Answer:
a =
. Surface Area = 
. and area of the Dish = 
+pi
= 
+50.27=51.6
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)
]}]dy
Evaluating this integral gives. 
.
and area is surface area + area of the circle with 8ft diameter.
= 
+pi
= 
+50.27=51.6
...
Note the Difference between area and aurface area.!
None of the triangles listed has two equal base angles or two equal side lengths, therefore: D. No triangle is isosceles.
<h3>Properties of an Isosceles Triangle</h3>
- An isosceles triangle has two base angles having equal angle measure.
- The side lengths that are opposite each of the equal base angles are also congruent to each other.
Thus, none of the triangles listed has two equal base angles or two equal side lengths, therefore: D. No triangle is isosceles.
Learn more about isosceles triangle on:
brainly.com/question/11884412
Y=10x, 10 is the amount of money Miranda earns per hour , x is the amount of hours she works, y is the total amount of money she earns.
For Tommy’s earnings, use slope formula, which is y=y2-y1/x2-x1, take two random points from the table, (4,32) and (5,40)
(4,32) is (x1,y1). (5,40) is (x2,y2)
40-32/5-4= 8/1
The answer is 8. y=8x
Miranda earns more money per hour than Tommy.
Answer:each box cost =$3
Step-by-step explanation:
Amount of money Ms Hart has to spent on costume boxes=$40
Amount gotten as change after purchase=$4
Amount actually used up buying costume boxes =$40-$4=36
Since she bought 12 boxes , each box cost =$36/ 12=$3
Answer:
13
Step-by-step explanation:
8+2=10
10+3=13