Answer:

Step-by-step explanation:
The formula of a surface area of a cylinder:

r - radius
H - height
We have r = 40mm and H = 50mm. Substitute:

To find the hypothenuse use Pythagorean theorem: 13²+5²=h²,
h=√13²+5²=13.93cm = hypothenuse.
Answer:
7.21 units
Step-by-step explanation:
The shortest length needed to connect the house to the existing pipeline is the perpendicular distance between the location of the house (2,9) and the line y = 2/3x - 1.
The perpendicular distance (d) between a point (
) and the line Ax + By + C = 0 is given as:

The line is given by y = 2/3 x - 1; 2/3x - y - 1 = 0. The point = (2, 9)
hence A = 2/3, B = -1, C = -1,
. Therefore:

Answer:
The made $644
Step-by-step explanation:
23*4= 92 (how many ticks sold all together)
92*$7= $644 (the number of tickets multiplied by the price)