The correct answer for the first one is exponential growth. The correct answer to the second one is increases. Hope this helps.
Answer:
x = 6 cos t
y = 6 sin t
where t varies from 0 to 2pi
Step-by-step explanation:
Given that an ellipse is centred at the origin in xy plane.
So equation would be of the form
Major axis =2a= 12
so a=6
Minor diameter = 8
b = 8/2 = 4
a=6 and b =4
Also (6,0) should correspond to t=0
So best parametrization would be
x = 6 cos t
y = 6 sin t
where t varies from 0 to 2pi
1) We want to find the area of the triangular bases, which means both shown in the net. So, normally we would divide the area by 2 (from the formula), but since we are finding the area of two triangles, that isn't necessary.
A = 8 x 3
2) There are two different sized rectangles here. One that is repeated twice and the other that is on its own. We know that A and C are the same, and if we think about how this net is folded, we can determine that the width of A and C would be 5 cm. For both sized rectangles, the length is 12 cm. For rectangle B, we can see that its width is 8 cm.
A = (8 x 12) + (5 x 12)
3) Now that we have all of the expressions needed to find the surface area, what we need to do is evaluate each of them and add them together to find the total surface area.
Triangles = 8 x 3 = 24
Rectangles = (8 x 12) + (5 x 12) = 96 + 60 = 156
Surface area = 24 + 156 = 180 square centimeters
Hope this helps! :)
There are 36 different possibilities for his lunch.
We can use the fundamental counting principal to solve this problem. We simply need to find the number of options for each part of the meal and multiply them.
Sandwich = 3
Snack = 3
Dessert = 2
Drink = 2
3 x 3 x 2 x 2 = 36
Answer:
Step-by-step explanation:
I hope I helped you.
