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3 years ago

Olivia started knitting a jumper

Mathematics

2 answers:

Lorico [155]3 years ago

5 0

The answer to the question above is 13:30

ale4655 [162]3 years ago

5 0

Answer: 14:30

Step-by-step explanation:

19:13 - 4.43 looks easy, but time expressed in 24-hour format is a base 60 calculation in the decimal portion. It only contains values between 0 and 59.

I broke it it down to simplify:

1) Take 13 minutes off the 19:13 to make it 19:00.

2) Then take the same 13 minutes off the 4.43, which would make it 4.30 (4 1/2 hours)

3) Now take off the 4.30 from the 19:00. The 4 portion of 4.3 can be removed: 19:00 - 4:00 = 15:00. Then remove the 0:30 portion (1/2 hour), which would leave 14:30.

14:30 plus 4:43 = 18:73, but the 0:73 must convert to 1:13 to account for the 60 minutes/hour format

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Read 2 more answers

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 $\frac{2 \pi}{3} = 120^o$

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

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

$B = 3.87 *10^{-6} \ T$

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