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Nuetrik [128]
3 years ago
15

The measure of angle PQR is 75°. The length of radius QR is 8 inches. What is the approximate area of sector PQR? Use 3.14 for p

i .
Mathematics
1 answer:
miv72 [106K]3 years ago
8 0

Answer:

  about 41.9 square inches

Step-by-step explanation:

The area of a sector of radius r and central angle α is given by ...

  A = (1/2)r^2·α

where α is in radians.

The angle 75° is equivalent to 75°·(π/180°) = 5π/12 radians, so the area is ...

  A = (1/2)(8 in)^2·(5/12)·3.14 = (40/3)·3.14 in^2 = 41.86_6 in^2 ≈ 41.9 in^2

_____

<em>Comment on the precision of the answer</em>

The use of a 3-significant-digit value for pi means that the answer must be rounded to 3 significant digits. If the 8-inch value for radius is really only accurate to ±1/2 inch, then the answer must be rounded to 1 significant digit: 40 in^2.

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Step-by-step explanation:

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EastWind [94]

The given equation is,

3(-n+4)+5n=2n

Part 1:

Solve the above equation for n.

Using distributive property of multiplication,

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Now, group the like terms.

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Now, add the like terms.

\begin{gathered} -5n+5n+12=0 \\ 0=-12 \end{gathered}

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Since we obtained a false statement, the given equation has no solution.

So, option b is correct.

Part 2:

The option (a) is n=3.

If while solving an equation, a single value is obtained for the variable, then the equation has only a single solution. If n=3 is obtained after solving the equation, then the student should chose option (a) as the answer.

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8 0
1 year ago
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