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Luden [163]
3 years ago
15

Jackie correctly solved this equation:

Mathematics
2 answers:
iragen [17]3 years ago
5 0

Answer:

answer is A

Step-by-step explanation:

took the test :)

Dennis_Churaev [7]3 years ago
4 0

Answer:

(C)

Step-by-step explanation:

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Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature varies between 73 and 9
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

where, A =  amplitude; \omega=\dfrac{2\pi}{period} ,  α= phase shift on the Y-axis and C = midline.

As per given,

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

A=  97-85 = 12

Phase shift: \alpha=10

Period = 24 hours;

\omega=\dfrac{2\pi}{24}=\dfrac{\pi}{12}

Substitute all values in sinusoidal function, we get

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

Hence, After about 9.03 hours the temperature first reach 82 degrees.

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3 years ago
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Answer:

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Step-by-step explanation:

They are on the same line.

4 0
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Answer:

Here is the full proof:

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DC ⊥ AD                    Given

∠ADC = 90°               Definition of perpendicular lines

BC ⊥ AB                    Given

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∠ADC ≅ ∠ABC          Right angles are congruent

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Write an equation that expresses the following relationship.
stepladder [879]

Answer:

w = \frac{ku}{d^{2} }

Step-by-step explanation:

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3 years ago
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Ratio in simplest form 8 pounds to 10 pounds
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4:5

Step-by-step explanation:

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