Answer:
facts
Step-by-step explanation:
Option B) Determine the volume of the cake V= πr²h and divide that amount by 18
<u>Step-by-step explanation:</u>
- It is given that, the birthday cake is in the shape of the cylinder.
- Therefore, to find the entire volume of the cake, the volume of the cylinder formula is used.
<u>The volume of the cylinder is given by,</u>
Volume of the birthday cake = πr²h
After that, it was asked to find the volume of each piece of the cake.
In this case, the birthday cake is cut into 18 pieces.
We already know the total volume of the birthday cake which is πr²h.
In order to find the volume of each piece of cut cake, the total volume must be divided by the number of parts it has been cut into pieces.
Here, the whole part of the cake is 1.
The number of parts it has been divided after it is made into pieces = 18 parts.
Therefore, the volume of the birthday cake must be divided by 18 to get the volume of each piece of cake.
Option B) Determine the volume of the cake V= πr²h and divide that amount by 18 is correct.
Answer:
The generator will run for 6 hours.
Step-by-step explanation:
First, find the volume of the gas tank that is on the generator. I am told that the gas tank is a rectangular prism that has the dimensions of 20 cm, 15 cm, and 10cm.
Area of any prism = height * width * length
Area of prism = 20 cm * 15 cm * 10 cm = 3,000 cm cubed
I am told the important info that <u>1,000 cm cubed = 1 liter </u>
Therefore, 3,000 cm cubed = 3 liters
I am also told that the generator will run for 2 hours on 1 liter of gas
Lets make a ratio table:
Hours the generator will run for : liters of gas
2 : 1
6 : 3
the generator will run for 6 hours.
Answer: 4x² + 4x - 2 - 
<u>Step-by-step explanation:</u>
You can use either synthetic or long division. I am using synthetic division:
2x + 3 = 0 ⇒ x = 
| 4 10 4 -6
<u>| ↓ -6 -6 3 </u>
4 4 -2 -3 ← <em>-3 is the remainder</em>
↓ ↓ ↓
4x² +4x -2 ← <em>factored polynomial</em>
