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aleksandrvk [35]
3 years ago
7

Find the area of the circle that contains the sector described below. Round to the nearest tenth, if necessary.

Mathematics
1 answer:
Elis [28]3 years ago
6 0

Answer:

The area of the circle is 2520 cm²

Step-by-step explanation:

The area of an arc is given by the following formula:

arc area = pi*r²(angle/360)

In this case we have the area and the angle and we want to find r, so we have:

210 = pi*r²*(30/360)

210 = pi*r²*(1/12)

210*12 = pi*r²

pi*r² = 210*12

r² = 2520/pi

r = sqrt(2520/pi)

r = 28.3221

The area of the circle that has this arc is given by:

area = pi*r²

area = pi*(28.3221)² = 2520 cm²

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The order of these numbers is 2, to 3, to 17. hope this helps :))
5 0
3 years ago
Using the identity sin? O + cos? O = 1, find the value of tan O, to the nearest
Novosadov [1.4K]

Answer:

<u>3.7</u>

Step-by-step explanation:

<u>Given</u>

  • sin²θ + cos²θ = 1
  • sinθ = 0.27

<u>Solving for cos</u>θ

  • cos²θ = 1 - sin²θ
  • cos²θ = 1 - (0.27)²
  • cos²θ = 0.0729

<u>Finding tan</u>θ

  • tanθ = sinθ / cosθ
  • tanθ = 0.27 / 0.0729
  • tanθ = <u>3.7</u>

<u>Verifying it lies in the range</u>

  • θ = tan⁻¹ (3.7)
  • θ = 74.88°
  • Range is : 0 < θ < π/2 [or 0 < θ < 90°]
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7 0
2 years ago
Rebecca and dan are biking in a national park for three days they rode 5 3/4 hours the first day and 6 4/5 hours the second day
AfilCa [17]

Answer:

Rebecca and Dan need to ride 7\frac{9}{20}\ hrs. on the third day in order to achieve goal of biking.

Step-by-step explanation:

Given:

Goal of Total number of hours of biking in park =20 hours.

Number of hours rode on first day = 5\frac34 \ hrs.

So we will convert mixed fraction into Improper fraction.

Now we can say that;

To Convert mixed fraction into Improper fraction multiply the whole number part by the fraction's denominator and then add that to the numerator,then write the result on top of the denominator.

5\frac34 \ hrs. can be Rewritten as \frac{23}{4}\ hrs

Number of hours rode on first day = \frac{23}{4}\ hrs

Also Given:

Number of hours rode on second day = 6\frac45 \ hrs

6\frac45 \ hrs can be Rewritten as \frac{34}{5}\ hrs.

Number of hours rode on second day = \frac{34}{5}\ hrs.

We need to find Number of hours she need to ride on third day in order to achieve the goal.

Solution:

Now we can say that;

Number of hours she need to ride on third day can be calculated by subtracting Number of hours rode on first day and Number of hours rode on second day from the Goal of Total number of hours of biking in park.

framing in equation form we get;

Number of hours she need to ride on third day = 20-\frac{23}{4}-\frac{34}{5}

Now we will use LCM to make the denominators common we get;

Number of hours she need to ride on third day = \frac{20\times20}{20}-\frac{23\times5}{4\times5}-\frac{34\times4}{5\times4}= \frac{400}{20}-\frac{115}{20}-\frac{136}{20}

Now denominators are common so we will solve the numerator we get;

Number of hours she need to ride on third day =\frac{400-115-136}{20}=\frac{149}{20}\ hrs \ \ Or \ \ 7\frac{9}{20}\ hrs.

Hence Rebecca and Dan need to ride 7\frac{9}{20}\ hrs. on the third day in order to achieve goal of biking.

3 0
3 years ago
A frame is 45 in. By 32 in. How many square feet are in the área of this frame ?
Alinara [238K]
Your answer would be 1,440 because 45×32= 1,440.
3 0
2 years ago
I need help on this.​
ale4655 [162]

Answer:

the x should be 10x7-(9x6)

Step-by-step explanation:

because it should be 10x7-(4+30)

3 0
3 years ago
Read 2 more answers
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