Length: w+4
Width:w
Perimeter:44
Area: L times w
P=44
44=2(w)+2(w+4)
44=2w+2w+8
44=4w+8
36=4w
w=9
L=w+4
L=9+4
L=13
Area should equal 117 cm squared
Answer:
After completing the square the expression is (x-2)^2 -12 =0 and real solution are x = 5.46 and x = -1.46
Step-by-step explanation:
We need to complete the square:
x^2 − 4x − 8 = 0
x^2 -2(x)(2)+(2)^2 -8 -4 =0
(x^2 -4x +4) - 12 = 0
(x-2)^2 -12 =0
Now, finding the value of x
(x-2)^2 -12 =0
(x-2)^2 = 12
taking square root on both sides
So, After completing the square the expression is (x-2)^2 -12 =0 and real solution are x = 5.46 and x = -1.46
In order to compare the amount of wax, you have to calculate the volume of both candles.
Candle of booth A = πr² h/3
A = π * 4² * 6/3
A = π * 16 * 2
A = 32π
Now, Candle of Booth B = π * 5² * 5/3
B = π * 25 * 5/3
B = 41.6π
In short, Booth B sells the candle with more wax.
Hope this helps!
Answer:
There are two sources that serve as the foundation for conducting research on learning. The first source addresses characteristics of knowledge itself and the different ways in which we learn things. The second source focuses on what goes on in our minds and how that is theoretically represented.
Step-by-step explanation:
The investigations on the process of how we learn have led to two main sources:
- Acquisition of knowledge which involves assimilation or understanding, storage and retrieval
- The second source belongs to a modern learning cognitive psychology, neuroscience, and cognitive science theories on mental representation, which concerns about the build up of an internal symbol or cognitive representation to hypothetically figure out, external reality.