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Sergio [31]
3 years ago
10

Find the length of the arc shown in orange. Leave your answer in terms of pi.

Mathematics
2 answers:
snow_tiger [21]3 years ago
5 0
Angle for orange ark =360-30=330
360 ° ---arc  πd
360 ° --- arc 36π
330⁰  ---- arc 33π 

Rudik [331]3 years ago
4 0
Central angle that captures the big orange arc is 330°.

\frac{330}{360} = \frac{11}{12}

So, arc is \frac{11}{12} of circumference which is 36π.

\frac{11}{12} * 36\pi =33\pi

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FromTheMoon [43]

Answer:

$16

Step-by-step explanation:

He had $16 so he had spent all of it due to the question asked.

4 0
3 years ago
rove the following statement directly from the definition of rational number. The difference of any two rational numbers is a ra
Umnica [9.8K]

Answer:

Step-by-step explanation:

Question:

Prove the following statement directly from the definitions.

The difference of any two rational numbers is a rational number.

Answer, see attachment for proof.

7 0
2 years ago
Expand and simplify <img src="https://tex.z-dn.net/?f=%20%283x-2%29%5E%7B2%7D%20" id="TexFormula1" title=" (3x-2)^{2} " alt=" (3
Rus_ich [418]
You can just 1) multiply the binomial by itself, or you can use 2) the square of a binomial pattern. I'll show it to you both ways.

1) Multiply the binomial by itself.

(3x - 2)^2 = (3x - 2)(3x - 2) =

Multiply every term of the first binomial by every term of the second binomial, then collect like terms. (This is often called using FOIL.)

= 9x^2 - 6x - 6x + 4

= 9x^2 - 12x + 4

2) Use the square of a binomial pattern

The square of a binomial is

(a - b)^2 = a^2 - 2ab - b^2

a^2 is the square of the first term.
b^2 is the square of the second term.
-2ab is the product of the two terms and 2.

You have

(3x - 2)^2,
where the first term is 3x, and the second term is -2

square the first term: 9x^2
square the last term: 4
the product of the terms and 2 is: -12x

Put it all together, and you get

9x^2 - 12x + 4

just like we got above with the other method.
7 0
3 years ago
A the fraction one half kilogram of flour is packed equally into 8 bags. How much flour is in each bag
marissa [1.9K]

Answer:

0.0625 kg per bag

or 1/16th of a kilogram per bag

Step-by-step explanation:

You'd need to divide the total amount the the number of sections.

In this case, it'd be 0.5 kg/8 bags, resulting in 0.0625 kg of flour per bag.

I hope this helps!

6 0
3 years ago
Can someone help me with this if it right I give you a Brainliest
notka56 [123]
3 nickles plus 8 pennies
(3x5)+(8x1) = 15 + 8 = 23
= 23¢
4 0
3 years ago
Read 2 more answers
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