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Anton [14]
3 years ago
11

7/10, 3/20, 22/25, 2/5 in order from least to greatest

Mathematics
1 answer:
swat323 years ago
7 0
3/20, 2/5, 7/10 & 22/25
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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
2 years ago
PLEASE HELP!!!!
stira [4]
"The total number of stamps is 35" is the statement among the following choices given in the question that is correct. The correct option among all the options that are given in the question is the third option or the penultimate option. I hope that this is the answer that has actually come to your great help.
7 0
3 years ago
Read 2 more answers
Solve the equation X=
4vir4ik [10]

Step-by-step explanation:

I think the answer is x=70

7 0
2 years ago
The school water fountain can only fill 3/4 of a jug at a time. With this amount of water, Mr. Kern can water 3/8 of his plants.
Vesnalui [34]

Answer:

\frac{3}{4}  =  \frac{3}{3}   \\  \frac{3}{8}  = x \\ x =  \frac{3}{8}  \times  \frac{4}{3}  \\ x =  \frac{1}{2}

5 0
2 years ago
A disease has a constant force of mortality, µ. Historically 10% of all people with the disease die within 20 years. A more viru
kolbaska11 [484]

Answer:

Step-by-step explanation:

For the disease having force of mortality  µ.

we apply exponential distribution law

probability of dying within 20 years

p( x <20) = 1-e^{-\mu} = .1

e^{-\mu} = .9

For the disease having force of mortality  2µ.

we apply exponential distribution law

probability of dying within 20 years

p( x <20) = 1 - e^{-2\mu}

= 1 - ( .9)²

= 1 - .81

= .19

or 19%

5 0
3 years ago
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