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Leto [7]
3 years ago
12

PLEASE HELP!! k is between points s and t. sk = 23 and kt=13. what is st? ___ Units

Mathematics
2 answers:
BlackZzzverrR [31]3 years ago
7 0

Answer: ST = 36

Step-by-step explanation:

The Segment Addition Postulate states that SK + KT = ST

SK = 23

KT = 13

23 + 13 = 36

ST = 36

vaieri [72.5K]3 years ago
4 0

Answer:

36

Step-by-step explanation:

23+13 because it's the length of both the lines

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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

To find constant knowing the time and the temperature the first step of the change of energy in cup of coffee

T=T_{s} +e^{-k*t}*C\\ C=190-66=124\\170=66+124*e^{-k*2}\\ 170-66=124*e^{-k*2}\\ln(\frac{104}{124})=ln*e^{-k*2}\\-0.175=-k*2\\k=0.08794

Now using the constant of decreasing can find the time to be a 145 temperature the cup of coffee

145=66+124*e^{-k*t} \\145-66=124*^{-0.087*t}

ln(0.637)=ln*e(-0.087*t)\\-0.45=-0.087*t\\t=5.18minutes

4 0
3 years ago
Find a, for the sequence 0.5, 3.5, 24.5,<br> 171.5.
antiseptic1488 [7]
The numbers are being multiplied by 7

.5 • 7 = 3.5
3.5 • 7 = 24.5
24.5 • 7 = 171.5
etc
8 0
3 years ago
Solve the system x-z=5, 2x+y= 7, y+3z=12
Wewaii [24]
x,z,y = 20,15,-33

i think thats it im sorry
7 0
3 years ago
A sphere has a volume of approximately 113 cubic units. Which of the following best represents the radius of the sphere?
Kitty [74]

Answer:

H. 3 units

Step-by-step explanation:

In order to answer this question, we have to apply the formula for the sphere volume. The formula is:

V=\frac{4}{3} \pi r^{3}

Plugging the given number into V, we calculate that:

113 = \frac{4}{3}\pi r^{3}\\84.75 = \pi r^{3}   \\

If π=3.14, the radius is:

r ≈ 3 units.

4 0
3 years ago
3.<br><br><br> A. 0.052%<br><br> B. 5.2%<br><br> C. 5.4%<br><br> D. 105%
mylen [45]
I believe it is B :)
5 0
3 years ago
Read 2 more answers
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