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Nataly [62]
3 years ago
6

Find the measure of

Mathematics
1 answer:
Bumek [7]3 years ago
5 0

Answer:

80 I THINK, SORRY IF NOT RIGHT

Step-by-step explanation:

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What is the answer to > solve 4cos (theta/3) -2 = 0, over [0, 4pi)
Vesna [10]

Hello from MrBillDoesMath!

Answer:  

@ =   pi/3 (or 60 degrees) or @ = 7 pi/3 (or 420 degrees)


Discussion:

Let "@' denote the angle "theta". We are asked to find @ in the interval [0, 4 pi)

where

4cos(@) - 2 = 0.                Adding 2 to both sides

4 cos(@) - 2 +2 = 2  =>

4 cos(@) = 2                     Divide both sides by 4

cos(@) = 2/4 = 0.5


This implies that @ =   pi/3 (or 60 degrees) or @ = (pi/3 + 2pi) = 7 pi/3 (or 420 degrees)


Thank you,

MrB

5 0
3 years ago
Choose the correct simplification of the expression ( 4x/y)^2.
erik [133]

\large\displaystyle\text{$\begin{gathered}\sf \left(\frac{4x}{y}\right)^{2}   \end{gathered}$}

To raise 4x/y to a power, raise the numerator and denominator to the power, and then divide.

\large\displaystyle\text{$\begin{gathered}\sf \frac{(4x)^{2} }{y^{2} }  \end{gathered}$}

Expand (4x)².

\large\displaystyle\text{$\begin{gathered}\sf \frac{4^{2} x^{2} }{y^{2} }  \end{gathered}$}

Calculates 4 to the power of 2 and gets 16.

\boxed{\large\displaystyle\text{$\begin{gathered}\sf \frac{16x^{2} }{y^{2} }  \end{gathered}$} }

6 0
1 year ago
Determine whether the graph shows a positive correlation, a negative correlation, or no correlation. If there is a positive or n
e-lub [12.9K]

Answer:

A

Step-by-step explanation:

6 0
3 years ago
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On the freeway, it is unsafe to drive too slowly or too quickly. The safest driving speeds on the freeway near Allan’s town were
meriva

Answer:

59.0 miles per hour

Step-by-step explanation:

When you have an equation with an absolute value, you must consider two options: one with a positive result and another one with a negative result.

x-55 = 4.2\\x = 4.2 + 55\\x = 59.2\\\\And\\\\x-55 = -4.2\\x=-4.2 + 55\\x = 50.8

In this case you need the maximum safe driving speed which is 59.2 miles per hour

8 0
3 years ago
Please Help! Which of the following equations, when graphed, results in the parabola depicted above? (I'll put a screenshot of t
kykrilka [37]

Answer:

B.

Step-by-step explanation:

The zeroes are 0 and 4 and the vertex is at (2, -4).

f(x) = (x - 2)^2 - 4

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