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ch4aika [34]
3 years ago
7

It cost $5.25 for a bottle of 150 vitamins. if the cost varies directly with the number of vitamins in the bottle, what should a

bottle of 250 vitamins cost? and what is the equation?
please explain if you could
Mathematics
1 answer:
uysha [10]3 years ago
4 0
$5.25 / 150 gets you the price per vitamin, $.035 (3.5 cents). Then you can multiply this by 250 for the price of a 250 bottle, $8.75.
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Naddika [18.5K]

Answer: After about 9.03 hours the temperature first reach 82 degrees.

Step-by-step explanation:

The sinusoidal function is given by :

y=A\sin[\omega(x-\alpha)]+C

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As per given,

Average daily temperature= C=\dfrac{73+97}{2}=85   [midline is average of upper and lower limit.]

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y=12\sin[\dfrac{\pi}{12}(x-10)]+85

Put y= 82, we get

82=12\sin[\dfrac{\pi}{12}(x-10)]+85\\\\\Rightarrow\ -3= 12\sin[\dfrac{\pi}{12}(x-10)]\\\\=\dfrac{-1}{4}= \sin[\dfrac{\pi}{12}(x-10)]\\\\\Rightarrow\ \dfrac{\pi}{12}(x-10)=\sin^{-1}(\dfrac{-1}{4})\\\\\Rightarrow\ x-10=\dfrac{12}{\pi}(\sin^{-1}(\dfrac{-1}{4}))\\\\\Rightarrow\ x=\dfrac{12}{\pi}(\sin^{-1}(\dfrac{-1}{4}))+10\\\Rightarrow\ x\approx9.03

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3 0
3 years ago
Can someone help me?
Ne4ueva [31]

Answer:

Step-by-step explanation:

All the interior angles are of measure 60 degrees.

We want to find the height of this triangle.  Call it h.  On the left side of this illustration is a right triangle with height h and base (1/2)(10), or 5.

The ratio of height to base is the tangent of 60 degrees:

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tan 60 degrees = --------------

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                                                  h

and tan 60 degrees = 1.73  = ------

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Multiplying both sides of this equation by 5 yields h = 8.66.  This is |BD|.  This is the same as Answer B.

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Answer:

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