The sum of the inside angles of a 5 sided figure needs to equal 540 degrees.
Add all the angles together to equal 540 and solve for x. Once you have the value for x you can use that to figure out all the angles.
X-8 + 3x-11 + x + 8 + 2x + 7 + x = 540
Simplify by combing like terms:
8x - 4 = 540
Add 4 to both sides:
8x = 544
Divide both sides by 8:
X = 68
Now replace x with 68 in each angle and solve:
U = 68-8 = 60
V = 3(68)-11 = 204-11 = 193
W = 68 + 8 = 76
Y = 68
Z = 2(68) + 7 = 136 + 7 = 143
Answer:
Time of Death = 2 : 49 : 45 AM
Step-by-step explanation:
The formula for Newton's Law of Cooling is written as follows:
dT/dt = - K(T - Ts)
where,
dT = change in temperature
dt = time interval
K = cooling constant
T = Final Temperature of object
Ts = Surrounding Temperature
First, we will use the data of cooling of body from 28°C to 27°C to find the cooling constant of the body:
dT = 27°C - 28°C = -1°C
dt = 1 hr = 3600 s
K = ?
T = 27°C
Ts = 22°C
Therefore,
-1 °C/3600 s = - K(27 °C - 22 °C)
K = 1 °C/(3600 s)(5 °C)
K = 5.55 x 10⁻⁵ /s
Now, we use data for cooling of body from 37 °C to 28 °C to find the time of death:
dT = 28°C - 37°C = -5°C
dt = ?
K = 5.55 x 10⁻⁵ /s
T = 28°C
Ts = 22°C
Therefore,
- 5 °C/dt = - (5.55 x 10⁻⁵ /s)(28 °C - 22 °C)
dt = 5 °C/(5.55 x 10⁻⁵ /s)(6 °C)
dt = 1.5 x 10⁴ s
dt = 4.17 h = 4 h 10 min 15 s
Therefor,
Time of Death = 7 : 00 : 00 AM - 4 : 10 : 15
<u>Time of Death = 2 : 49 : 45 AM</u>
Answer:
The graph of h(x) is shown below.
Step-by-step explanation:
The given function is
The general form of sine function is
Where, a is amplitude, b is period, c is phase shift and d is vertical shift.
So, the amplitude of the given function is 7, period is 1, phase shift is 0 and vertical shift is 0.
It means the minimum value of function is -7 and maximum value is 7.
Therefore the points on the function are (0,0), 
.
The graph of function is shown below.
