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Mathematics

2 answers:

bekas [8.4K]2 years ago

7 0

Answer:

Step-by-step explanation:

An arc's measurement is always twice the amount of its angle.

40 x 2 = 80

Tamiku [17]2 years ago

4 0

Answer:

80°

Step-by-step explanation:

Just multiply 40° by 2 to get the arc

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choli [55]

Divide distance by time:

10.5 inches / 3 seconds = 3.5 inches per second

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1 year ago

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Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference between its te

Aleonysh [2.5K]

Answer:

t=5.18 minute

Step-by-step explanation:

Using Newton's law of cooling

$\frac{dT}{dt}=-k(T-T_{s})$

T is temperature of a cup of coffee at any time t $T_{s}$ , is the temperature of the surrounding and k is a constant of proportionality in this negative because temperature is decreasing.

$T(0)=190\\T(1)=170\\T_{s}=66$

$\frac{dT}{dt}=-k(T-T_{s})\\\frac{dT}{(T-T_{s})}=-k*dt\\\int\limits {\frac{1}{T-T_{s} } } \, dT=-\int\limits {k} \, dt\\ln(T-T_{s})=k*t+C\\e*ln(T-T_{s})=e^{k*t+C} \\T-T_{s}=e^{k*t}*e^{C}\\e^{C}=C\\T-T_{s}=e^{k*t}*C\\T=T_{s}+e^{k*t}*C$