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SpyIntel [72]
3 years ago
14

What is the measure (in radians) of central angle theta in the circle below? enter an exact expression.

Mathematics
1 answer:
Llana [10]3 years ago
6 0

Answer:

Measure of central angle is 3.665 radians

Step-by-step explanation:

In this question, we are trying to get the value of the central angle.

As we can see, the radius of the circle is 12cm while the length of the major arc is 14 pi cm.

Mathematically the length of an arc is calculated as follows;

Length of arc = theta/360 * 2 * pi * r

Plugging the values we have from the question;

14 pi = theta/360 * 2 * pi * 12

divide both sides by 2pi

7 = theta/360 * 12

360 * 7 = 12 theta

theta = (360 * 7)/12

theta = 210

Since 1 degree = pi/180 radian

it means 210 degrees = 210 * pi/180 = 3.665 radians

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manu took a loan of Rs 5000 for one year at 12%per annum compounded quarterly .How much he has to pay after one year.​
Shkiper50 [21]

Answer:

Amount pay after one year for compounded quarterly = Rs 5627.54

Step-by-step explanation:

Given as,

Manu took loan of Rs 5000 , So, Principal = Rs 5000

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The loan took for period of year = one

Now from the compounded method :

For compounded quarterly

Amount = principal (1 + \frac{Rate}{4\times 100})^{4\times Time}

Or, Amount = Rs 5000 (1+ \frac{12}{4\times 100})^{4}

Or, Amount = 5000 (\frac{103}{100})^{4}

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3 years ago
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8 0
3 years ago
Solve for y<br> 2(3 + 3y) + y = 11
garik1379 [7]
<h2><u>EQUATION</u></h2><h3>Exercise</h3>

2(3 + 3y) + y = 11

First, apply the distributive property:

2(3 + 3y) + y = 11

6 + 6y + y = 11

6 + 7y = 11

Substract 6 from both sides:

6 - 6 + 7y = 11 - 6

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Divide both sides by 7:

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\boxed{y = \dfrac{5}{7}}

<h3><u>Answer</u>. The value of y = 5/7.</h3>

8 0
3 years ago
Find the center, vertices, and foci of the ellipse with equation x squared divided by 400 plus y squared divided by 625 = 1
Inessa05 [86]

Answer:

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The correct answer is c=-5

(-5,0)

(5,0)

Step-by-step explanation:

4 0
3 years ago
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