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Lemur [1.5K]
4 years ago
6

What is 5 pi over 4 radians in degrees?

Mathematics
2 answers:
miss Akunina [59]4 years ago
6 0
The answer to your question is 225 degrees
Gennadij [26K]4 years ago
3 0

Answer:

\frac{5 \pi}{4} radian into degree is, 225

Step-by-step explanation:

To convert radian into degree.

1 radian = \frac{180}{\pi} degree.

Given the statement:

Convert \frac{5 \pi}{4} radian into degree.

Using the conversion:

1 radian = \frac{180}{\pi} degree.

then;

in  \frac{5 \pi}{4} radian = \frac{180}{\pi} \times \frac{5 \pi}{4}  = \frac{900}{4} = 225^{\circ}

Therefore, \frac{5 \pi}{4} radian into degree is, 225

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| x - 1 | = 5x + 10<br> Check for extraneous solutions.
Ronch [10]
[x-1]=5x+10

We have two equations:
1) x-1=5x+10

x-1=5x+10
x-5x=10+1
-4x=11
x=-11/4

2) x-1=-(5x+10)

x-1=-(5x+10)
x-1=-5x-10
x+5x=-10+1
6x=-9
x=-9/6=-3/2

we have two  possible solutions:
solution₁;       x=-11/4
solution₂:       x=-3/2

we check it out:
1) x=-11/4
[x-1]=5x+10
[-11/4  - 1]=5(-11/4)+10
[(-11-4)/4]=-55/4  + 10
[-15/4]=(-55+40) /4
15/4≠-15/4   This solution don´t work.

2) x=-3/2
[x-1]=5x+10
[-3/2  - 1]=5(-3/2)+10
[(-3-2)/2]=-15/2  + 10
[-5/2]=(-15+20)/2
5/2=5/2; this solution works.

Therefore:

Answer: x=-3/2.
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Answer:

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