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Anastasy [175]
3 years ago
10

Estimate 102.3 divided by 4.7

Mathematics
2 answers:
lys-0071 [83]3 years ago
6 0

Answer:

The estimate result of 102.3 divided by 4.7 is 20.

Step-by-step explanation:

Given : 102.3 divided by 4.7

We have to estimate 102.3 divided by 4.7

Since, estimation is the roughly calculation and is usually involves rounding to the nearest values so that they are easy to cancel out.

Since, we have to divide,

102.3 divided by 4.7

Rounding 102.7 to nearest tens place , we get, 102. 7 = 100

And Rounding 4.7 to nearest  ones place, we get, 4.7 = 5

Thus, when divide 100 by 5 , we get 20.

Thus,  102.3 divided by 4.7 ≈ 20

Thus, The estimate result of 102.3 divided by 4.7 is 20.

qwelly [4]3 years ago
5 0

Answer:

20

Explanation:

To estimate, we round.  102.3 rounds to 100 and 4.7 rounds to 5; this means we divide 100/5, which is 20.

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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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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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