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NNADVOKAT [17]
3 years ago
15

Simplify. (1/2)^2−6(2−2/3)

Mathematics
1 answer:
Elena L [17]3 years ago
7 0

Answer:

Exact form : -31/4

Decimal form: -7.75

mixed number form: -7(3/4)

Step-by-step explanation:

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15$ is the answer! :)
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3 years ago
Assume that the terminal side of thetaθ passes through the point (negative 12 comma 5 )(−12,5) and find the values of trigonomet
zmey [24]

Answer:

\sin \theta = \dfrac{5}{13} and \sec \theta = -\dfrac{13}{12}

Step-by-step explanation:

Assume that the terminal side of thetaθ passes through the point (−12,5).

In ordered pair (-12,5), x-intercept is negative and y-intercept is positive. It means the point lies in 2nd quadrant.

Using Pythagoras theorem:

hypotenuse^2=perpendicular^2+base^2

hypotenuse^2=(5)^2+(12)^2

hypotenuse^2=25+144

hypotenuse^2=169

Taking square root on both sides.

hypotenuse=13

In a right angled triangle

\sin \theta = \dfrac{opposite}{hypotenuse}

\sin \theta = \dfrac{5}{13}

\sec \theta = \dfrac{hypotenuse}{adjacent}

\sec \theta = \dfrac{13}{12}

In second quadrant only sine and cosecant are positive.

\sin \theta = \dfrac{5}{13} and \sec \theta = -\dfrac{13}{12}

6 0
4 years ago
There are 10 men and 14 women in.Kthleen's math class.what is the ratio of women to the total number of students in the class?
ahrayia [7]

The ratio can be determined as,

\begin{gathered} \text{Ratio}=\frac{14}{10+14} \\ =\frac{14}{24} \\ =\frac{7}{12} \end{gathered}

Thus, the requried ratio is 7:12.

3 0
1 year ago
Plsplsplsplsplsplspls help!!!!!!!!
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Answer:

1. My estamite, close to -1

2. 1.5

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Step-by-step explanation:


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3 years ago
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Answer:

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3 years ago
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