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Vika [28.1K]
3 years ago
10

The measure of an angle is 27°. What is the measure of its supplementary angle?

Mathematics
1 answer:
Leya [2.2K]3 years ago
3 0

Answer:

153 degrees is the measure of the supplementary angle

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Using Newton's Law of Cooling. You are a medical examiner called to an abandoned house in which a dead body has been discovered.
Artyom0805 [142]
A) The differential equation comes from the fact that the rate of temperature change is proportional to the difference in temperatures.
\frac{dT}{dt} = \alpha(T -52)

B) Find general solution by separating variables and integrating\int\frac{dT}{T-52} = \alpha \int dt   \\  ln (T-52) = \alpha t + C  \\  T = C e^{\alpha t} +52:


C) Initial condition is t=0, T = 87
87 = C +52 \\  C = 35

D) Total time elapsed is 10 minutes, new temperature is 84
84 = 35 e^{10\alpha} +52
solve for alpha
e^{10\alpha} =\frac{32}{35}  \\  \alpha = \frac{ln(32/35)}{10} \\  \alpha = -.00896

E) Temperature function is:
T = 35 e^{-.00896 t} +52
solving for t
t = \frac{ln (\frac{T-52}{35})}{-.00896}
Plug in T = 98.6
t = -31.95

This is approximately 32 minutes before he arrived or about 1:20 AM
3 0
2 years ago
How do you solve this problem
djyliett [7]

Answer: Undefined

Step-by-step explanation:

For this problem, we know that 3ˣ=-9. All we have to do is figure out what x is.

We know that any integer raised to the power cannot be negative. The closest answer we can get is x=2 because 3²=9. Unfortunately, we are looking for -9. Therefore, this x is undefined.

3 0
3 years ago
(-0.75+6)-1(2.5x+-1.9
fenix001 [56]

Simplifying

(0.75x + 6) + -1(2.5x + -1.9) = 0


Reorder the terms:

(6 + 0.75x) + -1(2.5x + -1.9) = 0


Remove parenthesis around (6 + 0.75x)

6 + 0.75x + -1(2.5x + -1.9) = 0


Reorder the terms:

6 + 0.75x + -1(-1.9 + 2.5x) = 0

6 + 0.75x + (-1.9 * -1 + 2.5x * -1) = 0

6 + 0.75x + (1.9 + -2.5x) = 0


Reorder the terms:

6 + 1.9 + 0.75x + -2.5x = 0


Combine like terms: 6 + 1.9 = 7.9

7.9 + 0.75x + -2.5x = 0


Combine like terms: 0.75x + -2.5x = -1.75x

7.9 + -1.75x = 0


Solving

7.9 + -1.75x = 0


Solving for variable 'x'.


Move all terms containing x to the left, all other terms to the right.


Add '-7.9' to each side of the equation.

7.9 + -7.9 + -1.75x = 0 + -7.9


Combine like terms: 7.9 + -7.9 = 0.0

0.0 + -1.75x = 0 + -7.9

-1.75x = 0 + -7.9


Combine like terms: 0 + -7.9 = -7.9

-1.75x = -7.9


Divide each side by '-1.75'.

x = 4.514285714


Simplifying

x = 4.514285714

5 0
3 years ago
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What is the missing value ?
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Y=30..................
7 0
3 years ago
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