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Butoxors [25]
3 years ago
11

The circumference of oC is 56 cm. What is the length of AB (the minor arc)?

Mathematics
1 answer:
Talja [164]3 years ago
3 0

Answer:

Length of arc AB is 14. So, option E is correct

Step-by-step explanation:

Circumference of circle == 56 cm

We need to find length of arc AB?

Formula used will be l = rФ

We know, C = 2πr

56 = 2πr

56/2π = r

=> r = 8.91

Ф = 90° = 1.57 radians

So, l= rФ

l = 8.91 * 1.57

l = 13.98 = 14

So, Option E is correct

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Answer:

Your solution is (-10/7, 92/7)

Step-by-step explanation:

12x + y = -4

y = 2x + 16

To use substitution, we want to plug one variable's equation into the other equation.

We can see that y is already solved for us. Plug y into the first equation.

12x + y = -4

12x + (2x + 16) = -4

Combine like terms.

14x + 16 = -4

Subtract 16 from both sides.

14x = -20

Divide both sides by 14.

x = -20/14

x = -10/7

Now that we know x, we will plug it into one of the other equations.

y = 2x + 16

y = 2(-10/7) + 16

Multiply.

y = -20/7 + 16

Add.

y = -20/7 + 112/7

y = 92/7

Your solution is (-10/7, 92/7)

Hope this helps!

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