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Anna007 [38]
3 years ago
7

242 is the same as the total of b and 59 write in a equation

Mathematics
2 answers:
olga2289 [7]3 years ago
7 0

242=b+59

We don't have all the information in this equation, so we need to use what we have to find the value of b. The operation in this equation is addition, so we'll do the inverse operation to find b. The inverse, or opposite, of addition is subtraction.

242-59=b

TiliK225 [7]3 years ago
5 0

Answer:

Step-by-step explanation:

242=b+49

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Solution:

Given a circle of center, A with radius, r (AB) = 6 units

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To find the area, A, of a sector, the formula is

\begin{gathered} A=\frac{\theta}{360\degree}\times\pi r^2 \\ Where\text{ r}=AB=6\text{ units} \\ A=9\pi\text{ square units} \end{gathered}

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\begin{gathered} 9\pi=\frac{\theta}{360\degree}\times\pi\times6^2 \\ Crossmultiply \\ 9\pi\times360=36\pi\times\theta \\ 3240\pi=36\pi\theta \\ Divide\text{ both sides by 36}\pi \\ \frac{3240\pi}{36\pi}=\frac{36\pi\theta}{36\pi} \\ 90\degree=\theta \\ \theta=90\degree \end{gathered}

To find the length of the arc, s, the formula is

\begin{gathered} s=\frac{\theta}{360\degree}\times2\pi r \\ Where \\ \theta=90\degree \\ r=6\text{ units} \end{gathered}

Substitute the variables into the formula to find the length of an arc, s above

\begin{gathered} s=\frac{\theta}{360}\times2\pi r \\ s=\frac{90\degree}{360\degree}\times2\times\pi\times6 \\ s=\frac{12\pi}{4}=3\pi\text{ units} \\ s=3\pi\text{ units} \end{gathered}

Hence, the length of the arc, s, is 3π units.

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Steps;

Step-by-step explanation:

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