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____ [38]
2 years ago
12

Point P is the center of the circle below. What is the exact area

Mathematics
1 answer:
igor_vitrenko [27]2 years ago
6 0

Answer:

Area =192\pi

Step-by-step explanation:

Given

\theta = 120^o

r =24

Required

The area of the shaded sector

This is calculated as:

Area =\frac{\theta}{360} * \pi r^2

This gives

Area =\frac{!20}{360} * \pi *24^2

Area =\frac{1}{3} * \pi *576

Area =\pi *192

Area =192\pi

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It would be 7 out of 11 because there are 8 marbles and you only took out one white marble

4 0
3 years ago
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A glazier is setting supports in parallel segments to prevent glass breakage during storms. What are the values of x and y? Just
lara [203]

Answer:

m∠y=50°

m∠x=50°

Step-by-step explanation:

we know that

The angles in matching corners are called <u><em>corresponding angles</em></u>. When the two lines are parallel Corresponding Angles are equal

so

m∠y=50° -----> by corresponding angles

and

The angles that are formed on opposite sides of the transversal and inside the two lines are <u><em>alternate interior angles</em></u>. When the lines are parallel, the alternate interior angles are equal.

so

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so

m∠x=50°

therefore

m∠y=50°

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5 0
3 years ago
The points(0,2) and (4,-10) lie on the same line and the points (-5,-3) and (2,11) lie on another line. Determine by graphing wh
joja [24]
You are asked to do this problem by graphing, which would be hard to do over the Internet unless you can do your drawing on paper and share the resulting image by uploading it to Brainly.

If this were homework or a test, you'd get full credit only if you follow the directions given.

If <span>The points(0,2) and (4,-10) lie on the same line, their slope is m = (2+10)/(-4), or   m =-3.  Thus, the equation of this line is y-2 = -3x, or y = -3x + 2.

If </span><span>points (-5,-3) and (2,11) lie on another line, the slope of this line is:

m = 14/7 = 2.  Thus, the equation of the line is y-11 = 2(x-2), or y = 11+2x -4, or y = 2x + 7.

Where do the 2 lines intersect?  Set the 2 equations equal to one another and solve for x:

</span>y = -3x + 2 = y = 2x + 7.  Then 5x = 5, and x=1.

Subst. 1 for x in y = 2x + 7, we get y = 2(1) + 7 = 9.

That results in the point of intersection (2,9).

Doing this problem by graphing, on a calculator, produces a different result:  (-1,5), which matches D.

I'd suggest you find and graph both lines yourself to verify this.  If you want, see whether you can find the mistake in my calculations.

3 0
3 years ago
For every two feet the ramp goes up it also goes 5 feet forward. If this ratio remained constant, how many feet high would the r
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