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lesya [120]
3 years ago
13

For the problem below, θ is a central angle in a circle of a radius r. Find the length of arc s cut off by θ.

Mathematics
1 answer:
mixas84 [53]3 years ago
4 0

Answer:

Here, we will use the formula from trigonometry which defines a radian

we know that an angle is a radian when the length of the radius of the circle is equal to the length of the arc formed

hence, if the radius is r and the arc is r, the angle (in radians) will be 1

if the radius is r and the arc is 2r, the angle in radians will be equal to:

length of arc / radius = 2r/r = 2 radians

I believe this will explain what is actually happening in these type of questions

So, the equation:

Θ(in radians) = s / r (where the length of arc is s and the radius is r)

π/4 = s / 12

s = 3π or 9.42 inches

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A science class has a ratio of 3 boys and 2 girls. Can there be 24 students in the class?
guajiro [1.7K]

Answer:

Let 3x be the number of boys

Let 2x be the number of girls

3x + 2x = 24

5x = 24

x = 4.8

3(4.8) = 14.4 boys

2(4.8) = 9.6 girls

There can't be 24 students for a ratio of 3 boys and 2 girls, because there can't be 14.4 boys and 9.6 girls, it has to be an exact number, otherwise it wouldn't make any sense.

For example, you and I are both 1 person, we can't be half a person or 0.6 of a person, only 1.

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3 years ago
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Does this system of equations have one solution, no solutions, or an infinite number of solutions?
sertanlavr [38]
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8 0
4 years ago
Solve and show steps -2x+y=-7 and -2x-4y=-12
WITCHER [35]

Answer:

  (x, y) = (4, 1)

Step-by-step explanation:

The coefficients of x are the same, so we can cancel the x-terms by subtracting one equation from the other. We want to do this so the resulting y-coefficient will be positive. That means we want to subtract the second equation from the first:

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  5y = 5 . . . . . . . . simplify

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  -2x +1 = -7 . . . . . substitute for y in the first equation

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  x = 4 . . . . . . divide by -2

The solution is (x, y) = (4, 1).

_____

A graphing calculator easily verifies the solution.

6 0
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6 0
3 years ago
6th grade math i dont understand!!!!!!
Tema [17]
Umm im older and I dont even understand that
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