The length of the given arc is 706.86 ft.
<h3>Length of arc</h3>
The length of the arc is determined by taking the product of radius and subtended angle of the arc.
S = rθ
where;
- r is the radius
- θ is the subtended angle
The length of the arc is calculated as follows;
Thus, the length of the given arc is 706.86 ft.
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Answer:
3 m4 • sqrt(2m)
Step-by-step explanation:
STEP 1: Factor 18 into its prime factors
18 = 2 • 32
To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.
Factors which will be extracted are :
9 = 32
Factors which will remain inside the root are :
2 = 2
To complete this part of the simplification we take the squre root of the factors which are to be extracted. We do this by dividing their exponents by 2 :
3 = 3
At the end of this step the partly simplified SQRT looks like this:
3 • sqrt (2m9)
STEP 2: Rules for simplifing variables which may be raised to a power:
(1) variables with no exponent stay inside the radical
(2) variables raised to power 1 or (-1) stay inside the radical
(3) variables raised to an even exponent: Half the exponent taken out, nothing remains inside the radical. examples:
(3.1) sqrt(x8)=x4
(3.2) sqrt(x-6)=x-3
(4) variables raised to an odd exponent which is >2 or <(-2) , examples:
(4.1) sqrt(x5)=x2•sqrt(x)
(4.2) sqrt(x-7)=x-3•sqrt(x-1)
Applying these rules to our case we find out that
SQRT(m9) = m4 • SQRT(m)
Answer: DescriptionIn mathematical physics, the Yang–Mills existence and mass gap problem is an unsolved problem and one of the seven Millennium Prize Problems defined by the Clay Mathematics Institute, which has offered a prize of US$1,000,000 for its solution. The problem is phrased as follows: Yang–Mills Existence and Mass Gap.
Answer:
D. 75x+160<760
Step-by-step explanation:
The reason is 75 has to be a variable because it changes with time. The fee is a fixed rate that will not change no matter the time. All of these values must be less than 760 meaning the variable and constant must be less than (<) 760
Answer:
3/5
Step-by-step explanation:
You'll get 0.6 if you divide it