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Mathematics

1 answer:

Mashutka [201]3 years ago

4 0

Answer:

$9 + \frac{n}{3} - 6 = 7$

Step-by-step explanation:

Given

$9 + \frac{n}{3} - 6$

Required

Evaluate when n = 12

Substitute 12 for n in $9 + \frac{n}{3} - 6$

$9 + \frac{n}{3} - 6 = 9 + \frac{12}{3} - 6$

Simplify the fraction

$9 + \frac{n}{3} - 6 = 9 + 4 - 6$

$9 + \frac{n}{3} - 6 = 7$

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Pi/6 is the reference angle for:

Ksju [112]

Option B. 13π/6 and Option D. 5π/6

To get the reference angle π/6 for the given angles we will check each angle given in the options.
A. 8π/6
Since 8π/6 means 240° which lies in 3rd quadrant. Therefore reference angle of 240°= 240-180 = 60° or π/3
B. 13π/6
13π/6 means 390° which lies in first quadrant.
Therefore reference angle = 390-360 = 30° or π/6
C. 3π/6
Since 3π/6 means 90° therefore reference angle of 90° is the same as 90°.
Or the reference angle is = π/2
D. 5π/6
5π/6 means angle is 150° which lies in second quadrant therefore reference angle of 150° = 180-150 = 30° or π/6
answer is Option B and D.

8 0

2 years ago

John runs to the market and comes back in 15 minutes. His speed on the way to the market is 5m/s and his speed on the way back i

katen-ka-za [31]

Answer:

The distance to the market is 2000 m

Step-by-step explanation:

∵ John runs to the market and comes back in 15 minutes

→ Change the min. to the sec. because the unit of his speed is m/s

∵ 1 minute = 60 seconds

∴ 15 minutes = 15 × 60 = 900 seconds

→ Assume that t1 is his time to the market and t2 is his time from