The arc length in degrees is 53 degrees
to find the legth find the fraction of the circle the arc is, this would be 53/360
multiply that by the circumference to find the length:
53/360 * 18 = (53*18) / 360 = 954 / 360 = 2.65 inches
Answer:
Step-by-step explanation:
apply the rule (a) = a 
apply the exponent rule
add the numbers
which would make the answer
C = 82.8°
<span>b = 27.5 </span>
<span>Here's the working in case you need to see it. </span>
<span>Using Law of Cosines to first find b: </span>
<span>b² = a² + c² - 2acCOS(B) </span>
<span>b² = (41)² + (20)² - 2(41)(20)COS(36) </span>
<span>b = about 27.5 </span>
<span>Now using Law of Sines to find A </span>
<span>sin(36) / (27.5 = sin(A) / (41) </span>
<span>sin(A) = 41sin36 / 27.5 </span>
<span>sin(A) = 0.876334376145 </span>
<span>A = SinInverse(0.876334376145) </span>
<span>A = about 61.2° </span>
<span>Now using 180-61.2-36 to find B = 82.8° </span>
<span>Have a good day! </span>
Answer:
81
Step-by-step explanation:
When two variables have direct variation, as one variable increases the other variable increases or as one variable decrease, the other decrease. While for an inverse variation, as one variable increase, the other variable decrease or as one variable decrease, the other variable increase.
Given that a ∝ 1/b. Also b ∝ c².
Hence if k is the constant of proportionality, we have:
a ∝ 1 / c²
a = k / c²
When a = 1, c = 3, hence:
1 = k / 3²
k = 1 * 3²
k = 9
Therefore:
a = 9 / c²
When c = 1/3
a = 9 / (1/3)²
a = 9 / (1² / 3²)
a = 9 / (1 / 9)
a = 9 * 9
a = 81
