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mash [69]
3 years ago
8

What is the arc length of an angle of 7π6 radians formed on the unit circle?

Mathematics
1 answer:
Digiron [165]3 years ago
4 0
The formula for arc length is S = ∅*r. 
Where S is the arc length, ∅ is the angle measure in radians, and r is the radius of the circle.
S = *1
S = 
You might be interested in
A quarter of the sum of a number and 20 is equivalent to 30. Find the number.
Alisiya [41]

Answer:

X = 100

Step-by-step explanation:

X + 20 over 4 = 30

1/4x + 5 = 30

-5               -5

1/4x = 25

multiply both sides by 4

x = 100

4 0
3 years ago
Dawn earns $16,500 per year. She pays 9.5% of her gross income in state and local taxes. How much is withheld from each paycheck
Scrat [10]
Divide $16,500 by 26 to get gross amount per paycheck. Multiply that by .095 to get amount withheld.
7 0
3 years ago
Given the linear equation 2x + y = 6, perform the necessary operations to put the equation into the proper general form. Explain
likoan [24]

Step-by-step explanation:

The general equation is y = mx + c...

The given equation is 2x + y = 6

Firstly, move everything on the left except the y to the right.i.e.

y = 6 - 2x

Secondly, rearrange the values on the right to look just like the general equation.

y = -2x + 6

The equation is now in proper general form because it matches the format laid down.

3 0
3 years ago
(a) find parametric equations for the line of intersection of the planes x + y + z = 2 and x + 7y + 7z = 2
nlexa [21]
Direction vector of line of intersection of two planes is the cross product of the normal vectors of the planes, namely
p1: x+y+z=2
p2: x+7y+7z=2

and the corresponding normal vectors are: (equiv. to coeff. of the plane)
n1:<1,1,1>
n2:<1,7,7>

The cross product n1 x n2
vl=
 i  j  l
1 1 1
1 7 7
=<7-7, 1-7, 7-1>
=<0,-6,6>
Simplify by reducing length by a factor of 6
vl=<0,-1,1>

By observing the equations of the two planes, we see that (2,0,0) is a point on the intersection, because this points satisfies both plane equations.

Thus the parametric equation of the line is
L: (2,0,0)+t(0,-1,1)
or
L: x=2, y=-t, z=t

3 0
3 years ago
3x + x + x + x − 3 − 2 = 7 + x + x In the equation above, what is the value of x? A) −5 7 B) 1 C) 12 7 D) 3
oksano4ka [1.4K]

Answer:

x=3

Step-by-step explanation:

3x + x + x + x − 3 − 2 = 7 + x + x

Combine like terms

6x -5 = 7+2x

subtract 2x from each side

6x-2x -5 = 7+2x-2x

4x -5 = 7

Add 5 to each side

4x-5 +5 = 7+5

4x =12

Divide by 4

4x/4 =12/4

x=3

6 0
3 years ago
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