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iren [92.7K]
3 years ago
8

Last year Kaitlin opened an investment account with $7600. At the end of the year, the amount in the account had increased by 6.

5%. How much is this increase in dollars? How much money was in her account at the end of the year
Mathematics
1 answer:
Doss [256]3 years ago
7 0

The increase was: 494

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Draw and classify the polygon with the given vertices. Find the perimeter and the area of the polygon. M(-2,5), N(3,-2), P(-2,-2
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Answer:

<em>Perimeter = 20.6cm  to 1dp  = 20.60cm to 2dp</em>

<em>Area = Base = 8.6/2 = 4.3 x 4.069  = 17.5cm^2</em>

<em>Height is found 4.07  cos( 54.47deg) 5/8.6 = 4.069cm</em>

Step-by-step explanation:

<em>Right angle side triangle, sides </em>

<em>= MN =8.6cm </em>

<em>= NP=5cm </em>

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<em>= 25sq + 49sq = 74sq</em>

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<em>P = 8.6 + 5 + 7 = 20.6cm </em>

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Mark the statements that are true.
lara [203]

Answer:

Correct answers:

A. An angle that measures \frac{\pi}{6}  radians also measures  30^o

C. An angle that measures 180^o  also measures \pi  radians

Step-by-step explanation:

Recall the formula to transform radians to degrees and vice-versa:

\angle\,radians=\frac{\pi}{180^o} \,* \,\angle degrees\\  \\\angle\,degrees=\frac{180^o}{\pi} \,* \,\angle radians

Therefore we can investigate each of the statements, and find that when we have a \frac{\pi}{6}  radians angle, then its degree formula becomes:

\angle\,degrees=\frac{180^o}{\pi} \,* \,\angle radians\\\angle\,degrees=\frac{180^o}{\pi} \,* \,\frac{\pi}{6} \\\angle\,degrees=\frac{180^o}{6} \\\angle\,degrees=30^o

also when an angle measures 180^o  , its radian measure is:

\angle\,radians=\frac{\pi}{180^o} \,* \,\angle degrees\\\angle\,radians=\frac{\pi}{180^o} \,* \,180^o\\\angle\,radians=\pi

The other relationships are not true as per the conversion formulas

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