The radius of circle is 41.76 cm
<u><em>Solution:</em></u>
Given that, 70° arc of a circle has a length of 51 cm
To find: Radius of circle
<em><u>The formula for arc length when angle given in degrees is:</u></em>
Where,
"r" is the radius of circle and is the central angle in radians
From given,
Arc length = 51 cm
= 70 degrees
<em><u>Substituting the values in formula,</u></em>
Thus the radius of circle is 41.76 cm
Answer: (B) 53%
Step-by-step explanation:
Given : The probability that registered voters are Democrats P(D)= 0.60
The probability that of registered voters are Republicans P(R)= 100%-60%=40% =0.4
The probability that the registered voters who are Democrats are expected to vote for Candidate A : P(A|D)=0.75
The probability that the registered voters who are Republicans are expected to vote for Candidate P(A|R) = 0.20
Then by using Law of total probability , the probability of the registered voters are expected to vote for Candidate A :-
Hence, the percent of the registered voters are expected to vote for Candidate A=53%
Hence, the correct option is (B).
Answer:
x=-3,y=3
Step-by-step explanation:
substitute y
-2x-3=x+6
solve for x
3x=-9
x=-3
Substitute x in one equation
y=-3+6
y=3
N+d=33
5n+10d=235
n=-d+33
-5d+165+10d=235
5d=70
d=14
n=19
Ayana has 14 dimes and 19 nickels
The difference between the flat fees of the two companies is $20