Rectangle:
P = 2(L + W)
51.6 = 2 (L + 9.9)
L + 9.9 = 51.6 / 2
L + 9.9 = 25.8
L = 15.9
Answer
The length of the base = 15.9 feet
Answer:
3
Step-by-step explanation:
Subbing -3 for x in -x^2 - 4x, we get -(-3)^2 - 4(-3)
OR -9 +12
Final result: 3
Answer:
30- 3x 
14
Step-by-step explanation:
Let say that Y is the number of toys you have now and X is the number of the customer. Every customer (X) buy 3 toys, and you have 30 toys at the start. So you can put this equation
30- 3x = Y
Now you have at least 14 toys, in other words, it is more than or equal to 14 (14). The equation will be:
30- 3x 14
Answer: 3.61×10^5 A
Step-by-step explanation: Since the brain has been modeled as a current carrying loop, we use the formulae for the magnetic field on a current carrying loop to get the current on the hemisphere of the brain.
The formulae is given below as
B = u×Ia²/2(x²+a²)^3/2
Where B = strength of magnetic field on the axis of a circular loop = 4.15T
u = permeability of free space = 1.256×10^-6 mkg/s²A²
I = current on loop =?
a = radius of loop.
Radius of loop is gotten as shown... Radius = diameter /2, but diameter = 65mm hence radius = 32.5mm = 32.5×10^-3 m = 3.25×10^-2m
x = distance of the sensor away from center of loop = 2.10 cm = 0.021m
By substituting the parameters into the formulae, we have that
4.15 = 1.256×10^-6 × I × (3.25×10^-2)²/2{(0.021²) + (3.25×10^-2)²}^3/2
4.15 = 13.2665 × 10^-10 × I/ 2( 0.00149725)^3/2
4.15 = 1.32665 ×10^-9 × I / 2( 0.000058)
4.15 × 2( 0.000058) = 1.32665 ×10^-9 × I
I = 4.15 × 2( 0.000058)/ 1.32665 ×10^-9
I = 4.80×10^-4 / 1.32665 ×10^-9
I = 3.61×10^5 A
