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Virty [35]
2 years ago
15

Give the angle measure represented by 36.25 rotations counterclockwise

Mathematics
1 answer:
liq [111]2 years ago
4 0
You could say 360(36.25)=13050° but all of the trigonometric relationships will still just obey that angle which is the fractional part because each rotation returns you to the positive x axis.  The resulting angle is just .25(360)=90°.

So 13050° is the total angular rotation and 90° is the relative position with respect to the starting point.
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Answer:

The given equation is:

f(m) = 3(1.09)^m

where 'f(m)' represents the length of the fish after 'm' months.

Domain is considered as a set of all values of input. In this question, the input is number of months. The input should starts at 0 which will show the initial height and then as the number 'm' increases, the value of f(m) also increases.

Thus, the domain can be defined as m ≥ 0

y-intercept occurs at m=0. It means the height of the fish after 0 months, which can also be considered as initial height.

Calculate the value of function for m=2 and m=8

For m=2, f(2) = 3.564

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6 0
2 years ago
A coach purchases 47 hats for his players and their families at a total cost of $302. The cost of a small hat is $5.50. A medium
frosja888 [35]

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of small hat purchased, y represent the number of medium hat purchased and z represent the number of large hat purchased.

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x + y + z = 47    (1)

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Represent equations 1, 2 and 3 in matrix form gives:

\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] ^{-1} \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}6\\18\\23\end{array}\right]

Therefore he purchases 6 small hats, 18 medium hats and 23 large hats

5 0
2 years ago
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