Solve for X, please give a brief run-over on how you got there.
1 answer:
Answer:
x = 31.5
Step-by-step explanation:
The triangle on the left has 2 congruent sides and is therefore isosceles.
Thus the 2 base angles are congruent with measure
=
= 63
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
The triangle on the right is also isosceles with base angles of measure x
63° is an external angle of the triangle on the right, thus
x + x = 63
2x = 63 ( divide both sides by 2 )
x = 31.5
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Answer:
a
f'(t) is negative
b
The unit is degC/min
c
At <u>35</u> minutes after the coffee was put on the counter, its temperature is <u>68</u> and will <u>decrease</u> by about <u>0.75</u> in the next 30 seconds.
Step-by-step explanation:
From the question we are told we are told that
The equation for the temperature of a cup of coffee place on a counter is
Here t is the time in minutes the coffee was put on the counter
Generally f(t)' is the derivative of f(t) at it represents the change of the temperature of the cup of coffee with respect to time
Generally for the coffee placed on the counter after a couple of minutes the temperature will decrease hence f(t)' is negative
Generally the unit of the temperature is in degrees Celsius while that of time is in minutes
So the change in temperature with time f(35)' will be in degrees Celsius/minutes (i.e degC/min)
From the question we are told that
i.e the rate of change of temperature after 35 minutes is 1.5
and
i.e the temperature of the cup of coffee after 35 minutes is 67 degC
Now after another t= 30 seconds = the rate of change of the temperature of the cup of coffee is
=>
=>
So
At <u>35</u> minutes after the coffee was put on the counter, its temperature is <u>68</u> and will <u>decrease</u> by about <u>0.75</u> in the next 30 seconds.