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21×5​

Area of shaded region = area of circle - area of segment

(where "segment" refers to the unshaded region)

Area of circle = π (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:

Area of segment = area of sector - area of triangle

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

Area of sector = 13/36 π (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 x) :

x ² = (11.1 m)² + (11.1 m)² - 2 (11.1 m)² cos(130°)

x ² ≈ 404.82 m²

x = 20.12 m

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

sin(25°) = y / (11.1 m)

y = (11.1 m) sin(25°)

y ≈ 4.69 m

Then

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

so that

Area of segment ≈ 139.78 m² - 47.19 m² ≈ 92.59 m²

Finally,

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

Answer:

Step-by-step explanation:

Answer: need a pic or more info

Step-by-step explanation:

Answer:

area = πr^2

= 81 π

circumference = 2πr

= 18 π

hope it helps

Step-by-step explanation:

A≈254.47cm²

r Radius

9

cm

d

r

r

r

d

d

C

A

Answer:

option 2

4/7

Step-by-step explanation:

Multiply 4/3x3/7 = 12/21

now simplify  12/21 = 4/7

Answer:

WeIIcome

Step-by-step explanation:

Answer:

Cos(a - b) = 0.959

Step-by-step explanation:

We know that:

Sin(a) = 4/5

Such that a is on the first quadrant (between 0° and 90°)

then:

Sin(a) = 4/5

Asin(sin(a)) = Asin(4/5)

a = Asin(4/5) = 53.13°

And:

Cos(b) = 2/5

Then:

Acos(Cos(b)) = Acos(2/5)

b = Acos(2/5) = 36.67°

Then:

Cos(a - b)

where:

a = 53.13° and b = 36.67°

Then:

Cos(a - b) = Cos(53.13° - 36.67°) = 0.959

Answer:

Step-by-step explanation:

Answer: 240

Step-by-step explanation:

Suppose in a math class of 22 students, 14 are boys and 8 are girls. ... for a girl you have a 8 out of 22 students chance....for an A you have an additional ... 8/22+4/22 = 12/22 = 6/11. for a boy there is a 14 out of 22 chance of being a boy and an ... 14/22 + 6/22 = 20/22= 10/11 ... How to display latex properly

Answer:

top choice

Step-by-step explanation:

For SAS, you need a side followed by an angle followed by another side of one triangle to be congruent to the corresponding parts of another triangle.

The top choice shows side-angle-side.

The middle choice shows angle-side-angle.

The bottom choice shows side-side-side.

Answer: top choice

Answer:

The answer would be 28

Step-by-step explanation:

You would plug 8 in where k is and 2 where j is

so (8)3 - 4(2) +12

answer is 28

Answer:

x = 8

Step-by-step explanation:

Answer:

equal, tell me if I'm wrong

Answer: Jenny would have to work 5 hours to get $85

Step-by-step explanation:

Jenny makes $17 an hour (221/13 = 17) and 85/17 is 5

Answer:

3 1/3

Step-by-Step

first step is too make a an improper fraction, 1 1/3 equals 4/3 and 2 2/4 equals 10/4. next your gonna multiply 4/3 and 10/4, 4x10=40,3x4 equals 12, so it would be 40/12. but its improper, we need to reduce it. the lowest number that can go in both numbers is 4. 40 divided by 4 =10. 12 divided by 4=3. 12/3= 3 1/3

Answer:

10/3

Step-by-step explanation:

That's 1 1/3 times 2 1/2.

Converting these into improper fractions, we get 4/3 times 5/2.

Multiplying (4/3) by (5/2), we get 20/6, or, after reduction, 10/3

Answer:

1.A+B=2y²+3x-x²+3x²-y²=y²+3x+2x²

2.A-B=2y²+3x-x²-3x²+y²=3y²+3x-4x²

3.B+C=3x²-y²+5x²-3xy=8x²-3xy-y²

4.B-C=3x²-y²-5x²+3xy=3xy-2x²-y²

5.A+B+C=2y²+3x-x²+3x²-y²+5x²-3xy

=y²+3x+2x²+5x²-3xy=y²+3x-3xy+7x²

6.A+B-C=y²+3x+2x²-5x²+3xy=y²+3x+3xy-3x²

Answer: 6 2/3 pounds.

Step-by-step explanation:

Answer:

6 2/3 pounds

Step-by-step explanation:

Answer: Scale of 2:1

Step-by-step explanation:

All the angles are the same. So its the same polygon just bigger.

Line DA multiplied by a factor of 2 will make is as long as Line ZW.

Line AB multiplied by 2 will also make it equal to Line WX

From that we can assume that Lines XY and YZ are equal to Lines BC and CD

Answer:

c

Step-by-step explanation:

Answer: 14*x

Step-by-step explanation: I am 99% sure

Answer:

Step-by-step explanation:

1/5

Answer: 1/5

Step-by-step explanation:

Answer:

huh

Step-by-step explanation:

Answer:

36 blues

Step-by-step explanation:

Answer:

36 blue Candies

Step-by-step explanation:

Let

x ----> the number of blue Candies

y ----> the number of yellow Candies

we know that

The ratio of blue candied and yellow candies is 3:5

Step-by-step explanation:

The ratio of blue candied and yellow candies is 3:5

so

x = 3

y 5 -----> equation A

the bag contains 60 yellow Candies

so

y=60 ----> equation B

substitute equation B in equation A

r 3

60 5

solve for x

x=3 (60) = 36

5

Answer:

2

Step-by-step explanation:

It's the smallest one.

Answer

If you mean 5082 ÷ 5 than the answer is 1016.4

Step-by-step explanation:

Hope it helps!

Answer:

3x+7x

Step-by-step explanation:

Answer:

D) 3x+7x

Step-by-step explanation:

D) 3x+7x

Answer:

you are right

Step-by-step explanation:

Use the law of law of cos

c^2=a^2+b^2﹣2abcos√angle

(2√13)^2=52=4+36-24cos(a)

cos(a) = -12/24 =  -1/2

a = 120 degrees

so yes, you are right