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LenaWriter [7]
3 years ago
15

11. Use the above figure to answer the question. How long is arc ACB if the radius of the circle is 6? Round your answer to two

decimal places. A. 25.13 B. 18.86 C. 6.29 D. 12.57

Mathematics
2 answers:
d1i1m1o1n [39]3 years ago
7 0

Answer:25.13

Step-by-step explanation:


Varvara68 [4.7K]3 years ago
3 0
I have to assume that figures OAT and OBT are congruent.

If that is true, the center angle O (of the sector AOB= is 120° and the angle of the sector ACB is 360° - 120° = 240°

Now you can state that the circumferece of the circle / 360 ° = arc ACB / 240° and solve for arc ACB.

arc ACB = circumference * 240 / 360 = 2πr *240/360 = 2π(6)*240/360 = 25.13

Answer: option A. 25.13
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Is -6/11 a irrational number?
Harlamova29_29 [7]

Answer:

No

Step-by-step explanation:

One way to tell if a number is rational is if it can be written as a fraction. Anything that can be written as a fraction of two integers is rational.

-6/11 is a fraction with integer numerators and denominators.

Therefore it is rational.

4 0
3 years ago
Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.
ludmilkaskok [199]

Answer:

\dfrac{dy}{dx}=- \dfrac{1}{\left(x - 1\right) \left(x + 1\right)}

Step-by-step explanation:

Given:

y = \ln{\left(\dfrac{x + 1}{x - 1}\right)^{\frac{1}{2}}

using the properties of log we can take the power 1/2 and multiply it.

y = \dfrac{1}{2}\ln{\left(\dfrac{x + 1}{x - 1}\right)

now we can differentiate:

\dfrac{dy}{dx} = \dfrac{1}{2}\dfrac{1}{\left(\dfrac{x + 1}{x - 1}\right)}\left(\dfrac{d}{dx}\left(\dfrac{x+1}{x-1}\right)\right)

\dfrac{dy}{dx} = \dfrac{1}{2}\left(\dfrac{x - 1}{x + 1}\right)\left(- \dfrac{2}{\left(x - 1\right)^{2}}\right)

\dfrac{dy}{dx}=- \dfrac{1}{\left(x - 1\right) \left(x + 1\right)}

this is our answer!

8 0
3 years ago
7/8 - 1/4 - 1/2= ??
madreJ [45]

Step-by-step explanation:

We can break this up into pieces, first we do, 7/8 - 1/4, find the least common denominator which is 8, so the equation will be 7/8 - 2/8, which we can now subtract and will give us, 5/8, now that we have done that, we can do 5/8 - 1/2. Since we know that half of 8 (our denominator) is 4. Then the equation would be 5/8 - 4/8, which brings us to 1/8 as our final answer.

Cheers!

7 0
2 years ago
There are two bowls. One of them has 60 gems and the other has 40 gems. Some of them are red. All the gems from the two bowls ar
uranmaximum [27]

Answer:

60/40

the awnser for the question is 3/2

5 0
3 years ago
Choose the graph of the solution to this inequality.
Dmitriy789 [7]

Answer:

we can translate the given statement into-8 ≥ -5x + 2 > -38.

In this case, we can dissect the inequality into two parts:

-8 ≥ -5x + 2  and -5x + 2 > -38

Step-by-step explanation:

-8 ≥ -5x + 2 5x ≥ 10x ≥ 2 (closed dot)

-5x + 2 > -38 5x < 40x < 8 (open dot)

The answer then is c) number line with a closed dot on 2 and an open dot on 8 and shading in between

8 0
2 years ago
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