Answer:
Step-by-step explanation:
Let us group the integers and the fractions.
=
=
270 people attend a play. 2/3 of the people bought their tickets in advance. How many did not buy their tickets in advance?
2 answers:
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Answer:
a) is increasing in two regions: (i)
and (ii)
.
b) decreases in
.
Step-by-step explanation:
Let , where
is the quantity of insecticide, measured in hundreds of liters, and
is the total manufacturing cost as a function of the quantity of the insecticide, measured in US dollars. A possible approach to determine which regions of
are decreasing and increasing by means of the first derivative and graphing tools. The first derivative of the function is:
(1)
Please notice that regions where C(x) is increasing has , whereas
when
.
We notice that is increasing in two regions: (i)
and (ii)
. Besides,
decreases in
.
Draw a diagram to illustrate the problem as shown below.
The area of triangle acb is
A₁ = (1/2)*20*h = 10h
The area of trapezoid abcd is
A₂ = (1/2)*(20+12)*h = 16h
The ratio A₁/A₂ is
A₁/A₂ = (10h)/(16) = 5/8
Answer:
The ratio of triangle acb to the area of trapezoid abcd is 5/8.
The area of triangle acb is
A₁ = (1/2)*20*h = 10h
The area of trapezoid abcd is
A₂ = (1/2)*(20+12)*h = 16h
The ratio A₁/A₂ is
A₁/A₂ = (10h)/(16) = 5/8
Answer:
The ratio of triangle acb to the area of trapezoid abcd is 5/8.