Answer:
See solutions for detail.
Step-by-step explanation:
a.
is the instantaneous rate of change of volume given with respect to time, t.
The volume's rate of change is written as a function of time.
-
is the rate of change in the height of water in the tank with respect to time, t.
b.
is the only constant. Water flows into the constant at a constant rate, say
per minute.
c.
is positive. Volume water in the take is increasing from time to time.
-The volume at time t=1 is greater than the volume at t=0, hence, it's a positive rate of change.
d.
is a positive rate. The initial height of water in the tank is zero.
-The final height at time t is 0.25h. The height is increasing with time.
Hence, it is positive.
Answer:
$500
Step-by-step explanation:
She pick in $400, she took that $400 out so she would then have $0
She then inserted $500 back in with no money previously
Motorcyclist: 2 hours
Bus: 2.5 hours
Truck: 3 hours
Bicyclist: 7.5 hours
The value of x will be equal to x = 79.
<h3>What is the triangle?</h3>
Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.
For an isosceles triangle, the value of two opposite angles is equal and the opposite sides are also equal.
The Sum of the three angles is equal to 180 degrees so the third angle will be calculated as:-
Angle = 180 - 142 - 19 = 19
Now applying Lami's theorem in the triangle we will get the third side.



x = 79
Therefore the value of x will be equal to x = 79.
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Answer:
40/41
Step-by-step explanation:
From the given diagram;
BA is the hypotenuse = 41
AC is the opposite = 9
CB is the adjacent = 40
Cos<B = adjaccent/hyp
Cos<B = CB/BA
Cos<B = 40/41
Hence the required ratio is 40/41