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SVEN [57.7K]
3 years ago
12

The slope of a line can be stated many ways if not put into simplest form.

Mathematics
1 answer:
dolphi86 [110]3 years ago
8 0
Your answer is true , it can be stated by putting it into simplest form
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segment BC is an are of a circle with radius 30.0 cm, and point P is at the center of curvature of the arc Segment DA is an arc
Elan Coil [88]

Answer:

The magnetic field is B = 3.87 *10^{-6} \ T

Direction is inward

 

Step-by-step explanation:

The diagram for this question is shown on the first uploaded image  

From the question we are told that

      The radius of  BC is  r_{BC} =  30 \ cm  =  0.30 \ m

      The radius of  DA is r _{DA} =  20 \ cm =  0.20 \ m

      The length of CD is  r_{CD} =  10 cm =  0.1 \ m

      The length of AB is  r_{AB} =  10 cm =  0.1 \ m

      The current is  I  =  11.4A

The magnetic field is mathematically represented as

      B =  B_{BC} +  B_{DA} + B_{CD} + B_{AB}

       B =  \frac{\mu_o I}{4 \pi } [ \frac{\theta_{DA}}{r_{DA}} + \frac{\theta_{BC}}{r_{BC}}+ \frac{\theta_{CD}}{r_{CD}}+\frac{\theta_{AB}}{r_{AB}}]

        Where

                 \theta_{BC} = \theta_{DA} =  \frac{2\pi}{3}

Where  \frac{2 \pi}{3}  =  120^o

                \theta_{CD} = \theta_{AB}  =  0^o

so

        B =  \frac{\mu_o I}{4 \pi } [ \frac{\frac{2\pi}{3} }{0.20} - \frac{\frac{2\pi}{3}}{0.30}}+ \frac{0}{0.10}+\frac{0}{0.10}]

         B = 3.87 *10^{-6} \ T

The direction is into the page

    This because the magnitude of the magnetic field due to arc BC whose direction is outward is less than that of DA whose direction is inward

This is because according to Fleming's Left Hand Rule  the direction of current is perpendicular to the direction of magnetic field so since  current in arc BC and DA are moving in opposite direction their magnetic field will also be moving in opposite direction

3 0
3 years ago
A company produces and sells widgets and gizmos. In January the company sold 350 items for a total of $9,000. If each widget sol
iren [92.7K]

Answer:

The company sold 100 widgets and 250 gizmos.

Step-by-step explanation:

Let x_1 be the number of widgets sold and x_2 be the number of gizmos sold.

We are told that the company sold 350 items. We can represent this information in an equation as:

x_1+x_2=350...(1)

We have been given that a each widget sold for $35 and each gizmo sold for $22. The company sold 350 items for a total of $9,000.

We can represent this information in an equation as:

35x_1+22x_2=9,000...(2)

From equation (1), we will get:

x_2=350-x_1

Substitute this value in equation (2):

35x_1+22(350-x_1)=9,000

35x_1+7,700-22x_1=9,000

13x_1+7,700=9,000

13x_1+7,700-7,700=9,000-7,700

13x_1=1,300

\frac{13x_1}{13}=\frac{1,300}{13}

x_1=100

Therefore, the company sold 100 widgets.

Substitute x_1=100 in equation (1):

100+x_2=350

100-100+x_2=350-100

x_2=250

Therefore, the company sold 250 gizmos.

3 0
3 years ago
Read 2 more answers
135 miles on 4 gallons of gas
8_murik_8 [283]
To find out how many miles 1 gallon of gas uses we will divide.

135 ÷ 4 = <span>33.75

Check our work:-

33.75 </span>× 4 = 135

So, <span>33.75 miles per gallon.

Hope I helped ya!!</span>
3 0
3 years ago
Read 2 more answers
Both answers plssss ?????!?
Troyanec [42]

Answer:

4) C

5) C

Step-by-step explanation:

7 0
3 years ago
Math help please right now!!!!
Karolina [17]

Answer:

The second answer is correct.

Step-by-step explanation:

8 0
1 year ago
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