V= 3.14• 5^2•4
V= 3.14 •25•4
V= 78.5•4
V=314
Sorry I couldn’t give a more detailed explanation but here is the original equation for volume of a cylinder:
V=πr2h
Hope this helps comment below for more questions :)
Congruent
An angle
Sides
Proportional
Similar
For any circle with Cartesian equation

,
we have that the centre of the circle is

, and the radius of the circle is

.
So in the case that

,
we essentially have that

.
So the centre of the circle is

, and the radius is

.
Answer: The only correct answer is 8/18. See below
Step-by-step explanation:
All you need to do is divide the denominator of 9 into the denominator of each fraction, and multiply the numerator by the same factor like this:
4/9 = ?/36; 36/9 = 4; 4x4 =16, so we know that 4/9=16/36 NOT 20/36
4/9 = ?/18; 18/9 =2; 2x4 =8, so we know that 5/9 = 8/18 so YES.
4/9 = ?/45; 45/9=5; 5x4 = 20, so we know that 5/9 = 20/45 NOT 24/45
5/9 = ?/27; 27/9 =3; 3x5 = 15, so we know that 5/9 = 15/27 NOT 12/27
For this case we define the following variables:
x: Number of party dresses
y: Number of suits
You have 30 hours per week to cut, that is, the first equation is given by:

It is also known that 25 hours per week are available for sewing, that is:

It has a system of two equations with two unknowns, solving we have:

Multiplying the second equation by -1:

Adding up:

Substituting x in the first equation:

Clearing and:


Thus, per week, the designer can produce 5 party dresses and 5 suits working at her maximum capacity.
Answer:
5 Party dresses
5 Suits