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3 years ago

Solve the equation for x and round your answer to the nearest hundredth. 5x + 14 = 26

1 answer:

maks197457 [2]3 years ago

7 0

5x + 14 = 26

subtract 14 on both sides

5x = 26 - 14

5x = 12

Divide 5 on both sides

x = 12/5

x = 2.4

That's only to the nearest tenth. To make it to the hundreth, just add another 0 at the end. It doesn't change the value of it.

x = 2.40 is your final answer.

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Find the area A of the sector of a circle of radius 90 in formed by central angle 1/6 radian.

miv72 [106K]

Answer:

2121 $in^{2}$ Rounded to the nearest inch.

Step-by-step explanation:

A = $\pi r^{2}$ Is the formula for a circle, but we only have a portion of a circle so we will have to adjust the formula for a part of the circle.

A = $\frac{\frac{\pi }{6} }{2\pi }$ $\pi r^{2}$ The $\frac{\pi }{6}$ is the part of the circle and the whole circle is 2 $\pi$

$\frac{\frac{\pi }{6} }{2\pi }$ is the same as $\frac{\pi }{6}$ ÷ $\frac{2\pi }{1}$ Which is the same as $\frac{\pi }{6}$ x $\frac{1}{2\pi }$ Which is the same a $\frac{1}{12}$

A = $\frac{1}{12}$ $\pi$ $90^{2}$

A = $\frac{1}{12}$ (3.14)(90)(90) = 2119.5. When you use the $\pi$ on your calculator you get a slightly different number. This is due to rounding.

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