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Korolek [52]
3 years ago
9

Determine the sign of cos pi/3 without using a calculator.

Mathematics
1 answer:
andre [41]3 years ago
8 0
Pi/3 is in the first quadrant, and all trigonometric functions are positive in the first quadrant,
Therefore, cos pi/3 is positive.

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Which is the solution of the quadratic equation (4y – 3)2 = 72? y = StartFraction 3 + 6 StartRoot 2 EndRoot Over 4 EndFraction a
Aleksandr-060686 [28]

Answer:

y = \frac{3 + 6\sqrt{2} }{4} and y = \frac{3 - 6\sqrt{2} }{4}

y = StartFraction 3 + 6 StartRoot 2 EndRoot Over 4 EndFraction and y = StartFraction 3 minus 6 StartRoot 2 EndRoot Over 4 EndFraction

Step-by-step explanation:

The given quadratic equation is (4y - 3)² = 72

We have to solve this equation for y.

Now, 4y - 3 = ± 6√2

⇒ 4y = 3 ± 6√2

⇒ y = \frac{3 + 6\sqrt{2} }{4} and y = \frac{3 - 6\sqrt{2} }{4}

Therefore, the solution is y = StartFraction 3 + 6 StartRoot 2 EndRoot Over 4 EndFraction and y = StartFraction 3 minus 6 StartRoot 2 EndRoot Over 4 EndFraction (Answer)

6 0
4 years ago
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Answer for both for brainliest
iragen [17]

Answer:

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Step-by-step explanation:

The currents into and out of a single device are the same. The sum of currents into and out of a junction are the same.

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The two branches at the bottom of the circuit are identical, so will have the same current. The current in each branch will be half the current shown coming from the battery:

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The current at e into the battery will be the same as the current shown coming out of the battery:

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<u>Right Circuit</u>

0.6 A is the sum of the currents into the two branches. The current in the bottom branch is shown as 0.2 A, so the current in the top branch must be 0.4 A. That way, the currents total 0.6 A.

As before, the current throughout any given branch is the same, so ...

  a = c = 0.4 A

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3 0
3 years ago
The length of the minute hand on a clock is 5 in....is it a dimeter, circumference, radius?
Mashcka [7]

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The minute hand on a clock would start in the center and go outwards towards a certain number. However, the minute hand would not go the full length across the clock so it's not the diameter.

The circumference of a circle which is another way of saying the perimeter of the circle is the distance around the circle so it would not be the circumference.

This means that the minute hand would represent the radius of a clock.

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exis [7]

Answer:

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Answer:

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