Answer:
0.3 units
Step-by-step explanation:
The ratio of the length of the arc to the circumference of the circle is proportional to the ratio of the central angle to the sum of angle in a circle.

This implies that:

This simplifies to: 

Answer:
B.
Step-by-step explanation:
To simplify something that looks like
you would multiply the top and bottom by the conjugate of the bottom. So you multiply the top and bottom for this problem I just made by:
.
If you had
, then you would multiply top and bottom the conjugate of
which is
.
The conjugate of a+b is a-b.
These have a term for it because when you multiply them something special happens. The middle terms cancel so you only have to really multiply the first terms and the last terms.
Let's see:
(a+b)(a-b)
I'm going to use foil:
First: a(a)=a^2
Outer: a(-b)=-ab
Inner: b(a)=ab
Last: b(-b)=-b^2
--------------------------Adding.
a^2-b^2
See -ab+ab canceled so all you had to do was the "first" and "last" of foil.
This would get rid of square roots if a and b had them because they are being squared.
Anyways the conjugate of
is
.
This is the thing we are multiplying and top and bottom.
Answer:
13.99
Step-by-step explanation:
So the hundredths place is the second digit after the decimal point in this case it is 8.
So the number after it is 9 so we round up.
The number after 8 is 9
So 13.989 to the nearest hundredth place is 13.99
Answer:
140,000
Step-by-step explanation:
Take 400,000 * 0.35 = 140,000.
When given a percentage, take the number and divide by 100.
In this case 35 / 100 = 0.35.
Then you can take the total amount and multiply it by the percentage in decimal form.
In this case 400,000 * 0.35
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Answer:</u></h2>
y = cos ^- 1 (x)
Step-by-step explanation:
The Function y = cos -1x = arccos x and its Graph: Since y = cos -1x is the inverse of the function y = cos x, the function y = cos -1x if and only if cos y = x. This leaves the range of the restricted function unchanged as [-1, 1].