We Know, Area = Length * Width
Here, L = 5/12
W = 2/3
Substitute it into the expression,
A = 5/12 * 2/3
A = 10/36
A = 5/18 ft²
So, the area of the wood would be 5/18 ft²
Hope this helps!
Answer: 4
There are three different ways to find the remainder. Since I don't know which lesson you are working on, I will show you all three methods.
<u>Long Division:</u>
<u>3x + 7 </u>
2x - 1 ) 6x² + 11x - 3
- <u>(6x² - 3x)</u> ↓
14x - 3
- (<u>14x - 7)</u>
4
<u>Synthetic Division:</u>
2x - 1 = 0 ⇒ x = 
| 6 11 -3
<u>| ↓ 3 7</u>
6 14 4
<u>Remainder Theorem:</u>
2x - 1 = 0 ⇒ x =
f(x) = 6x² + 11x - 3
f() = 6()² + 11() - 3
= 6(
) + 
- 3
= 
+ - 
= 
= 4
Answer:
Step-by-step explanation:
pool tables are rectanglar
Perimeter = 2L + 2W = 2(L+W) ---->>> Perimeter/2 = L + W =
Perimeter/2 - W = L
Area = L×W
Two equations and two unknowns and L is substituted into the area equation
---->> Area = (Perimeter/2 - W) x W
Area = (Perimeter x W)/2 - W² solve for W
Area = 36 and Perimeter = 26
36 ft² = (26)( W)/2 ft - W² ft²
36 ft² = 13W ft - W² ft²
W² - 13W + 36 = 0 quadratic equation factor solve for W
(W - 4)(W - 9) = 0
There are two roots
W - 4 = 0 and W - 9 = 0
W = 4 and 9 W = 9 it doesn't make sense needs to be < L
Perimeter/2 - W = L
L = 26/2 - W
= 13 - 4
L = 9 ft and W = 4 ft
Answer: 1/12 of total pizza
Step-by-step explanation:
Mrs. Johnson first cut the pizza into equal sections of three.
This means that each section is 1/3 of the total pizza.
She then gave 1 section to her four children to share.
Each child will therefore get:
= 1/3 ÷ 4 children
= 1/3 * 1/4
= 1/12 of the total pizza
<em>Hint: When dividing a fraction by a number, you can instead multiply that fraction by the inverse of that number.</em>
