1cm=.9m
we can multiply this by 1.2 because it will help when solving the equation
1.2cm=1.08m
this is your answer!
Answer:
It would take them 6.667 minutes to paint 50 square feet together.
Step-by-step explanation:
This is a classic work problem. If Sam can do the job in 10 minutes, she can get done 1/10 of the job in one minute. If you can do the job in 5 minutes, you can 1/5 of the job done in one minute. To find out how many minutes it will take them together to paint 25 square feet, set the addition of their times equal to 1/x:
![\frac{1}{10}+\frac{1}{5}=\frac{1}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B10%7D%2B%5Cfrac%7B1%7D%7B5%7D%3D%5Cfrac%7B1%7D%7Bx%7D)
x is how long it takes them to get the job done together. Find the common denominator and multiply it through be everything to get rid of the denominators altogether. That denominator is 10x:
![(10x)\frac{1}{10}+(10x)\frac{1}{5}=(10x)\frac{1}{x}](https://tex.z-dn.net/?f=%2810x%29%5Cfrac%7B1%7D%7B10%7D%2B%2810x%29%5Cfrac%7B1%7D%7B5%7D%3D%2810x%29%5Cfrac%7B1%7D%7Bx%7D)
Simplify to get the simple equation x + 2x = 10 and 3x = 10. That means that x=3 1/3. That's how long it takes to do 25 square feet. Double that time for 50 square feet.
Answer:
The height of the cone h = 27(x^4)y
Step-by-step explanation:
Firstly, we calculate the volume of the cylinder.
Mathematically, the volume of the cylinder is pi * r^2 * h
using the radius x and height y
The volume V of the cylinder is ;
V = pi * x^2 * y
Now we know they have the same volume V, the formula for the volume of a cone is ;
1/3 * pi * r^2 * h
Substituting the values of r to be 1/3x and the height which is not given here left as h, we have the volume of the cone to be;
V = 1/3 * pi * (1/3x)^2 * h = pi * x^2 * y
The pi gives way as it cancels out on both sides and we have the following;
h/27x^2 = x^2y
Mathematically h = x^2 * y * 27x^2
h = 27(x^4)y
p.s: I personally feel the radius of the cone was to be given as x/3 and not 1/3x . It is in that way we can have the height of the cone purely in y terms and no x
Answer:
x=40
Step-by-step explanation:
Angle Formed by Two Secants= 1/2(DIFFERENCE of Intercepted Arcs)
x = 1/2(120-40)
x = 1/2(80)
x = 40