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MArishka [77]
3 years ago
12

The rules state each child must kick the same number of times and alternate girl-boy or boy-girl. How many ways can a line-up be

made for one round of kicking?
Mathematics
1 answer:
Delicious77 [7]3 years ago
5 0
Take turn by kicking the ball
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Find the area of the shaded portion in the equilateral triangle with sides 6.
VashaNatasha [74]
First, let's get the area of the entire triangle since we'll need it later. The area of a triangle is A=1/2*b*h

We can find the height with the Pythagorean theorem by splitting the triangle in half. 
3^2+b^2=6^2
9+b^2=36
b^2=27
b=√27

Then we can find the area:
A=1/2*6*√27
A=3√27   or   =9√3   or 15.59

Now we can find the area of each region in the triangle other than the shaded region because they are all portions of a circle.

Each region has an angle of 60 because this is an equilateral triangle. Therefore the area of each region other than the shaded region will be 1/6 the area of a circle with a radius of 3 because a full circle is 360 degrees.
A=pi*r^2/6
A=pi*9/6
A=4.71

So three of these regions would have an area of 14.14

We do the area of the triangle minus the area of these regions to get the area of the shaded region
15.59-14.14 = 1.45

Hope this helps!


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3 0
2 years ago
What is the solution to the equation fraction 1 over 4x = 5?
Amanda [17]
C) x=20
x = 20
6 0
2 years ago
The picture reeeeeeeeeeeeeeeeeeeeeeeeee
Marina CMI [18]

Answer:

D. 3x - 3

Step-by-step explanation:

To find (f-g)(x) you have to subtract each fuction

(f-g)(x) = f(x) - g(x)

(f-g)(x) = 5x -2 - (2x+1)

(f-g)(x) = 5x -2 -2x -1

(f-g)(x) = 3x -3

7 0
3 years ago
Read 2 more answers
24 - 1 / 3 p = 3 /8 p
Brums [2.3K]

Answer:

p=\frac{576}{17}

Step-by-step explanation:

decimal form p= 33.8823529411764705

mixed number form= 33\frac{15}{17}

6 0
2 years ago
Our solar system is approximately 27,000 light-years from the center of the Milky Way. Therefore, what is true when we observe t
aalyn [17]

Answer:

We are observing the galactic center as it was 27,000 years ago

Step-by-step explanation:

The Galactic Center, or Galactic Centre, is the rotational center of the Milky Way. It is 8,122 ± 31 parsecs (26,490 ± 100 ly) away from Earth in the direction of the constellations Sagittarius, Ophiuchus, and Scorpius where the Milky Way appears brightest. It coincides with the compact radio source Sagittarius A*

5 0
3 years ago
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