Mathematics, 25.04.2020 05:46, uhhgray

Circle O shown below has a radius of 29 inches. To the nearest tenth of an inch, determine the length of the arc, xx, subtended by an angle of 106^{\circ}106 ∘ .

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answered: nick4524

The length of the arc, xx subtended by an angle of 106° and has a radius of 29 inches is; 53.67 inches

The length of an arc is a fraction of the circumference of the circle which the arc is a part of.

In essence, the length of an arc is give mathematically as;

Length of an arc,

$l = \frac{ \infty }{360} \times 2\pi \: r$

where, r = radius

and the symbol, infinity = angle subtended by the arc = 106°

Length of the arc, l = (106/360) × 2 ×(22/7) × 29Length of arc, l = 53.67 inches.

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answered: sloane50

1537/90 * pi

Step-by-step explanation:

Even without seeing the circle you can answer.

If you know what the central angle of an arc is you can figure out what portion of the circumference it is.

A super quick, easy example. Say the circumference of a circle is 5 inches. if you have a semicircle it is literally half of a circle, or 180 degrees of the 360 degrees. Since it is half that means the arc of this semicircle is half of the total circumference. so there are two parts, what portion is the arc, and then what is the total circumference to take that portion of.

the arc is 106 degrees. what portion of 360 is this? well, 180/360=1/2 that gets us that 180 is half of 360. so just do the same 106/360 = 53/180 or in decimal form is .2944 so 29.44% Almost 30% Since the decimal form is repeating though I am going to use the simplified fraction form 53/180. so in other words this says 106 is fifty three one hundred eighths of 360.

Now, we want the length of the arc, which is basically the circumference of it. To do this find the whole circumference and multiply it by the fraction. Again, say the circumference was 5 inches, cutting it in half makes it 2.5 inches. So let's find the circumference. circumference is 2*pi*r. the question tells us the radius is 29, so let's just plug in.

2 * pi * r

2 * pi * 29

2 * 29 * pi

58*pi

So now we multiply by the fraction we found.

58*pi * 53/180 = 1537/90 * pi

answered: Guest

answer: $\frac{sin40^{\circ}}{x} = \frac{sin60^{\circ}}{12}$

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

$\frac{sin40^{\circ}}{x} = \frac{sin60^{\circ}}{12}$

which is the required equation for finding the value of x,

$\frac{x}{sin40^{\circ}}= \frac{12}{sin60^{\circ}}$

$x= 12\times \frac{sin40^{\circ}}{sin60^{\circ}}$

$x= 12\times 0.74222719896$

$x= 8.90672638762\approx 8.967$

answered: Guest

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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Circle O shown below has a radius of 29 inches. To the nearest tenth of an inch, determine the lengt...