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Bezzdna [24]
3 years ago
5

roland Purchasing pottery supplies for pottery class he buys a portable pottery wheel for $382 modeling clay for $12 and a potte

ry tool set for 16.14. If the tax rate is 8.25% find the total tax you paid then find the total cost of his purchases
Mathematics
1 answer:
Anon25 [30]3 years ago
7 0
Hello!

First you have to find the total of the items he bought

382 + 12 + 6.14 = 400.14

Then you apply the tax rate

400.14 * 1.0825 = 433.15155

We round this to 433.15

The answer is $433.15

Hope this helps!
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Step-by-step explanation:

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Someone has a Visa Card with an annual percentage rate of 16.8​%. The unpaid balance for his June billing cycle is ​$1009.49. Du
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Can anybody show me how to do this half angle identity problem STEP BY STEP? I always seem to be missing something
klio [65]

Answer:   \bold{-\dfrac{7\sqrt2}{10}}

<u>Step-by-step explanation:</u>

It is given that θ is between 270° and 360°, which means that θ is located in Quadrant IV ⇒ (x > 0, y < 0).  Furthermore, the half-angle will be between 135° and 180°, which means the half-angle is in Quadrant II ⇒ cos\ \dfrac{\theta}{2}

It is given that sin θ = -\dfrac{7}{25}  ⇒  y = -7 & hyp = 25

Use Pythagorean Theorem to find "x":

x² + y² = hyp²

x² + (-7)² = 25²

x² + 49 = 625

x²         = 576

      x   =  24    

Use the "x" and "hyp" values to find cos θ:

cos\ \theta=\dfrac{x}{hyp}=\dfrac{24}{25}    


Lastly, input cos θ into the half angle formula:

cos\bigg(\dfrac{\theta}{2}\bigg)=\pm \sqrt{\dfrac{1+cos\ \theta}{2}}\\\\\\.\qquad \quad =\pm \sqrt{\dfrac{1+\dfrac{24}{25}}{2}}\\\\\\.\qquad \quad =\pm \sqrt{\dfrac{\dfrac{25}{25}+\dfrac{24}{25}}{2}}\\\\\\.\qquad \quad =\pm \sqrt{\dfrac{\dfrac{49}{25}}{2}}\\\\\\.\qquad \quad =\pm \sqrt{\dfrac{49}{50}}\\\\\\.\qquad \quad =\pm \dfrac{7}{5\sqrt2}}\\\\\\.\qquad \quad =\pm \dfrac{7}{5\sqrt2}}\bigg(\dfrac{\sqrt2}{\sqrt2}\bigg)\\\\\\.\qquad \quad =\pm \dfrac{7\sqrt2}{10}

Reminder: We previously determined that the half-angle will be negative.

6 0
3 years ago
suppose that a certain basketball athlete earned $23,000,000 to play 80 games, each last 48 min. how much did the athlete earn p
Anit [1.1K]
He earns 23 000 000 per 80 games for 48min
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If he played 2/3 of the time he played 32min which means he earned...

782500 \div 32 = 24453.125
So he trained 35hours for a 48min match
Together that is 35.8hours

But I dont think this really matters here you just have to multiply 24453.125 with 60

And you get his hourly salary which is 1 467 187.5

5 0
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Answer:

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