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kati45 [8]
2 years ago
8

A regular pentagon is inscribed in ur let of radius 8cm. find the length of one side of the polygon​

Mathematics
1 answer:
Sergio039 [100]2 years ago
4 0

9514 1404 393

Answer:

  9.404 cm

Step-by-step explanation:

A regular polygon with n sides inscribed in a circle of radius r will have a side length given by ...

  s = 2r·sin(180°/n)

For r = 8 and n = 5, this gives a side length of ...

  s = 2·8·sin(180°/5) = 16·sin(36°) ≈ 9.404 . . . cm

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An experiment is conducted to test the claim that james bond can taste the difference between a martini that is shaken and one t
sammy [17]

In hypothesis testing the claim that we have to test always goes into alternative hypothesis. The null hypothesis is negation of claim.

Here the claim to be tested is James bond can taste the difference between a martini that is shaken and one that is stirred.

So negation of this claim is James bond can not taste the difference between a martini that is shaken and one that is stirred.

So the null hypothesis for given experiment is

Null hypothesis: James bond can not taste the difference between a martini that is shaken and one that is stirred.

Alternative hypothesis: James bond can taste the difference between a martini that us shaken and one that is stirred.

5 0
3 years ago
Find the distance between the two points in simplest radical form.<br> (-9,8) and (-3, -1)
dmitriy555 [2]

Answer:

The distance between (-9, 8) and (-3, -1) will be:

\:d=3\sqrt{13} units

Step-by-step explanation:

Given the points

  • (-9, 8)
  • (-3, -1)

Finding the distance between (-9, 8) and (-3, -1)

d\:=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}

   =\sqrt{\left(-3-\left(-9\right)\right)^2+\left(-1-8\right)^2}

   =\sqrt{\left(-3+9\right)^2+\left(-1-8\right)^2}

   =\sqrt{36+81}

   =\sqrt{117}

   =3\sqrt{13} units

Therefore, the distance between (-9, 8) and (-3, -1) will be:

\:d=3\sqrt{13} units

7 0
2 years ago
F(z) = (z - 5)(2x + 7) (73 = 3) has zeros at x = -3.5, x=3/7 , x=5 What is the sign of f on the interval 3/7 &lt; x &lt;5?
Gwar [14]
<h3>Answer:     Negative</h3>

======================================================

Explanation:

3/7 = 0.42857 approximately

Pick a number between that value and 5, not including either endpoint. Let's say we pick x = 2

Plug x = 2 into the f(x) function

f(x) = (x - 5)(2x + 7)(7x-3)

f(2) = (2 - 5)(2*2 + 7)(7*2-3)

f(2) = (2 - 5)(4 + 7)(14-3)

f(2) = (-3)(11)(11)

f(2) = -363

The actual result doesn't matter. All we're after is whether the result is positive or negative. We see the result is negative. This means f(x) is negative when 3/7 < x < 5. The f(x) curve is below the x axis on this interval.

3 0
3 years ago
12+3y+y=?<br> What is the answer?
puteri [66]

Answer:

12+4y

Step-by-step explanation:

12+3y+y=12+4y

3 0
3 years ago
Read 2 more answers
3 5/6 x 8 as a fraction
kirza4 [7]

Answer: 92/3 OR 30 2/3 ??

Step-by-step explanation:

3 0
3 years ago
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