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Talja [164]
3 years ago
8

a circle has a radius of 3. An arc in this circle has a central angle of 340°. what is the length of the arc ?

Mathematics
1 answer:
natima [27]3 years ago
7 0

Answer:

17.8

Step-by-step explanation:

Find circle circumference:

C = 2\pir = 2\pi(3) = 18.85

Find percentage of arc:

\frac{340}{360} = 0.94444444444.

Find arc:

0.94444444444 * 18.85 = 17.8027777777

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Solve the simultaneous equations 3x+y=172 x+y=12​
viktelen [127]

9514 1404 393

Answer:

  (x, y) = (80, -68)

Step-by-step explanation:

Subtract the second equation from the first.

  (3x +y) -(x +y) = (172) -(12)

  2x = 160 . . . . . . . . . simplify

  x = 80 . . . . . . . . . divide by 2

  y = 12 -x = 12 -80 = -68 . . . . . find y from the second equation

The solution is (x, y) = (80, -68).

7 0
3 years ago
Write the ratio as a fraction in lowest terms.<br> Compare in inches.<br> 4 feet to 49 inches
olga2289 [7]

Answer:

48/49

Step-by-step explanation:

divison and multiplcation

6 0
2 years ago
Angie and Irene had the same amount of money at first.At a shopping mall, Angie spent $2595 while Irene spent $297.Irene then ha
Fantom [35]

Answer:

Irene had $3744 at first.

Step-by-step explanation:

Let Angie and Irene had the money initially = $a

At a shopping mall Angie spent money = $2595

Money left with Angie = $(a - 2595)

Similarly, Irene spent the money = $297

Money left with Irene = $(a - 297)

Money left with Irene was thrice as much as Angie,

(a - 297) = 3(a - 2595)

a - 297 = 3a - 7785

3a - a = 7785 - 297

2a = 7488

a = \frac{7488}{2}

a = $3744

Therefore, Irene had $3744 at first.

7 0
3 years ago
Determine the y-intercept of 5x-6y=10
Tema [17]

Answer:

The y intercept of the equation is 10.

6 0
3 years ago
Read 2 more answers
The graph represents a cubic function. Write the function.
Norma-Jean [14]

Zeros are

  • (0,0)
  • (-3,0)
  • (-4,0)

Write in factor form and solve

  • (x-0)(x-(-3))(x-(-4))=0
  • x(x+3)(x+4)=0
  • x[x(x+4)+3(x+4)]=0
  • x(x²+4x+3x+12)=0
  • x(x²+7x+12)=0
  • x³+7x²+12x=0

Points given (-2,16)

Solve for n

  • n(x³+7x²+12x)=y

On solving we get

  • n=-4

So the function is

  • y=-4(x³+7x²+12x)
  • y=-4x³-28x²-48x
7 0
2 years ago
Read 2 more answers
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