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mart [117]
3 years ago
6

Find the length of the highlighted arc. Round your answer to the nearest tenth. *

Mathematics
1 answer:
Firlakuza [10]3 years ago
6 0

Answer:

Approximately 23.6

Step-by-step explanation:

So first find the fraction of the whole circumference the arc is.

270 ÷ 360 = 0.75

The circumference is 10π

0.75 * 10π = 7.5π

7.5π = 23.5619449019 ≈ 23.6

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A bag contains 5 red marbles , 2 blue marbles, 4 white marbles, and 1 yellow marble. if 2 marbles are chosen in a row , without
slega [8]
P of 1st white marble = 4/ 12

and P of 2nd white in a row = 3 /11

total = ( 4/12) * ( 3/11)
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How many permutations exist of the letters a, b, c, d taken two at a time?
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3 years ago
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Solve the system:<br> 2.5(x−3y)−3=−3x+0.5 3(x+6y)+4=9y+19
Aleksandr-060686 [28]

Answer:

The value of x and y that satisfy the equations is x = 2 and y = 1

Step-by-step explanation:

Given

2.5(x−3y)−3=−3x+0.5

3(x+6y)+4=9y+19

Required.

Find x and y

We start by opening all brackets

2.5(x−3y)−3=−3x+0.5 becomes

2.5x - 7.5y - 3 = -3x + 0.5

Collect like terms

2.5x + 3x - 7.5y = 3 + 0.5

5.5x - 7.5y = 3.5 ---- Equation 1

In similar vein, 3(x+6y)+4=9y+19 becomes

3x + 18y + 4 = 9y + 19

Collect like terms

3x + 18y - 9y = 19 - 4

3x + 9y = 15

Multiply through by ⅓

⅓ * 3x + ⅓ * 9y = ⅓ * 15

x + 3y = 5

Make x the subject of formula

x = 5 - 3y

Substitute 5 - 3y for x in equation 1

5.5(5 - 3y) - 7.5y = 3.5

27.5 - 16.5y - 7.5y = 3.5

27.5 - 24y = 3.5

Collect like terms

-24y = 3.5 - 27.5

-24y = -24

Divide through by - 24

y = 1

Recall that x = 5 - 3y.

Substitute 1 for y in this equation

x = 5 - 3(1)

x = 5 - 3

x = 2

Hence, x = 2 and y = 1

3 0
3 years ago
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