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3 years ago

Find an angle between 0 and 360 degrees that is coterminal with 1260 degrees

Mathematics

2 answers:

GaryK [48]3 years ago

6 0

Answer:

The 180 degrees angle.

Step-by-step explanation:

We can start by dividing 1260 / 360 = 1080. Therefore, a 1080 degrees angle would be coterminal with 360.

Now we take 1260 - 1080, to see how many degrees we have left, this gives us: 180, therefore, the angle between 0 and 360 that is coterminal with 1260 degrees is the 180 degrees angle.

cluponka [151]3 years ago

4 0

1260-360-360-360=180
Therefore,180

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Hip hop music makes up 75% of Landon's music library. If he has downloaded 120 hip hop songs, how many songs does Landon have in

Otrada [13]

Answer: 160 songs.

Step-by-step explanation:

75% hip hop music - 120 songs

100% all music - x songs

Let's write the proportion:

$\dfrac{120}{75} =\dfrac{x}{100} \\\\75x=120 \cdot 100\\75x=12000\\75x : 75 = 12000 : 75\\x = 160$

Thus, Landon have 160 songs in his music library.

4 0

3 years ago

A person takes a trip, driving with a constant peed of 89.5 km/h, except for a 22.0-min rest stop. If the peron's average speed

Stolb23 [73]

Answer:

a) The person traveled 2.83 hours.

b) The person travels 220.17 kilometers.

Step-by-step explanation:

We have that the speed is the distance divided by the time. Mathematically, that is

$s = \frac{d}{t}$

(a) how much time is spent on the trip and

The peron's average speed is 77.8 km/h, which means that $s = 77.8$

The person distance traveled is:

22 min is 22/60 = 0.37h.

So for the time t1, the person traveled at a speed of 89.5 km/h. Which has a distance of 89.5*t1.

For 0.37h, the person was at a stop, so she did not travel. This means that the total distance is

$d = 89.5t1 + 0 = 89.5t1$

The total time is the time traveling t and the stoppage time 0.37. So

$t = t1 + 0.37$

We want to find t1, which is the time that the person was driving.

$s = \frac{d}{t}$

$77.8 = \frac{89.5t1}{t1 + 0.37}$

$77.8t1 + 77.8*0.37 = 89.5t1$

$11.7t1 = 28.786$

$t1 = \frac{28.786}{11.7}$

$t1 = 2.46$

The total time is

$t = t1 + 0.37 = 2.46 + 0.37 = 2.83$

The person traveled for 2.83 hours.

(b) how far does the person travel?

The person traveled 2.46 hours at an average speed of 77.8 km/h. So

$s = \frac{d}{t}$

$77.8 = \frac{d}{2.83}$

$d = 77.8*2.83 = 220.17$

The person travels 220.17 kilometers.

8 0

3 years ago

Susan worked 5 out of 8 hours during the day what percentage of the day does she work

Aleksandr-060686 [28]

5/8 * 125/125 = 625/1,000 = 0.625
62.5 percent
Solution: 62.5%

4 0

3 years ago

Read 2 more answers

Please help!! Which of the following is equal to the rational expression when x ≠ 2 or -4? 5(x-2)/(x-2)(x+4)

Stels [109]

Answer:

5 / (x+4) x ≠2 x≠-4

Step-by-step explanation:

5(x-2)/(x-2)(x+4)

The denominator cannot be zero so x ≠2 x≠-4

Cancel like terms in the numerator and denominator

5 / (x+4) x ≠2 x≠-4

6 0

3 years ago

Solve (x-2<5) u (x+7>6)

grin007 [14]

x= | 1 < x < 3

x + 2 < 5 and x - 7 > -6

x < 5 - 2 and x > -6 + 7

I don't know if I am 100% right.

4 0

3 years ago