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Assoli18 [71]
2 years ago
15

Find the area of the shaded region. geometry please help if your good at it. will mark brainlist

Mathematics
1 answer:
AnnZ [28]2 years ago
8 0

Area of shaded region = <em>area of circle</em> - <em>area of segment</em>

(where "segment" refers to the unshaded region)

<em>Area of circle</em> = <em>π</em> (11.1 m)² ≈ 387.08 m²

The area of the segment is equal to the area of the sector that contains it, less the area of an isosceles triangle:

<em>Area of segment</em> = <em>area of sector</em> - <em>area of triangle</em>

<em />

130° is 13/36 of a full revolution of 360°.  This is to say, the area of the sector with the central angle of 130° has a total area equal to 13/36 of the total area of the circle, so

<em>Area of sector</em> = 13/36 <em>π</em> (11.1 m)² ≈ 139.78 m²

Use the law of cosines to find the length of the chord (the unknown side of the triangle, call it <em>x</em>) :

<em>x</em> ² = (11.1 m)² + (11.1 m)² - 2 (11.1 m)² cos(130°)

<em>x</em> ² ≈ 404.82 m²

<em>x</em> = 20.12 m

Call this length the base of the triangle. Use a trigonometric relation to determine the corresponding altitude/height, call it <em>y</em>. With a vertex angle of 130°, the two congruent base angles of the triangle each measure (180° - 130°)/2 = 25°, so

sin(25°) = <em>y</em> / (11.1 m)

<em>y</em> = (11.1 m) sin(25°)

<em>y</em> ≈ 4.69 m

Then

<em>Area of triangle</em> = <em>xy</em>/2 ≈ 1/2 (20.12 m) (4.69 m) ≈ 47.19 m²

so that

<em>Area of segment</em> ≈ 139.78 m² - 47.19 m² ≈ 92.59 m²

Finally,

Area of shaded region ≈ 387.08 m² - 92.59 m² ≈ 294.49 m²

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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
Molodets [167]
Week 1: $100
Week 2: $102
Week 3: $104.04
Week 4: $106.1208
Week 5: $108.243216
Week 6: $110.40808032
Week 7: $112.6162419264
Week 8: $114.868566764928
Total: $858.296905011328

(A=100[((1+0.02)^(8)-1)(/0.2)=858.29

Hope that helped!
5 0
3 years ago
Read 2 more answers
HELP!!! PLEASE!!!!
Makovka662 [10]

Answer:

  • y = 2x² - 5x + 7

Step-by-step explanation:

For this problem, imagine the standard form, which is:

f(x) = ax² + bx + c = y

Using the table, and adding that y at the end, we can plug in and write out the following equations. (<em>Writing it out is important</em>):

f(-1) = a(-1)² + b(-1) + c = 14

f(0) = a(0)² + b(0) + c = 7

f(1) = a(1)² + b(1) + c = 4

f(2) = a(2)² + b(2) + c = 5

Now if this doesn't look familiar, it's actually a <u>systems of equations</u> using the a, b, and c elements as your three variables! If you simplify the equations:

f(-1) = a - b + c = 14

f(0) = c = 7

f(1) = a + b + c = 4

f(2) = 4a + 2b + c = 5

Something unique just happened. We have already defined what ' c ' is!

<u><em>c = 7</em></u>

Setting that aside, if you remove the f(x) portion of the equations, you're left with:

a - b + c = 14

a + b + c = 4

4a + 2b + c = 5

Using the two upper equations, if we add them together (you can do that as it doesn't change the values of the variables) you get:

2a + 2c = 18

Note: the ' b ' variables cancelled out in the addition [ b +  (-b) ]

If you further simplify the equation:

a + c = 9

Awesome. Now we already know that <u>c = 7</u>, so if you plug that into the equation:

a + 7 = 9

Solve for a. So then a = 2

Now that we know the following:

a = 2

c = 7

We can then use the equation:

a + b + c = 4

And solve for b!

2 + b + 7 = 4

Simplify.

b + 9 = 4

Simplify.

b = -5

Now at this point, since you know what a, b and c are, you can write the equation!

f(x) = 2x² - 5x + 7

You can confirm your work by putting any of the x values in the table through!

4 0
3 years ago
Read 2 more answers
What is the solution?<br> A. 1.87<br> B. 1.61<br> C. 3.73<br> D. 1.13
quester [9]
Try A:
6^(2*1.87) = 813.365

Try B:
6^(2*1.61) = 320.366

Try C:
6^(2*3.73) = 638275.725

Try D:
6^(2*1.13) = 57.362

Which one seems like the best answer?
6 0
2 years ago
Sample Response: The two conditional probabilities are not equal because each has different given events. P(A|D) has event D as
Ivan

The conditional probability illustrates that's there's a 2/8 that the event A occurs.

<h3>How to illustrate the probability?</h3>

It should be noted that probability simply means the likelihood of the occurence of an event.

In this case, it can be delivered that P(AID) and P(DIA) aren't equal.

Hence, P(D|A) has event A as its given event, resulting in 2/8 for a probability.

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

7 0
1 year ago
Help pleaseee 30 pointsss AM I CORRECT???
masha68 [24]

Answer:

Yes you are correct

Step-by-step explanation:

By doing that, you will get 8 which is the correct answer

4 0
2 years ago
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