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lineaeriksen
06.10.2019 •
Mathematics
At the city museum, child admission is $5.70 and adult admission is $9.80 . on sunday, four times as many adult tickets as child tickets were sold, for a total sales of $1526.60 . how many child tickets were sold that day?
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Ответ:
a = 4c
5.70c + 9.80(4c) = 1526.60
5.70c + 39.20c = 1526.60
44.90c = 1526.60
c = 1526.60/44.90
c = 34 <=== child tickets sold
a = 4c
a = 4(34)
a = 136 ...adult tickets sold
Ответ:
a =
. Surface Area = ![\frac{4}{3}](/tpl/images/0510/7166/b13d1.png)
. and area of the Dish = ![\frac{4}{3}](/tpl/images/0510/7166/b13d1.png)
+pi
= ![\frac{4}{3}](/tpl/images/0510/7166/b13d1.png)
+50.27=51.6![ft^{2}](/tpl/images/0510/7166/8b0c7.png)
Step-by-step explanation:
(1) Constant. y(x) = a
that is the curve that we need to rotate around the y axis to get the parabola with diameter of 8 feet and 2 meter depth that statement is translated in mathematics as x = -4 to 4 and y = 0 to 2.
y max = 2, x max = 4 setting up a equation with a unknown gives
2=a4 and a =
.
so we have now.
y(x) =
(Done with solving for a Constant).
(2) Surface Area.
Setting Up surface integral.
(i) range in x = 0 to 4.
(ii) range in y = 0 to 2.
integral is.
Integral(0-2)[{integral[(0-4)![\frac{1}{32}](/tpl/images/0510/7166/f9172.png)
]}]dy
Evaluating this integral gives.![\frac{4}{3}](/tpl/images/0510/7166/b13d1.png)
.
and area is surface area + area of the circle with 8ft diameter.
=![\frac{4}{3}](/tpl/images/0510/7166/b13d1.png)
+pi
= ![\frac{4}{3}](/tpl/images/0510/7166/b13d1.png)
+50.27=51.6
...
Note the Difference between area and aurface area.!