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Alex787 [66]
3 years ago
7

A triangle has side lengths of 19 centimetres, 19 centimetres, and 20 centimetres. Is this triangle equilateral?​

Mathematics
1 answer:
Sedbober [7]3 years ago
6 0

Answer:

no a equilateral triangle has the same length sides all the way around

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A roast turkey is taken from an oven when its temperature has reached 185 degrees F and is placed on a table in a room where the
Vedmedyk [2.9K]
(a) Using Newton's Law of Cooling, \dfrac{dT}{dt} = k(T - T_s), we have \dfrac{dT}{dt} = k(T - 75) where T is temperature after T minutes.
Separate by dividing both sides by T - 75 to get \dfrac{dT}{T - 75} = k dt. Integrate both sides to get \ln|T - 75| = kt + C.

Since T(0) = 185, we solve for C:
|185 - 75| = k(0) + C\ \Rightarrow\ C = \ln 110
So we get \ln|T - 75| = kt + \ln 110. Use T(30) = 150 to solve for k:
\ln| 150 - 75 | = 30k + \ln 110\ \Rightarrow\ \ln 75 - \ln 110= 30k \Rightarrow \\ k= \frac{1}{30}\ln (75/110) = \frac{1}{30}\ln(15/22)

So

\ln|T - 75| = kt + \ln 110 \Rightarrow |T - 75| = e^{kt + \ln110} \Rightarrow \\ \\
|T - 75| = 110e^{kt} \Rightarrow T - 75 = \pm110e^{(1/30)\ln(15/22)t}  \Rightarrow \\
T = 75 \pm110e^{(1/30)\ln(15/22)t}

But choose Positive because T > 75. Temp of turkey can't go under.

T(t) = 75 + 110e^{(1/30)\ln(15/22)t} \\
T(45) = 75 + 110e^{(1/30)\ln(15/22)(45)}  = 136.929 \approx 137{}^{\circ}F

(b)

T(t) = 75 + 110e^{(1/30)\ln(15/22)t} = 75 + 110(15/22)^{t/30}  \\
100 = 75 + 110(15/22)^{t/30}   \\
25 = 110(15/22)^{t/30}  
\frac{25}{110} = (15/22)^{t/30}   \\
\ln(25/110) / ln(15/22) = t/30 \\
t = 30\ln(25/110) / ln(15/22)  \approx 116\ \mathrm{min}

Dogs of the AMS.
4 0
3 years ago
HELP!!!!!!!!!!!
erica [24]
Your answer would be (b.) because -2+-3=-5

3 0
3 years ago
Read 2 more answers
Ma=np,for a is what<br>​
Julli [10]

Answer:

\displaystyle \frac{np}{m} = a

Step-by-step explanation:

You divide both sides by <em>m</em><em> </em>to get the above answer:

\displaystyle \frac{ma}{m} = \frac{np}{m} \\ \\ a = \frac{np}{m}

I am joyous to assist you anytime.

8 0
3 years ago
Would an experience downhill skier want the slope of the hill to be 1/10 or 9/10?  Why?<br><br>​
kolezko [41]

Answer:

9/10

Step-by-step explanation:

step 1

Compare the slopes

1/10=0.10

9/10=0.9

0.9 > 0.10

therefore

An experienced skier would like the 9/10 hill slope because it is steeper, while the 1/10 is a softer slope.

8 0
3 years ago
Plz answer correctly I don’t wanna fail plz answer!!!!!not much!!!!!!!
Triss [41]
I’m pretty sure yes it is
6 0
3 years ago
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