Anumeha is mowing lawns for a summer job. For every mowing job, she charges an initial fee of $ 1 0 $10dollar sign, 10 plus a co
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Answer:
The base of the triangle decreases at a rate of 2.262 centimeters per minute.
Step-by-step explanation:
From Geometry we understand that area of triangle is determined by the following expression:
(Eq. 1)
Where:
- Area of the triangle, measured in square centimeters.
- Base of the triangle, measured in centimeters.
- Height of the triangle, measured in centimeters.
By Differential Calculus we deduce an expression for the rate of change of the area in time:
(Eq. 2)
Where:
- Rate of change of area in time, measured in square centimeters per minute.
- Rate of change of base in time, measured in centimeters per minute.
- Rate of change of height in time, measured in centimeters per minute.
Now we clear the rate of change of base in time within (Eq, 2):
(Eq. 3)
The base of the triangle can be found clearing respective variable within (Eq. 1):
If we know that ,
,
and
, the rate of change of the base of the triangle in time is:
The base of the triangle decreases at a rate of 2.262 centimeters per minute.
Answer:
D: 0.75
Step-by-step explanation:
<u>Explanation</u>:-
<u><em>Independent events:</em></u>
If the occurrence of the event 'B' is not effected by the occurrence or non- occurrence of the event 'A' then the event 'B' is said to be independent of 'A'
or
<em>The two events are independent if the incidence of one event is not affect the probability of other event.</em>
<em>P(A∩B) = P(A) P(B)</em>
Given data A and B are independent events
Given data
we know that A and B are independent events are
P(A∩B) = P(A) P(B)
Now calculation we get
<u><em>Final answer:</em></u>-