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Andrej [43]
2 years ago
12

Rewrite –220° in radians. Write the solution as a fraction in simplest form.

Mathematics
1 answer:
son4ous [18]2 years ago
7 0

Answer:

- \frac{11\pi }{9}

Step-by-step explanation:

To convert degrees to radians

radian measure = degree measure × \frac{\pi }{180} , then

radian measure = - 220 × \frac{\pi }{180} ( divide 220 and 180 by 20 )

                           = - \frac{11\pi }{9}

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One terameter equals 1012 meters. One micrometer equals 10 meter.
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Answer:

<h2>a)  10⁶metres</h2><h2>b) 10¹⁸metres</h2>

Step-by-step explanation:

Given One terameter equals 10¹² meters. One micrometer equals 10⁻⁶ meter, one nanometer equals 10⁻⁹meter;

a) The product of one terameter and one micrometer will be expressed as;

10¹²  * 10⁻⁶

Since the both have the same base, we will add their power according to one of the law in indices as shown

10¹²  * 10⁻⁶ = 10⁻⁶⁺¹²

= 10⁶metres

b) The quotient of one terameter and one micrometer can be gotten by taking their ratio as shown below;

Note that when taking the quotient, the power are subtracted

= \frac{10^{12} }{10^{-6} } \\= 10^{12-(-6)}  \\= 10^{12+6} \\= 10^{18}metres

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