Answer:

Step-by-step explanation:
we know that
The area of a circle is equal to

we have

substitute

Remember that a central angle of
subtends for the area of a complete circle
so
by proportion
Find the area of the circle for a central angle of 

Answer:
K-a Positive constant that depends on the area and nature of the surface of the body under consideration.
Step-by-step explanation:
Newtons law cooling describes the rate at which an exposed body changes temperature through radiation which is approximately proportional to the difference between the object’s temperature and its surroundings, provided the difference is small. The formula is given as:

where,T- temperature at time t,
is temperature of the surrounding and k- A Positive constant that depends on the area and nature of the surface of the body under consideration.
Answer:The expressions for the payment made to Mary are,
(Monday) 90 = 15m + b
(Tuesday) 62 = 8m + b
where m and b are the fee per student and the base fee, respectively. Solving for m and b, the values are 4 and 30.
The equation that represents Mary's earning is
y = 4x + 30
For 20 students,
y = 4(20) + 30 = 110
For Lisa's earnings,
y = 8x + 15
Substituting 20,
y =8(20) + 15 = 175
Thus, Lisa would earn more than Mary by $65.
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Step-by-step explanation:
Answer:
Step-by-step explanation:
the slope equation is (y2-y1)/(x2-x1)
Answer:
yes
Step-by-step explanation:
as long as the two shortest sides add up to more than the longest side then a triangle can be made with those side lengths