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jasenka [17]
2 years ago
7

|1/2- x/3|=5/6. Solve for x. There is (most likely) 2 answers

Mathematics
1 answer:
ira [324]2 years ago
4 0

Answer:

Ans is -1

Step-by-step explanation:

Hope the picture will help you..

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In △ABC, m∠A=16°, m∠B=49°, and a=4. Find c to the nearest tenth.
xenn [34]

Answer:

= 8.33 inches

Step-by-step Explanation

First add 49 + 16, which equals 65, and subtract that result from 180, since a triangle equals 180 degrees and you find out angle C is equal to 115 degrees.

Now using the formula sinA/a = sinB/b = sinC/c, plug in values and you'd get the equation sin49 x 10/sin115. After solving the equation you'd get about  8.32729886047258 inches.

= 8.33

7 0
3 years ago
Read 2 more answers
At 2 PM, a thermometer reading 80°F is taken outside where the air temperature is 20°F. At 2:03 PM, the temperature reading yiel
Alexeev081 [22]
Use Law of Cooling:
T(t) = (T_0 - T_A)e^{-kt} +T_A
T0 = initial temperature, TA = ambient or final temperature

First solve for k using given info, T(3) = 42
42 = (80-20)e^{-3k} +20 \\  \\ e^{-3k} = \frac{22}{60}=\frac{11}{30} \\  \\ k = -\frac{1}{3} ln (\frac{11}{30})

Substituting k back into cooling equation gives:
T(t) = 60(\frac{11}{30})^{t/3} + 20

At some time "t", it is brought back inside at temperature "x".
We know that temperature goes back up to 71 at 2:10 so the time it is inside is 10-t, where t is time that it had been outside.
The new cooling equation for when its back inside is:
T(t) = (x-80)(\frac{11}{30})^{t/3} + 80 \\  \\ 71 = (x-80)(\frac{11}{30})^{\frac{10-t}{3}} + 80
Solve for x:
x = -9(\frac{11}{30})^{\frac{t-10}{3}} + 80
Sub back into original cooling equation, x = T(t)
-9(\frac{11}{30})^{\frac{t-10}{3}} + 80 = 60 (\frac{11}{30})^{t/3} +20
Solve for t:
60 (\frac{11}{30})^{t/3} +9(\frac{11}{30})^{\frac{-10}{3}}(\frac{11}{30})^{t/3}  = 60 \\  \\  (\frac{11}{30})^{t/3} = \frac{60}{60+9(\frac{11}{30})^{\frac{-10}{3}}} \\  \\  \\ t = 3(\frac{ln(\frac{60}{60+9(\frac{11}{30})^{\frac{-10}{3}}})}{ln (\frac{11}{30})}) \\  \\ \\  t = 4.959

This means the exact time it was brought indoors was about 2.5 seconds before 2:05 PM
8 0
3 years ago
Help please and thank you
lara [203]
Cannot be determined.
Area or perimeter should be provided to calculate the lenght but its not.
8 0
3 years ago
Grade 8 math question plz show work
Nimfa-mama [501]
A. The population would be 120

You would find 20 percent of 100
To do that, you do 100× 0.2 and add that to 100

B. The population doubles

10×2= 20
20×2= 40, not 30

hope this helps!
6 0
3 years ago
Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (6,-8) midpoint: (-1,7)
zaharov [31]
Hope this helps. Look at attachment

6 0
3 years ago
Read 2 more answers
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