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ira [324]
3 years ago
13

A regular polygon has 15 sides. Which is a possible angle of rotational symmetry for the figure? 12° 45° 72° 90°

Mathematics
2 answers:
nadezda [96]3 years ago
4 0
We are asked to solve for the angle of rotational symmetry of a given regular polygon and the formula is degrees of rotation = 360° / number of sides. In this problem, the solution is shown below:
We used n = 5 since pentagon has five number of sides
degrees of rotation = 360° / 5 
degrees of rotation = 72°

The answer is the third in the choices 72°.
kow [346]3 years ago
3 0

if i did my math correctly, its 72 degrees

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What is the equation of a line that is perpendicular to y = 3 x − 2 and passes through the point ( 6 , 8 ) Was
Flauer [41]

Hello!

To find the line that is perpendicular to y = 3x - 2 and passes through the ordered pair (6, 8), we will:

  1. Find the negative reciprocal using the slope of the given function
  2. Substitute the given ordered pair into the new equation with the slope found in step 1

Let's remind ourselves of slope-intercept formula. Slope-intercept formula is y = mx + b, where m is the slope, and b is the y-intercept.

In the given equation, we know that 3 is slope. With that, we can find the negative reciprocal of that slope, and continue to step #2.

To find the reciprocal, we will need to flip our fraction. In this case, 3/1 = 3, so once we flip it, it is 1/3. Since it is the negative reciprocal, the fraction is a negative, so the negative reciprocal is -1/3.

Now, we will substitute the ordered pair into the slope-intercept formula with our new slope.

y = -1/3x + b (6, 8)

8 = -1/3(6) + b

8 = -2 + b (add 2 to both sides)

10 = b

Therefore, the equation of the line is y = -1/3x + 10.

8 0
3 years ago
For the data set below, calculate the standard deviation to the nearest hundredth decimal place. 27 38 47 42 33 56 37 57 38 52
mihalych1998 [28]
In order to calculate standard deviation, apply the standard deviation formula, which is given in the attached file. In this formula, we are finding the square root of the sum of the square of given values less their mean value (the sum of the given numbers divided to their amount) divided to N-1, where N is the amount of the given numbers. When we calculate the mean, it is 42.7 and the standard deviation is 10.02275 

5 0
4 years ago
Read 2 more answers
What is the product of any number, x, multiplied by 1? explain how you know
Sav [38]
It would be still be X. Any number times 1 is that number. For example 3x1=3 and 325x1=325 :)
5 0
3 years ago
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an anchor line for a tower needs to be replaced. the tower is 96ft tall. the anchor line is 105ft long. how far from the tower c
Fynjy0 [20]

Answer:

Let x be how far from the tower can it be placed

by Pythagorus theorem

x^2  + 96^2   = 105^2

x=√(105^2  -96^2 )=√1809 = 42.532340 = 42.5 ft


3 0
3 years ago
Find the area of the trapezoid. A drawing of a trapezoid with length of two parallel sides equal to a mixed fraction of one and
maxonik [38]

Answer:

10cm^2

Step-by-step explanation:

We are given that

Two parallel sides of trapezoid are

a=1\frac{1}{2}cm=\frac{3}{2}=1.5cm

b=3\frac{1}{2}=3+0.5=3.5 cm

Height of trapezoid, h=4 cm

We have to find the area of the trapezoid.

We know that

Area of trapezoid=\frac{1}{2}(a+b)h

Where a and b are two parallel sides

h=Height of trapezoid

Using the formula

Area of trapezoid=\frac{1}{2}(1.5+3.5)\times 2

Area of trapezoid=10cm^2

4 0
3 years ago
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