Simplify the following cos(-x)tanx

1 answer:

8 0

$\bf \textit{symmetry identites}\\\\
cos(-\theta)=cos(\theta)\\\\
-----------------------------\\\\
cos(-x)tan(x)\implies cos(-x)\cdot \cfrac{sin(x)}{cos(x)}\\\\\\ cos(x)\cdot \cfrac{sin(x)}{cos(x)}\implies sin(x)$

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9 is the geometric mean between 4 and which other number?

KonstantinChe [14]

Answer is A. 20.25

cause 20.25 x 9 = 81
√81 = 9
so 9 is the geometric mean <span>between 4 and 20.25</span>

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3 years ago

8% of what number is 2?

azamat

Answer:

The number is 25

Step-by-step explanation:

Is means equals and of means multiply

8% *N = 2

Change to decimal form

.08 N =2

Divide by .08

.08N/.08 = 2/.08

N =25

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3 years ago

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Darin can purchase tile at a store for 0.79 per tile and rent a tile saw for $24. At another store, he can borrow the tile saw f

ankoles [38]

Let us denote the number of tiles by $T$ .

In the first store, if Darin bought $T$ tiles, he would need to spend:
                        $0.79\times T+24$ (measured in $)

In the second store, if Darin bought $T$ tiles, he would need to spend:
                        $1.19\times T$ (measured in $)

For the cost to be the same at both stores, it means (measured in $)
                                           $1.19T=0.79T+24$

Moving $0.79T$ over to the left hand side and changing signs:
                                            $1.19T-0.79T=24$
                                            $0.4T=24$
                                            $T= \frac{24}{0.4}$
                                            $T=60$ tiles

Let's check. If he buys 60 tiles in the first store, he spends:
      $0.79×60 + $24 = $47.40 + $24 = $71.40

If he buys 60 tiles in the second store, he spends:
                               $1.19×60 = $71.40

∴ Darin needs to buy 60 tiles for the cost to be the same at both stores.

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3 years ago

The function ƒ(x) = 2x is vertically translated 5 units down and then reflected across the y-axis. What's the new function of g(

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Answer:

g(x) = -2x - 5

2x becomes -2x as a reflection across the y-axis

add on -5 to shift the function 5 units down

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3 years ago

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