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koban [17]
3 years ago
12

The percent change of 15 yards to 18 yards

Mathematics
2 answers:
Paladinen [302]3 years ago
5 0
First we subtract it:

18 - 15 = 3

Now we divide it to the original:

3 / 15 = 0.2

Multiply by 100:

0.2 * 100 = 20%
Tanya [424]3 years ago
3 0

Answer:

20%

Step-by-step explanation:

percent of change = amount of change/original amount

First, subtract (to get the amount of change) 18 - 15 = 3

Plug numbers in according to the formula above 3/15

Simplify 1/5

1/5 x 100 = 100/5

Divide: 20

The answer is 20%

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The question is given in the picture.
lorasvet [3.4K]
This is a really interesting question! One thing that we can notice right off the bat is that each of the circles has the same amount of area swept out of it - namely, the amount swept out by one of the interior angles of the hexagon. Let’s call that interior angle θ. We know that the amount of area swept out in the circle is proportional to the angle swept out - mathematically

θ/360 = a/A

Where “a” is the area swept out by θ, and A is the area of the whole circle, which, given a radius of r, is πr^2. Substituting this in, we have

θ/360 = a/(πr^2)

Solving for “a”:

a = π(r^2)θ/360

So, we have the formula for the area of one of those sectors; all we need to do now is find θ and multiply our result by 6, since we have 6 circles. We can preempt this but just multiplying both sides of the formula by 6:

6a = 6π(r^2)θ/360

Which simplifies to

6a = π(r^2)θ/60

Now, how do we find θ? Let’s look first at the exterior angles of a hexagon. Imagine if you were taking a walk around a hexagon. At each corner, you turn some angle and keep walking. You make 6 turns in all, and in the end, you find yourself right back at the same place you started; you turned 360 degrees in total. On a regular hexagon, you’d turn by the same angle at each corner, which means that each of the six turns is 360/6 = 60 degrees. Since each interior and exterior angle pair up to make 180 degrees (a straight line), we can simply subtract that exterior angle from 180 to find θ, obtaining an angle of 180 - 60 = 120 degrees.

Finally, we substitute θ into our earlier formula to find that

6a = π(r^2)120/60

Or

6a = 2πr^2

So, the area of all six sectors is 2πr^2, or the area of two circles with radii r.
5 0
3 years ago
Determine the measures of the angles of AMNO if the measures of the angles are in the ratio 2:4:6.
masha68 [24]

Answer:

60,120,180

Step-by-step explanation:

360:(2+4+6)=30

30×2=60

30×4=120

30×6=180

8 0
3 years ago
If BCD ~ GEF, find BD​
Masja [62]

Answer:

19

Step-by-step explanation:

if the triangles are similar then EG/BC = FG/BD

51/(x+4) = 57/(2x-7) cross multiply expressions

102x - 357 = 57x + 228

102x - 57x = 228 + 357

45x = 585 divide both sides by 45

x = 13

BD = 2x -7 and 13×2 - 7 = 19

4 0
3 years ago
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The graph below represents the dimensions of a rectangle. What type of variation do the adjacent side lengths exhibit?
schepotkina [342]
The answer is b because if you look there is no Direct variation
4 0
3 years ago
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Find the solution to the equations. Will Mark Brainliest
vova2212 [387]

Answer:

(- 1, 1 )

Step-by-step explanation:

Given the 2 equations

2x - y = - 3 → (1)

x + y = 0 → (2)

Adding the 2 equations term by term will eliminate the term in y, that is

3x = - 3 ( divide both sides by 3 )

x = - 1

Substitute x = - 1 into either of the 2 equations and solve for y

Substituting into (2)

- 1 + y = 0 ( add 1 to both sides )

y = 1

Solution is (- 1, 1 )

7 0
3 years ago
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