Answer:
<u>254.34 in²</u>
Step-by-step explanation:
<u>Area of a circle</u>
- <u>r = radius of the circle</u>
<u>Solving</u>
- A = 3.14 x (9)²
- A = 3.14 x 81
- A = <u>254.34 in²</u>
Answer: the length and width are
(x + 8) and (x + 8)
Step-by-step explanation:
The rug has an area represented by the expression
Area = 4x² + 64x + 256.
The factors in the factored expressions represent the length and width of the rug.
Dividing the the equation by 4, it becomes
x² + 16x + 64 = 0
We would find two numbers such that their sum or difference is 16x and their product is 64x^2.
The two numbers are 8x and 8x. Therefore,
x² + 8x + 8x + 64 = 0
x(x + 8) + 8(x + 8) = 0
The factors are
(x + 8)(x + 8)
Answer:
The volume is 3825 cubic units
Step-by-step explanation:
To find the volume of the fish tank multiply out the dimensions.
We were given the dimensions as:
Change the numbers to improper fractions
We cancel out to get
(-4) - (- 8) + (- 4)
- 4 - (- 8) + (- 4)
- 4 + 8 + (- 4 )
- 4 + 8 - 4
= 0
Let n be a number of balls: n = 14
In one pan you have 8 balls: 8n
In the other pan you have the rest of balls (14 - 8 = 6) along with a <span>weight of 20 grams = 6n + 20
So the pans are balanced:
8n = 6n + 20
Now, just solve the equation:
8n - 6n = 20
2n = 20
n = 20/2
n = 10
So, you know that a ball weights 10 grams.</span>
