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3 years ago

A circle has a radius of 19m . find the radian measure of the central angle θ that intercepts an arc of length 6m .

1 answer:

4 0

First, find the perimeter of the circle
p = 2 × π × r
p = 2 × 3,14 × 19
p = 119.32
The perimeter of the circle is 119.32 cm

Second, find the central angle
Comparison of the central angle, full rotation angle, the arc, and the perimeter can be written as
angle/(full rotation angle) = arc/perimeter
angle = arc/perimeter × (full rotation angle)

Input the numbers
angle = arc/perimeter × (full rotation angle)
angle = 6/119.32 × 360°
angle = 6(360°)/119.32
angle = 2,160/119.32
angle = 18.1

The central angle would be 18.1°

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Hello there!

The correct answer is C. 225.

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3 years ago

Paul is saving for a down payment to buy a house. The account earns 13% interest compound quarterly, and he wants to have $15,00

Tatiana [17]

Answer:

The principal must be = $8991.88

Step-by-step explanation:

Formula for compound interest is:

$A = P(1 + \frac{r}{n})^{nt}$

Where A is the amount after 't' years.

P is the principal amount

n is the number of times interest is compounded each year.

r is the rate of interest.

Here, we are given that:

Amount, A = $15000

Rate of interest = 13 % compounded quarterly i.e. 4 times every year

Number of times, interest is compounded each year, n = 4

Time, t = 4 years.

To find, Principal P = ?

Putting all the given values in the formula to find P.

$15000 = P(1 + \frac{13}{400})^{4\times 4}\\\Rightarrow 15000 = P(1 + 0.0325)^{16}\\\Rightarrow 15000 = P(1.0325)^{16} \\\Rightarrow 15000 = P \times 1.66817253\\\Rightarrow P = \dfrac{15000}{1.66817253}\\\Rightarrow P \approx \$8991.88$

So, <em>the principal must be = $8991.88</em>

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3 years ago

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zysi [14]

Answer:

Step-by-step explanation:

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I think this might be it hope it helps

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