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Doss [256]
2 years ago
15

Convert the degree measurement to radians. Express answer as multiple of π: 126°

Mathematics
2 answers:
almond37 [142]2 years ago
8 0

Answer:

.7 pi    Radians

Step-by-step explanation:

There are pi radians in a 180 degrees :

   pi / 180   * 126  = .7 pi  Radians

tester [92]2 years ago
7 0

Answer:

\frac{7}{10} \pi or 0.7π radians

Explanation:

For converting degree to radians, multiply by π/180

Here given:

  • 126°

Conversion:

126° × π/180 = \frac{7}{10} \pi or 0.7π

Similarly (additional),

     1) 100° = 100 × π/180 = \frac{5}{9} \pi

     2) 320° = 320 × π/180 = \frac{16}{9} \pi

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Solve the system using the elimination method.
spayn [35]

Answer:

  (x, y, z) = (-22/13, 29/13, 6/13)

Step-by-step explanation:

Adding the first and second equations, we get ...

  (3x +2y -3z) +(7x -2y +5z) = (-2) +(-14)

  10x +2z = -16 . . . . collect terms

  5x + z = -8 . . . . . . divide by 2 . . . [eq4]

Adding twice the second equation to the third, we get ...

  2(7x -2y +5z) +(2x +4y +z) = 2(-14) +(6)

  16x +11z = -22 . . . . . . [eq5]

Now, we have two equations with the variable y eliminated. We can subtract [eq5] from 11 times [eq4] to eliminate z:

  11(5x +z) -(16x +11z) = 11(-8) -(-22)

  39x = -66

  x = -66/39 = -22/13

From [eq4], we can find z as ...

  z = -8 -5x = -8 -5(-22/13) = 6/13

And from the second equation, we get ...

  y = (1/2)(7x +5z +14) = (1/2)(7(-22/13) +5(6/13) +14) = 29/13

The solution is (x, y, z) = (-22/13, 29/13, 6/13).

6 0
3 years ago
10 raised to negative 3 in standard notation
larisa86 [58]
Standard notation simply means the normal way or writing numbers.
10^-3= 1/10^3
1/10^3=1/1000
1/1000=0.001
Final answer: 0.001
4 0
3 years ago
If 8 family members choose to play "Secret Santa," how many different ways can the names be paired?
viktelen [127]

Answer:

300,000,000 or three hundred million

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Which system of linear inequalities is represented by the graph?  ax – 3y > 6 and y > 2x + 4 bx + 3y > 6 and y > 2x 
igor_vitrenko [27]

The <em><u>correct answer</u></em> is:

bx + 3y > 6 and y > 2x + 4

Explanation:

Looking at the second inequality, the y-intercept is 4 and the slope is 2.  This means the graph of the line crosses the y-axis at (0, 4) and the line goes up 2 and over 1.  Since it is greater than, this means the graph is shaded above it.  Comparing this to the graph, the line for the blue part crosses the y-axis at (0, 4) and goes up 2 and over 1.  The graph is also shaded above the line.

For the first inequality, bx+3y > 6, we want to isolate y.  To do this, we subtract bx from each side:

bx+3y-bx > 6-bx

3y > 6-bx

Divide both sides by 3:

3y/3 > 6/3 - bx/3

y > 2 - (b/3)x

This means the line for this will have a y-intercept of 2 and decrease 1 while going over 3.  The orange section does this.  Additionally, since it is greater than, the graph should be shaded above the line.  This one is, so this is the correct answer.

3 0
3 years ago
Read 2 more answers
Work out the percentage change when a price of £80 is increased to £100.
Mars2501 [29]

Answer:

125%

Step-by-step explanation:

80/100=8

80*x=100

100/80=1.25

1.25*100=125

x=125%

3 0
3 years ago
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