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kap26 [50]
2 years ago
6

I just need the answer please! ! !

Mathematics
1 answer:
OLEGan [10]2 years ago
3 0

The first one x>7 nsdnejsjdhwkakns stupid 20 characters

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Pls help 15. Find the exact area of the shaded region of the circle shown in the diagram.
konstantin123 [22]

Answer:

  • The shaded region is 9.83 cm²

Step-by-step explanation:

<em>Refer to attached diagram with added details.</em>

<h2>Given </h2>

Circle O with:

  • OA = OB = OD - radius
  • OC = OD = 2 cm

<h2>To find</h2>

  • The area of segment ADB.

<h2>Solution</h2>

Since r = OC + CD, the radius is 4 cm.

Consider right triangles OAC or OBC:

  • They have one leg of 2 cm and hypotenuse of 4 cm, so the hypotenuse is twice the short leg.

Recall the property of 30°x60°x90° triangle:

  • a : b : c = 1 : √3 : 2, where a- short leg, b- long leg, c- hypotenuse.

It means OC: OA = 1 : 2, so angles AOC and BOC are both 60° as adjacent to short legs.

In order to find the shaded area we need to find the area of sector OADB and subtract the area of triangle OAB.

Area of <u>sector:</u>

  • A = π(θ/360)r², where θ- central angle,
  • A = π*((mAOC + mBOC)/360)*r²,
  • A = π*((60 + 60)/360))(4²) =  16.76 cm².

Area of<u> triangle AO</u>B:

  • A = (1/2)*OC*(AC + BC),  AC = BC = OC√3 according to the property of 30x60x90 triangle.
  • A = (1/2)(2*2√3)*2 = 4√3 = 6.93 cm²

The shaded area is:

  • A = 16.76 - 6.93 = 9.83 cm²

8 0
1 year ago
What is the difference between<br> a terminating decimal and a repeating<br> decimal?
yan [13]

Answer:

Terminating means to add. Repeating goes on forever and ever and ever.

Step-by-step explanation:

Example of terminating: 3.256

Example of repeating: 3.256934103...

A good repeating decimal would be pi.

7 0
3 years ago
A 10-pound bag of wildflower seed covers 25 square feet. How many pounds of seed does it take to cover 1 square​ foot?
adell [148]

Answer:

0.4 pounds

Step-by-step explanation:

10 pounds / 25 square feet

to get the number of pounds per feet

10 / 25 = 0.4

so, your answer is 0.4 pounds per 1 square foot

6 0
2 years ago
To change a Celsius temperature to fahrenheit, use formula F=9/5C+32 . You are concerned only with temperatures from freezing to
stepan [7]
123454321\67891019876\123456789101987654321
8 0
3 years ago
Divide: 4/15÷8/25. What is the answer?
dybincka [34]
4/15 = 0.267
8/25 = 0.32
0.267/0.32 = 0.834375
3 0
2 years ago
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