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vlabodo [156]
2 years ago
15

2. The lengths in centimeters of four line segments

Mathematics
1 answer:
STatiana [176]2 years ago
3 0

Answer:

I'm pretty sure it is √10, 3.12, 3.24, 31

Step-by-step explanation:

I don't know if you messed up but I got a question similar that is the length 31 in your quesion is actually 3 1/4 in my question. but i did the math and 31 is still the greatest number.

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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
slavikrds [6]

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

c. After 33 minutes of serving the coffee has cooled to 180°:

T(33)=122e^{33k}+68=180\\\\e^{33k}=\frac{112}{122}\\\\33k=Ln(\frac{112}{122})\\\\k=-0.00259

d.

150=122e^{-0.00259t}+68\\\\Ln(\frac{150-68}{122})=-0.00259t\\\\t=153.39838\\\\

8 0
3 years ago
How can the use of sine and cosine be helpful for determining what a triangle looks like?
blsea [12.9K]
The use of sine and cosine could give you the angle measuments of the triangle, along with the use of tangent. Not only could it give you the angle measurements but the lengths of the sides.
6 0
4 years ago
A water tank contains 12 1/2 ltres of water. Two-fifth of it was (1 mark) consumed. How much of it was left?
SVEN [57.7K]

Answer:

7 1/2

Step-by-step explanation:

A water tank contains 12 1/2 liters

= 25/2

Two fifth of it was consumedd

= 25/2 ×2/5

= 50/10

= 5

12.5-5

= 7.5

= 7 1/2

4 0
3 years ago
Deandre runs 6 miles in 42 minutes how many miles does he run per minute
Ipatiy [6.2K]
Hello there, and thank you for posting your question here on brainly.

You can find out how much he ran per minute (or mpm) by dividing 6 by 42.

42 / 6 = 7

He runs a mile every 7 minutes.

Hope this helped!! ☺♥
4 0
3 years ago
Read 2 more answers
Quadratic equation by factoring 6s²+18s=0
zheka24 [161]
S= -3 and 0 
6s²+18=0
6s(s+3)=0 
6s=0 s+3=0
s=0 and s= -3
7 0
3 years ago
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