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3 years ago

Write an equation to find the total dance , d, that Amy's family traveled after t hours

Mathematics

1 answer:

Ahat [919]3 years ago

7 0

Answer:

d=t

Step-by-step explanation:

no info given

assumption

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Two angles are supplementary. The larger angle is 33 degrees more than 6 times the smaller angle. Find the measure of each angle

noname [10]

Sum of two angles that are supplementary = 180°

Let the smaller angle be = x

$Let \: the \: smaller \: angle \: be \: = \: x$

$then \: the \: larger \: angle \: = 6x + 33$

<h3>Their sum :</h3>

$x + 6x + 33 = 180$

$7x + 33 = 180$

$7x = 180 - 33$

$7x = 147$

$x = \frac{147}{7}$

$x = 21$

Using this let us find the measures of the smaller angle and bigger angle .

$smaller \: angle \: = x = 21°$

$larger \: angle \: = 6x + 33 = 6 \times 21 + 33 = 126 + 33 = 159°$

∴ The measure of the two angles are = 21° and 159° .

3 0

3 years ago

Fraction less than 5/6 with a denominator of 8

e-lub [12.9K]

7/8 is the answer hope this helps

8 0

3 years ago

Hi, teacher I was absent these days and I didn’t understand anything about this lesson and I need help this is not count as a te

motikmotik

Given:

There are given that the cos function:

$cos210^{\circ}=-\frac{\sqrt{3}}{2}$

Explanation:

To find the value, first, we need to use the half-angle formula:

So,

From the half-angle formula:

$cos(\frac{\theta}{2})=\pm\sqrt{\frac{1+cos\theta}{2}}$

Then,

Since 105 degrees is the 2nd quadrant so cosine is negative

Then,

By the formula:

$\begin{gathered} cos(105^{\circ})=cos(\frac{210^{\circ}}{2}) \\ =-\sqrt{\frac{1+cos(210)}{2}} \end{gathered}$

Then,

Put the value of cos210 degrees into the above function:

So,

$\begin{gathered} cos(105^{\circ})=-\sqrt{\frac{1+cos(210)}{2}} \\ cos(105^{\operatorname{\circ}})=-\sqrt{\frac{1-\frac{\sqrt{3}}{2}}{2}} \\ cos(105^{\circ})=-\sqrt{\frac{2-\sqrt{3}}{4}} \\ cos(105^{\circ})=-\frac{\sqrt{2-\sqrt{3}}}{2} \end{gathered}$

Final answer:

Hence, the value of the cos(105) is shown below: