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1 year ago

If the measure of angle is 0 is7x/4, which statements are true?

Mathematics

2 answers:

gayaneshka [121]1 year ago

5 0

Answer:

a) The measure of the reference angle is 45°

Step-by-step explanation:

Reference angle:

$\sf \dfrac{7\pi }{4} \ is \ in \ the \ fourth \ quadrant.\\\\ \text{Reference angle = 2$\pi - \theta$}\\$

$\sf =2\pi -\dfrac{7\pi }{4}\\\\ =\dfrac{8\pi }{4}-\dfrac{7\pi }{4}\\\\= \dfrac{\pi }{4}\\\\=\dfrac{180}{4}\\\\$

= 45°

Aleonysh [2.5K]1 year ago

4 0

Answer:

See below

Step-by-step explanation:

As the other answerer posted : the reference angle is 45 °

<u>ALSO</u> tan = -1 and sin = - sqrt(2) / 2

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Solve the simultaneous equations<br> x + 7y = 15<br> x + 2y = 5

Juliette [100K]

Answer:

x=1, y=2

Step-by-step explanation:

x + 7y = 15

x + 2y = 5

Subtract the two equations

x + 7y = 15

-x - 2y =- 5

------------------------

0x +5y = 10

Divide by 5

5y/5 = 10/5

y =2

Now find x

x+2y = 5

x +2(2) = 5

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Subtract 4 from each side

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3 years ago

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Determine whether set of values represents an inverse variation. If yes, identify the constant of variation and write an inverse

Natasha_Volkova [10]

SOLUTION

If the table represents an inverse variation, it means that y is inversely proportional to x, written as

$\begin{gathered} y\propto\frac{1}{x} \\ \propto is\text{ a sign of proportionality } \end{gathered}$

Removing the proportionality sign and introducing a constant k, we have

$\begin{gathered} y=k\times\frac{1}{x} \\ y=\frac{k}{x} \end{gathered}$

In the first column, we have x = -4 and y = 3.5. Substituting these values for x and y, we have

$\begin{gathered} y=\frac{k}{x} \\ 3.5=\frac{k}{-4} \\ k=3.5\times-4 \\ k=-14 \end{gathered}$

So, if it's an inverse variation, the relationship would be

$y=\frac{-14}{x}$

In the second column, x = -2 and y = 7.

Now lets substitute the value of x for -2. If we get y to be 7, then the relationship is an inverse variation

We have

$\begin{gathered} y=\frac{-14}{x} \\ y=\frac{-14}{-2} \\ y=7 \end{gathered}$

Since we got y = 7, the relationship is therefore an inverse variation.

The constant k = -14

The equation for the inverse variation is

$y=\frac{-14}{x}$

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1 year ago

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vitfil [10]

Answer:

5,000

Step-by-step explanation:

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3 years ago

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Anon25 [30]

Five is 11 and negative 11 because double negative equals a positive

3 0

3 years ago

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In the diagram, JOK and MON are straight lines. Angle NOP and Angle NOQ are complimentary angles. Calculate the value of x - y.

Pepsi [2]

Answer:

x - y = 118

Step-by-step explanation:

Since ∠ NOP and ∠ NOQ are complimentary then ∠ POQ = 90°

Since JOK is a straight line then

∠ JOP + ∠ POQ + ∠ QOK = 180 , that is

76 + 90 + y = 180

166 + y = 180 ( subtract 166 from both sides )

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Since MON is a straight line then

∠ MOK + ∠ KOQ + ∠ QON = 180, that is

x + 14 + 34 = 180

x + 48 = 180 ( subtract 48 from both sides )

x = 132

Thus

x - y = 132 - 14 = 118

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3 years ago