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2 years ago

Please help and also include an explanation so I know how you got the answer.

Mathematics

2 answers:

geniusboy [140]2 years ago

7 0

Answer:

x=15

Step-by-step explanation:

I gotcha bro

The line C is straight and straight lines are 180°

so 180° = 4x + 8x = 12x ----> 180 = 12x ---> then divide both sides by 12

180/12 = 15 and 12x/12 = x

so 15 = x or x = 15

Nastasia [14]2 years ago

4 0

Answer:

x = 15

Step-by-step explanation:

We know that 4x° + 8x° make a straight angle of 180°.

4x° + 8x° = 180°

12x° = 180°

12x = 180

x = 180/12 = 15

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Answer:

a. $\frac{dT}{dt}=k(T-Tm); T(0)=190$

b. $C_{0}=122$

c. $k=-0.00259$

d. $t=153.39838\\$ minutos

Step-by-step explanation:

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:

$Tm=68$

$\frac{dT}{dt}=k(T-Tm); T(0)=190$

b. The differential equation obtained is a differential equation of separable variables:

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