Word Problem: Sophie and Joan need to determine whether or not they have enough paint to paint the walls of their bedroom. They need 2 6/7 gallons of paint in order to cover the entire room. Sophie has brought 5/6 of a gallon of paint. What is the minimum amount of paint Joan needs to bring in order to paint the entire wall?
Answer: 2 1/42 gallons
Solving Steps:
- 2 6/7 - 5/6 (needs to be simplified)
- 6/7 x 6/6 = 36/42
- 5/6 x 7/7 = 35/42
- 36/42 - 35/42 = 1/42
- 2 + 1/42 = 2 1/42
- Final Answer: 2 1/42 gallons
I hope this helps!! :)
Answer:
Hence the new height is 3 times the original height .(h1=3h)
Step-by-step explanation:
Given:
A cone with has height and base with radius r .
To Find:
What is new height
Solution:
Consider as cone with height h base radius r, and volume v
Here given that only height changes for the cone i.e. r remains the unchanged or same or constant
The volume for a regular cone is given by ,
![V=pie*r^2*h/3](https://tex.z-dn.net/?f=V%3Dpie%2Ar%5E2%2Ah%2F3)
Here V is directly proportional to h i.ee pie ,3 and r being constant
![V=K*h](https://tex.z-dn.net/?f=V%3DK%2Ah)
i.e V/h=constant
V1 and h1 are new dimensions for new cone
V/h=V1/h1
Here V1=3V
So V/h=3V/h1
1/h=3/h1
i.e h1=3h
Hence the height is 3 times the original height .
Answer: 40
Step-by-step explanation:
2x=(360/4)
2x=(80)
80/2=40
x=40
Hope this helps!
Answer: See Below
Step-by-step explanation:
Line equation is y = ax +b. We need to solve for a and b
First we will solve for the slope (a)
Given that it is perpendicular to 2x - 6y = 12, we know that our slope a is the negative reciprocal of the slope of this line. Lets put this line in point-slope format.
2x - 6y = 12
-6y = -2x + 12
y = (1/3)x - 2
This line has a slope of 1/3 so our slope is the negative reciprocal of that. Our slope is -3
We can plug that slope into our line equation in place of a
y = -3x + b
Now we can plug in (3,6) to solve for b
y = -3x + b
6 = -3(3) + b
6 = -9 + b
15 = b
Therefore our line equation is:
y = -3x + 15
- Product Rule of Radicals: √ab = √a × √b
So firstly, factor out i (i = √-1):
10i√80
Next, apply the product rule of radicals and simplify the radical as such:
√80 = √10 × √8 = √5 × √2 × √4 × √2 = 2 × 2 × √5 = 4√5
10i × 4√5 = 40i√5
<u>Your final answer is 40i√5.</u>