Well,
A cylinder is actually a special type of prism. A prism is a 3-D figure made by taking a simple closed plane curve and translating it across space in a certain direction and for a given distance and then connecting the preimage and the image. A cylinder is just a prism made with a circle.
We know from translations that the image is congruent to the preimage. Thus, the bases of a (circular) cylinder are two congruent circles.
The recurring decimal number 9.2424... expressed in mixed number is 
In the given decimal number, 2 is the digit at the tenth place and 4 is the digit at the hundredth place.
The fraction part 
in the simplest form is 
The whole number part is 9.
Therefore, the number 9.2424... as a mixed number in the simplest form is 
This is a proportion problem because the problem stated that the two team pennants are similar.
Pennant 1 = base = 18 in ; length = 9 inches
Pennant 2 = base = 6 in ; length = x ?
9/18 = x/6
9*6 = 18x
54 = 18x
54/18 = x
3 = x
The length of the side of the smaller pennant is 3 inches.
Answer: 2 19/24 hours was spent in practising.
Step-by-step explanation:
During the first hour, they practiced for 5/8 of an hour. During the second hour, they practiced for 2/3 of an hour. This means that the total time for which they practiced in the first 2 hours would be
5/8 + 2/3 = 31/24 hours
During the last two hours, they first practiced for 3/5 of an hour, took a 1/2 hour break and then practiced the rest of the time. This means that the rest of the time for which they practiced is
2 - (3/5 + 1/2) = 2 - 11/10 = 9/10
Therefore, the time they spent practicing in total would be
31/24 + 3/5 + 9/10 = 67/24 =
2 19/24 hours
Answer:
y = -2x/3 + 2
Step-by-step explanation:
A(0,1), B(2,4)
slope of AB = (yb-ya)/(xb-xa) = (4-1)/(2-0) = 3/2
Slope of perpendicular to AB
m = -1/(3/2) = -2/3
Point to lie on perpendicular, P(0,2)
Equation of perpendicular, point-slope form
(y-yp) = m(x-xp)
y-2 = -(2/3)(x-0)
y = -2x/3 + 2
