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Eddi Din [679]
3 years ago
5

What is the measure in radians for the central angle of a circle whose radius is 9 cm and intercepted arc length is 7.2 cm? Ente

r your answer as a decimal in the box.
Mathematics
2 answers:
DaniilM [7]3 years ago
8 0

Answer:

0.8

Step-by-step explanation:

Novosadov [1.4K]3 years ago
8 0

Answer:

Length of an arc is given by:

l = r \theta          ......[1]

where,

r is the radius of the circle

\theta is the angle in radian.

As per the statement:

A circle has a radius of 9 cm.

⇒r =9 cm

It is also given that: intercepted arc length is 7.2 cm

Substitute the given values in [1] we have;

7.2 = 9 \cdot \theta

Divide both sides by 9 we get;

0.8 = \theta

Therefore, the measure in radians for the central angle is, 0.8

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( 6 − √ 100 − 6 ⋅ 6 ) 3 − 9 ÷ 3
sergij07 [2.7K]

Answer:

(6 - √ 100 - 6 * 6) 3 - 9 ÷ 3 = -64003/1 = -64003

Step-by-step explanation:

1.Square root: sqrt(100) = √ 100 = 10

2.Subtract: 6 - the result of step No. 1 = 6 - 10 = -4

3.Multiple: 6 * 6 = 36

4.Subtract: the result of step No. 2 - the result of step No. 3 = -4 - 36 = -40

5.Exponentiation: the result of step No. 4 ^ 3 = (-40) ^ 3 = -64000

6.Divide: 9 / 3 = 3

7.Subtract: the result of step No. 5 - the result of step No. 6 = -64000 - 3 = -64003

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3 years ago
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PSYCHO15rus [73]

Answer:

Parabola

Step-by-step explanation:

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3 years ago
Which ordered pair would be a solution on the graph of the following system of inequalities: y is greater than or equal to negat
daser333 [38]

Ordered pair is ( x, y)= ( \frac{20}{17} , \frac{-126}{17}  )

<u>Step-by-step explanation:</u>

We have the following inequalities:

y \geq  \frac{-x}{2}  - 8 and y < 8x +2 . In order to find ordered pair would be a solution on the graph .Let's solve both inequalities , and will take common solution from both of them !

y = \frac{-x}{2} - 8 \\ and , y = 8x +2 which implies:

⇒8x + 2 = \frac{-x}{2} - 8

⇒\frac{17x}{2} = - 10

⇒ x = \frac{-20}{17}

putting value of x in both inequalities we get,

y \geq  \frac{-x}{2}  - 8 and y < 8x +2

y \geq  \frac{-(\frac{-20}{17} )}{2} - 8 and y <  8.(\frac{-20}{17}) + 2

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Hence at x = \frac{-20}{17} and y  = \frac{-126}{17} above inequalities are satisfied. ∴ Ordered pair is ( x, y)= ( \frac{20}{17} , \frac{-126}{17}  )

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Answer:

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