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Snezhnost [94]
3 years ago
13

IMPORTANT!! in a unit circle, what is the relationship between arc length and central angle?

Mathematics
1 answer:
Ugo [173]3 years ago
5 0

The measure of an arc refers to the arc length divided by the radius of the circle. The arc measure equals the corresponding central angle measure, in radians. That's why radians are natural: a central angle of one radian will span an arc exactly one radius long.

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Solve the given equation. If necessary, round to four decimal places. log2 3 + log2 a = log2 10
cestrela7 [59]

Answer:

3.333 if the equation is: \log_2(3)+\log_2(a)=\log_2(10)

Step-by-step explanation:

Looks like you are saying those are base logarithms.

I think you have the equation:

\log_2(3)+\log_2(a)=\log_2(10)

Use product rule, that is, \log(uv)=\log(u)+\log(v).

\log_2(3\cdot a)=\log_2(10)

Both sides are the same except the insides.  If we want the left hand side to be the same as the right hand side, then we need 3a and 10 to be the same.

When are those the same?

Set them equal and find out!

3a=10

Divide boht sides by 3:

a=10/3

Perform the division in your calculator:

10 division sign 3

gives you 3.333333333(repeating).

8 0
4 years ago
Describe how to write 0.0000672 in scientific notation
prohojiy [21]
You have to remeber that you have to have a number that is less than 10, but equal or greater than 1! Okay since your trying to get between 1-10 with this number you would move the decimal point 5 places to the right. And since you are going back it is going to be negative so the answer would be 6.72*10^-5
4 0
4 years ago
Read 2 more answers
What is the equation of the circle with: center (5, 7) and point on the circle: (-2, 8)
Elis [28]

Answer:

(x-5)^2+(y-7)^2=50

Step-by-step explanation:

Hi there!

Equation of a circle: (x-h)^2+(y-k)^2=r^2 where the circle is centered at (h,k) and r is the radius

Plug in the center (5,7)

(x-5)^2+(y-7)^2=r^2

Plug in the given point (-2,8) to solve for r²

(-2-5)^2+(8-7)^2=r^2\\(-7)^2+(1)^2=r^2\\49+1=r^2\\50=r^2

Therefore, r² is equal to 50. Plug this back into (x-5)^2+(y-7)^2=r^2

(x-5)^2+(y-7)^2=50

I hope this helps!

5 0
3 years ago
How do you study easy for math?
nikklg [1K]
Take notes during class, and just find your own unique way of studying. If you like to sing, or write, then make a poem, rap, or song about the material you need to study. That's just something.
Hope I helped!
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3 years ago
What is the perimeter of rectangle JKLM 16 units 9 units 18 units 15 units ​
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58 is the perimeter........
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