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Ksivusya [100]
4 years ago
7

The local hardware store wants to increase their inventory. last year 15 electric screwdrivers cost them $300. at the same cost,

how much would 45 screwdrivers cost them this year?
Mathematics
1 answer:
VMariaS [17]4 years ago
3 0

Answer:

Cost of 45 screwdrivers will be = $900

Step-by-step explanation:

Last year 15 electric screwdrivers cost to the local hardware store = $300

So per screwdriver cost = \frac{\text{Total cost}}{\text{Total number of screw drivers}}

= \frac{300}{15}

= $20

Now we have to calculate the cost of 45 screw drivers.

Since cost of 1 screwdriver = $20

So cost of 45 screwdrivers = 20×45 = $900

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Calculate cos(480°) and sin(480°).
hram777 [196]

Answer:

\cos(480^\circ)=-\dfrac{1}{2}

\sin(480^\circ)=\dfrac{\sqrt{3}}{2}

Step-by-step explanation:

Calculate the value of trigonometry function.

\cos(480^\circ) and \sin(480^\circ)

Split the angle between 0 to 90° using trigonometry formula.

\Rightarrow \cos(360^\circ+120^\circ)  

\Rightarrow \cos(120^\circ)                \because \cos(360+\theta)=\cos\theta

\Rightarrow \cos(180^\circ-60^\circ)             \because 120=180-60

\Rightarrow -\cos(60^\circ)                       \because \cos(180-\theta)=-\cos\theta

\Rightarrow -\dfrac{1}{2}

Therefore, cos(480°) = -0.5

\Rightarrow \sin(360^\circ+120^\circ)  

\Rightarrow \sin(120^\circ)                \because \sin(360+\theta)=\sin\theta

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\Rightarrow \sin(60^\circ)                       \because \sin(180-\theta)=\sin\theta

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