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sesenic [268]
3 years ago
8

HELP ME PLEASE

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

  the market

∵  t1 + t2 = 15 minutes

∴ t1 + t2 = 900 ⇒ (1)

→ Assume that the distance to the market is d

∵ His speed on the way to the market is 5m/s

∵ Time = Distance ÷ Speed

∴ t1 = d ÷ 5 ⇒ (1 ÷ 5 = 0.2)

∴ t1 = 0.2d ⇒ (2)

∵ His speed on the way back is 4m/s

∴ t2 = d ÷ 4 ⇒ (1 ÷ 4 = 0.25)

∴ t2 = 0.25d ⇒ (3)

→ Substitute (2) and (3) in (1)

∵ 0.2d + 0.25d = 900

∴ 0.45d = 900

→ Divide both sides by 0.45

∴ d = 2000 m

∴ The distance to the market = 2000 m

8 0
3 years ago
Write an expression for the calculation add 3 and 8 and then multiply by 9
melisa1 [442]

Hey there!

Basically it wants you to add 3 and 8 from each other, what ever the answer to that part, you multiply the result by 9

Here this is what i meant

3 + 8 = 11 \\ 11 ( 9) = 99

Or you could do this method too!

(3 +8) (9) \\ \\ 3 + 8 = 11 \\ 11(9) \\ = 99

They both give you the result of 99

So, I am assuming your expression would look like this: (3 + 8) * 9

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

5 0
3 years ago
Read 2 more answers
a tennis ball is served from a height of 8 feet and just clears the net that is three feet high. The server is 40 feet from the
emmasim [6.3K]

Answer:

24

Step-by-step explanation:

7 0
2 years ago
Big Jim's Pencil Shop can manufacture 240 pencils in 10 minutes. At this rate, how many pencils can Big Jim's Pencil Shop produc
VladimirAG [237]

Answer:

720

Step-by-step explanation:

240 x 3 = 720 pencils

3 0
3 years ago
Read 2 more answers
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