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dalvyx [7]
2 years ago
7

Euclid Street branches out into Pythagoras Street and Hipparchus Street such that Pythagoras Street is perpendicular to Hipparch

us Street. On the right side, Pythagoras Street makes an angle of 150° with Euclid Street. Solve for the values of x, y,and z a shown in the figure.​

Mathematics
1 answer:
boyakko [2]2 years ago
4 0

Answer:

x=30 y=60 z=120

Step-by-step explanation:

euclid is 180° 180-150=30

x and y are at a 90° angle 90-30=60

the full circle is 360dgrees back around to euclid

180-60=120°

always look for 90°s or 180°s when doing these problems

hope this help buddy

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(1 point) Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference betw
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a. \frac{dT}{dt}=k(T-Tm); T(0)=190

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a. Newton's law of cooling states that the speed with which a body is cooled is proportional to the difference between its temperature and that of the medium in which it is found. Then, the initial value problem is given by:

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\frac{dT}{T-Tm}=kdt\\\\\int {\frac{dT}{T-Tm}}=\int{kdt}\\\\Ln|T-Tm|=kt+C\\\\T(t)=C_{0}e^{kt}+Tm=C_{0}e^{kt}+68\\\\T(0)=C_{0}e^{k(0)}+68=190\\\\C_{0}=122

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