by an integral of the form:

V = $\pi\int\limits^a_b {[f(x)]^{2}} \, dx$

f(x) is the area is the function that rotated forms the solid.

For f(x)=y= $\frac{5}{36}-x^{2}$ and solid delimited by x = 2 and x = 4:

V = $\pi\int\limits^4_2 {(\frac{5}{36}-x^{2} )^{2}} \, dx$

V = $\pi\int\limits^4_2 {(\frac{25}{1296}-\frac{10x^{2}}{36}+x^{4}) } \, dx$

V = $\pi(\frac{25.4}{1296}-\frac{10.4^{3}}{108}+\frac{4^{5}}{5}-\frac{25.2}{1296}+\frac{10.2^{3}}{108}-\frac{2^{5}}{5} )$

V = $\pi(\frac{50}{1296}-\frac{560}{1296}+\frac{992}{1296} )$

V = 193.25π

The volume of a solid formed by y = $\frac{5}{36} - x^{2}$ and delimited by x = 2 and x = 4

is 193.25π cubic units.

6 0

3 years ago

AHHHHH HELPPPPPPPPPPPPPPPPP

Debora [2.8K]

$3^{2}+2^{2}=d^{2}$

7 0

3 years ago

Read 2 more answers

Jordan went swimming each day of his vacation. On Monday he swam for 3/4 of an hour, on Tuesday he swam for 2 1/4 hours, on Wedn

andreyandreev [35.5K]

Answer: Friday, Wednesday, Monday, Thursday, and then Tuesday.

Step-by-step explanation:

Friday = 1/4 = 15 minutes

Wednesday = 1/2 = 30 minutes

Monday = 3/4 = 45 minutes

Thursday = 1 3/4 = 1h 45 minutes

Tuesday = 3 1/4 = 3h 15 minutes

8 0

3 years ago