Y = 15 and X = 72°
Explanation = 72 + 108 = 180
X= be coffee
Y=be donuts
Set up equations
10x+5y=16.50
5x+10y=14.25
Now multiply first equation by -2 to get a negative
(-2)10x+5y(-2)=16.50(-2)
-20x-10y=-33
Now put both equations to solve for x
-20x-10y=-33
5x+10y=14.25
___________
-15x. = -18.75
Now divide -15 bith sides to get x alone
X= -18.75/-15
X= 1.25
The cost of each coffee cup$1.25
Slope of line
m= (y2-y1)/(x2-x1)
=(-4--6)/(6--2)
=2/8
=1/4
Line in two point form
(y-y1)=m(x-x1)
y--2=(1/4)(x-6)
y+2=(1/4)(x-6)
simplify
4(y+2)=x-6 =>
x-4y-14=0
Alternatively, use the slope intercept form:
y--2=(1/4)(x-6) =>
y=(1/4)x - 3/2-2 =>
y=(1/4)x -7/2
The magnitude of the magnetic field in the central area inside the solenoid, in T is 0.0267 T
<h3>Magnetic field inside solenoid</h3>
The magnetic field inside the central area of the solenoid is given by B = μ₀ni where
- μ₀ = permeability of free space = 4π × 10⁻⁷ Tm/A,
- n = number of turns per unit length = 3,170 turns/m and
- i = current in solenoid = 6.7 A
Since B = μ₀ni
Substituting the values of the variables into the equation, we have
B = μ₀ni
B = 4π × 10⁻⁷ Tm/A × 3,170 turns/m × 6.7 A
B = 4π × 10⁻⁷ Tm/A × 21239 A-turns/m
B = 84956π × 10⁻⁷ T
B = 266897.15 × 10⁻⁷ T
B = 0.026689715 T
B ≅ 0.0267 T
So, the magnitude of the magnetic field in the central area inside the solenoid, in T is 0.0267 T
Learn more about magnetic field inside a solenoid here:
brainly.com/question/25562052
20 to 18
20:18
20/ 18
Step-by-step explanation:
Ratios can be writen in 3 different formats. You can write your ratios in fraction form (Example- 20/18), colan form, (Example- 20:18) and finaly word form (Example- 20 to 18). Hope this was acurate and helpful. Have a magical rest of your day!